Averaging on slow and fast cycles of a three time scale system
Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yadi, Karim [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2014transfer abstract |
|---|
| Schlagwörter: |
|---|
| Umfang: |
23 |
|---|
| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:413 ; year:2014 ; number:2 ; day:15 ; month:05 ; pages:976-998 ; extent:23 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.jmaa.2013.12.044 |
|---|
| Katalog-ID: |
ELV018071643 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | ELV018071643 | ||
| 003 | DE-627 | ||
| 005 | 20230625123307.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180602s2014 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.jmaa.2013.12.044 |2 doi | |
| 028 | 5 | 2 | |a GBVA2014022000027.pica |
| 035 | |a (DE-627)ELV018071643 | ||
| 035 | |a (ELSEVIER)S0022-247X(13)01139-6 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | |a 510 | |
| 082 | 0 | 4 | |a 510 |q DE-600 |
| 082 | 0 | 4 | |a 610 |q VZ |
| 084 | |a 44.40 |2 bkl | ||
| 100 | 1 | |a Yadi, Karim |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Averaging on slow and fast cycles of a three time scale system |
| 264 | 1 | |c 2014transfer abstract | |
| 300 | |a 23 | ||
| 336 | |a nicht spezifiziert |b zzz |2 rdacontent | ||
| 337 | |a nicht spezifiziert |b z |2 rdamedia | ||
| 338 | |a nicht spezifiziert |b zu |2 rdacarrier | ||
| 520 | |a Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. | ||
| 520 | |a Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. | ||
| 650 | 7 | |a Relaxation |2 Elsevier | |
| 650 | 7 | |a Nonstandard analysis |2 Elsevier | |
| 650 | 7 | |a Singular perturbations |2 Elsevier | |
| 650 | 7 | |a Three time scale system |2 Elsevier | |
| 650 | 7 | |a Limit cycle |2 Elsevier | |
| 650 | 7 | |a Stroboscopy Lemma |2 Elsevier | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a Sibilio, Pasquale ELSEVIER |t In silico drug repurposing in COVID-19: A network-based analysis |d 2021 |g Amsterdam [u.a.] |w (DE-627)ELV006634001 |
| 773 | 1 | 8 | |g volume:413 |g year:2014 |g number:2 |g day:15 |g month:05 |g pages:976-998 |g extent:23 |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jmaa.2013.12.044 |3 Volltext |
| 912 | |a GBV_USEFLAG_U | ||
| 912 | |a GBV_ELV | ||
| 912 | |a SYSFLAG_U | ||
| 912 | |a SSG-OLC-PHA | ||
| 912 | |a SSG-OPC-PHA | ||
| 936 | b | k | |a 44.40 |j Pharmazie |j Pharmazeutika |q VZ |
| 951 | |a AR | ||
| 952 | |d 413 |j 2014 |e 2 |b 15 |c 0515 |h 976-998 |g 23 | ||
| 953 | |2 045F |a 510 | ||
| author_variant |
k y ky |
|---|---|
| matchkey_str |
yadikarim:2014----:vrgnosoadatylsftre |
| hierarchy_sort_str |
2014transfer abstract |
| bklnumber |
44.40 |
| publishDate |
2014 |
| allfields |
10.1016/j.jmaa.2013.12.044 doi GBVA2014022000027.pica (DE-627)ELV018071643 (ELSEVIER)S0022-247X(13)01139-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Yadi, Karim verfasserin aut Averaging on slow and fast cycles of a three time scale system 2014transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma Elsevier Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:413 year:2014 number:2 day:15 month:05 pages:976-998 extent:23 https://doi.org/10.1016/j.jmaa.2013.12.044 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 413 2014 2 15 0515 976-998 23 045F 510 |
| spelling |
10.1016/j.jmaa.2013.12.044 doi GBVA2014022000027.pica (DE-627)ELV018071643 (ELSEVIER)S0022-247X(13)01139-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Yadi, Karim verfasserin aut Averaging on slow and fast cycles of a three time scale system 2014transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma Elsevier Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:413 year:2014 number:2 day:15 month:05 pages:976-998 extent:23 https://doi.org/10.1016/j.jmaa.2013.12.044 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 413 2014 2 15 0515 976-998 23 045F 510 |
| allfields_unstemmed |
10.1016/j.jmaa.2013.12.044 doi GBVA2014022000027.pica (DE-627)ELV018071643 (ELSEVIER)S0022-247X(13)01139-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Yadi, Karim verfasserin aut Averaging on slow and fast cycles of a three time scale system 2014transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma Elsevier Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:413 year:2014 number:2 day:15 month:05 pages:976-998 extent:23 https://doi.org/10.1016/j.jmaa.2013.12.044 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 413 2014 2 15 0515 976-998 23 045F 510 |
| allfieldsGer |
10.1016/j.jmaa.2013.12.044 doi GBVA2014022000027.pica (DE-627)ELV018071643 (ELSEVIER)S0022-247X(13)01139-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Yadi, Karim verfasserin aut Averaging on slow and fast cycles of a three time scale system 2014transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma Elsevier Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:413 year:2014 number:2 day:15 month:05 pages:976-998 extent:23 https://doi.org/10.1016/j.jmaa.2013.12.044 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 413 2014 2 15 0515 976-998 23 045F 510 |
| allfieldsSound |
10.1016/j.jmaa.2013.12.044 doi GBVA2014022000027.pica (DE-627)ELV018071643 (ELSEVIER)S0022-247X(13)01139-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 44.40 bkl Yadi, Karim verfasserin aut Averaging on slow and fast cycles of a three time scale system 2014transfer abstract 23 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma Elsevier Enthalten in Elsevier Sibilio, Pasquale ELSEVIER In silico drug repurposing in COVID-19: A network-based analysis 2021 Amsterdam [u.a.] (DE-627)ELV006634001 volume:413 year:2014 number:2 day:15 month:05 pages:976-998 extent:23 https://doi.org/10.1016/j.jmaa.2013.12.044 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 413 2014 2 15 0515 976-998 23 045F 510 |
| language |
English |
| source |
Enthalten in In silico drug repurposing in COVID-19: A network-based analysis Amsterdam [u.a.] volume:413 year:2014 number:2 day:15 month:05 pages:976-998 extent:23 |
| sourceStr |
Enthalten in In silico drug repurposing in COVID-19: A network-based analysis Amsterdam [u.a.] volume:413 year:2014 number:2 day:15 month:05 pages:976-998 extent:23 |
| format_phy_str_mv |
Article |
| bklname |
Pharmazie Pharmazeutika |
| institution |
findex.gbv.de |
| topic_facet |
Relaxation Nonstandard analysis Singular perturbations Three time scale system Limit cycle Stroboscopy Lemma |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
In silico drug repurposing in COVID-19: A network-based analysis |
| authorswithroles_txt_mv |
Yadi, Karim @@aut@@ |
| publishDateDaySort_date |
2014-01-15T00:00:00Z |
| hierarchy_top_id |
ELV006634001 |
| dewey-sort |
3510 |
| id |
ELV018071643 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV018071643</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625123307.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180602s2014 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.jmaa.2013.12.044</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2014022000027.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV018071643</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0022-247X(13)01139-6</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44.40</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yadi, Karim</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Averaging on slow and fast cycles of a three time scale system</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">23</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Relaxation</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nonstandard analysis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Singular perturbations</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Three time scale system</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Limit cycle</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Stroboscopy Lemma</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier</subfield><subfield code="a">Sibilio, Pasquale ELSEVIER</subfield><subfield code="t">In silico drug repurposing in COVID-19: A network-based analysis</subfield><subfield code="d">2021</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV006634001</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:413</subfield><subfield code="g">year:2014</subfield><subfield code="g">number:2</subfield><subfield code="g">day:15</subfield><subfield code="g">month:05</subfield><subfield code="g">pages:976-998</subfield><subfield code="g">extent:23</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.jmaa.2013.12.044</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-PHA</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">44.40</subfield><subfield code="j">Pharmazie</subfield><subfield code="j">Pharmazeutika</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">413</subfield><subfield code="j">2014</subfield><subfield code="e">2</subfield><subfield code="b">15</subfield><subfield code="c">0515</subfield><subfield code="h">976-998</subfield><subfield code="g">23</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">510</subfield></datafield></record></collection>
|
| author |
Yadi, Karim |
| spellingShingle |
Yadi, Karim ddc 510 ddc 610 bkl 44.40 Elsevier Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma Averaging on slow and fast cycles of a three time scale system |
| authorStr |
Yadi, Karim |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)ELV006634001 |
| format |
electronic Article |
| dewey-ones |
510 - Mathematics 610 - Medicine & health |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
elsevier |
| remote_str |
true |
| illustrated |
Not Illustrated |
| topic_title |
510 510 DE-600 610 VZ 44.40 bkl Averaging on slow and fast cycles of a three time scale system Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma Elsevier |
| topic |
ddc 510 ddc 610 bkl 44.40 Elsevier Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma |
| topic_unstemmed |
ddc 510 ddc 610 bkl 44.40 Elsevier Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma |
| topic_browse |
ddc 510 ddc 610 bkl 44.40 Elsevier Relaxation Elsevier Nonstandard analysis Elsevier Singular perturbations Elsevier Three time scale system Elsevier Limit cycle Elsevier Stroboscopy Lemma |
| format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
zu |
| hierarchy_parent_title |
In silico drug repurposing in COVID-19: A network-based analysis |
| hierarchy_parent_id |
ELV006634001 |
| dewey-tens |
510 - Mathematics 610 - Medicine & health |
| hierarchy_top_title |
In silico drug repurposing in COVID-19: A network-based analysis |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)ELV006634001 |
| title |
Averaging on slow and fast cycles of a three time scale system |
| ctrlnum |
(DE-627)ELV018071643 (ELSEVIER)S0022-247X(13)01139-6 |
| title_full |
Averaging on slow and fast cycles of a three time scale system |
| author_sort |
Yadi, Karim |
| journal |
In silico drug repurposing in COVID-19: A network-based analysis |
| journalStr |
In silico drug repurposing in COVID-19: A network-based analysis |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science 600 - Technology |
| recordtype |
marc |
| publishDateSort |
2014 |
| contenttype_str_mv |
zzz |
| container_start_page |
976 |
| author_browse |
Yadi, Karim |
| container_volume |
413 |
| physical |
23 |
| class |
510 510 DE-600 610 VZ 44.40 bkl |
| format_se |
Elektronische Aufsätze |
| author-letter |
Yadi, Karim |
| doi_str_mv |
10.1016/j.jmaa.2013.12.044 |
| dewey-full |
510 610 |
| title_sort |
averaging on slow and fast cycles of a three time scale system |
| title_auth |
Averaging on slow and fast cycles of a three time scale system |
| abstract |
Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. |
| abstractGer |
Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. |
| abstract_unstemmed |
Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis. |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA |
| container_issue |
2 |
| title_short |
Averaging on slow and fast cycles of a three time scale system |
| url |
https://doi.org/10.1016/j.jmaa.2013.12.044 |
| remote_bool |
true |
| ppnlink |
ELV006634001 |
| mediatype_str_mv |
z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1016/j.jmaa.2013.12.044 |
| up_date |
2024-07-06T17:53:45.489Z |
| _version_ |
1803853156046602240 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV018071643</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625123307.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180602s2014 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.jmaa.2013.12.044</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2014022000027.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV018071643</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0022-247X(13)01139-6</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44.40</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Yadi, Karim</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Averaging on slow and fast cycles of a three time scale system</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">23</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Pontryagin–Rodyginʼs Theorem for slow and fast systems describes the slow drift during the rolling up of the trajectories around the cycles of the fast dynamics. This drift is approximated by the averaging on the cycles. The calculation of this average is generally a difficult task since it requires the knowledge of the closed orbits and their periods. We present two paradigms of three time scale systems where we can overcome this limitation. It is the case of systems the fast dynamics of which have cycles with relaxation presenting or not a canard phenomenon. We can not apply Pontryagin–Rodyginʼs Theorem to these systems because their fast equation is itself singularly perturbed. We also investigate the extension of the results to unbounded time intervals. The results are stated classically and proved within the framework of nonstandard analysis.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Relaxation</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nonstandard analysis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Singular perturbations</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Three time scale system</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Limit cycle</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Stroboscopy Lemma</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier</subfield><subfield code="a">Sibilio, Pasquale ELSEVIER</subfield><subfield code="t">In silico drug repurposing in COVID-19: A network-based analysis</subfield><subfield code="d">2021</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV006634001</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:413</subfield><subfield code="g">year:2014</subfield><subfield code="g">number:2</subfield><subfield code="g">day:15</subfield><subfield code="g">month:05</subfield><subfield code="g">pages:976-998</subfield><subfield code="g">extent:23</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.jmaa.2013.12.044</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-PHA</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">44.40</subfield><subfield code="j">Pharmazie</subfield><subfield code="j">Pharmazeutika</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">413</subfield><subfield code="j">2014</subfield><subfield code="e">2</subfield><subfield code="b">15</subfield><subfield code="c">0515</subfield><subfield code="h">976-998</subfield><subfield code="g">23</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">510</subfield></datafield></record></collection>
|
| score |
7.3994074 |