On the rattleback dynamics
In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we pr...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Tudoran, Răzvan M. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: In silico drug repurposing in COVID-19: A network-based analysis - Sibilio, Pasquale ELSEVIER, 2021, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:488 ; year:2020 ; number:1 ; day:1 ; month:08 ; pages:0 |
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| DOI / URN: |
10.1016/j.jmaa.2020.124066 |
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| 520 | |a In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. | ||
| 520 | |a In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. | ||
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10.1016/j.jmaa.2020.124066 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000961.pica (DE-627)ELV04988137X (ELSEVIER)S0022-247X(20)30228-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Tudoran, Răzvan M. verfasserin aut On the rattleback dynamics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. Periodic orbits Elsevier Stability Elsevier Heteroclinic orbits Elsevier Asymptotic stabilization Elsevier Equilibria Elsevier Energy-Casimir mapping Elsevier Gîrban, Anania oth 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:488 year:2020 number:1 day:1 month:08 pages:0 https://doi.org/10.1016/j.jmaa.2020.124066 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 488 2020 1 1 0801 0 |
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10.1016/j.jmaa.2020.124066 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000961.pica (DE-627)ELV04988137X (ELSEVIER)S0022-247X(20)30228-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Tudoran, Răzvan M. verfasserin aut On the rattleback dynamics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. Periodic orbits Elsevier Stability Elsevier Heteroclinic orbits Elsevier Asymptotic stabilization Elsevier Equilibria Elsevier Energy-Casimir mapping Elsevier Gîrban, Anania oth 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:488 year:2020 number:1 day:1 month:08 pages:0 https://doi.org/10.1016/j.jmaa.2020.124066 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 488 2020 1 1 0801 0 |
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10.1016/j.jmaa.2020.124066 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000961.pica (DE-627)ELV04988137X (ELSEVIER)S0022-247X(20)30228-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Tudoran, Răzvan M. verfasserin aut On the rattleback dynamics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. Periodic orbits Elsevier Stability Elsevier Heteroclinic orbits Elsevier Asymptotic stabilization Elsevier Equilibria Elsevier Energy-Casimir mapping Elsevier Gîrban, Anania oth 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:488 year:2020 number:1 day:1 month:08 pages:0 https://doi.org/10.1016/j.jmaa.2020.124066 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 488 2020 1 1 0801 0 |
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10.1016/j.jmaa.2020.124066 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000961.pica (DE-627)ELV04988137X (ELSEVIER)S0022-247X(20)30228-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Tudoran, Răzvan M. verfasserin aut On the rattleback dynamics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. Periodic orbits Elsevier Stability Elsevier Heteroclinic orbits Elsevier Asymptotic stabilization Elsevier Equilibria Elsevier Energy-Casimir mapping Elsevier Gîrban, Anania oth 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:488 year:2020 number:1 day:1 month:08 pages:0 https://doi.org/10.1016/j.jmaa.2020.124066 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 488 2020 1 1 0801 0 |
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10.1016/j.jmaa.2020.124066 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000961.pica (DE-627)ELV04988137X (ELSEVIER)S0022-247X(20)30228-6 DE-627 ger DE-627 rakwb eng 610 VZ 44.40 bkl Tudoran, Răzvan M. verfasserin aut On the rattleback dynamics 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. Periodic orbits Elsevier Stability Elsevier Heteroclinic orbits Elsevier Asymptotic stabilization Elsevier Equilibria Elsevier Energy-Casimir mapping Elsevier Gîrban, Anania oth 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:488 year:2020 number:1 day:1 month:08 pages:0 https://doi.org/10.1016/j.jmaa.2020.124066 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA SSG-OPC-PHA 44.40 Pharmazie Pharmazeutika VZ AR 488 2020 1 1 0801 0 |
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On the rattleback dynamics |
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In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. |
| abstractGer |
In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. |
| abstract_unstemmed |
In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the article, along with a dynamical study of the orbits, using a Hamilton–Poisson realization of the dynamical system, we provide a geometric characterization of the space of orbits in terms of Whitney stratifications associated to the image of the energy–Casimir mapping. In the second half of the article we provide an explicit method to stabilize asymptotically any arbitrary fixed orbit/cycle of the rattleback system and to keep unchanged the geometry of the model space. |
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| container_issue |
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| title_short |
On the rattleback dynamics |
| url |
https://doi.org/10.1016/j.jmaa.2020.124066 |
| remote_bool |
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| author2 |
Gîrban, Anania |
| author2Str |
Gîrban, Anania |
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| doi_str |
10.1016/j.jmaa.2020.124066 |
| up_date |
2024-07-06T22:47:36.587Z |
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