An exact homoclinic orbit and its connection with the Rössler system
In this Letter we consider a three parameter unfolding of a linear degeneracy corresponding to a triple-zero eigenvalue of an equilibrium point. Using blow-up techniques we obtain a system where an exact homoclinic connection is determined. The numerical continuation of this global connection shows...
Ausführliche Beschreibung
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| Autor*in: |
Algaba, A. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Umfang: |
8 |
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| Übergeordnetes Werk: |
Enthalten in: Transient response and failure of medium density fibreboard panels subjected to air-blast loading - Langdon, G.S. ELSEVIER, 2021, Amsterdam |
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| Übergeordnetes Werk: |
volume:379 ; year:2015 ; number:16 ; day:19 ; month:06 ; pages:1114-1121 ; extent:8 |
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| DOI / URN: |
10.1016/j.physleta.2015.02.017 |
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| 520 | |a In this Letter we consider a three parameter unfolding of a linear degeneracy corresponding to a triple-zero eigenvalue of an equilibrium point. Using blow-up techniques we obtain a system where an exact homoclinic connection is determined. The numerical continuation of this global connection shows that it exhibits three different kinds of codimension-two degeneracies. Finally, these same codimension-two homoclinic bifurcations are detected in the Rössler system, ensuring in this way the existence of chaotic dynamics. | ||
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10.1016/j.physleta.2015.02.017 doi GBVA2015012000013.pica (DE-627)ELV034583157 (ELSEVIER)S0375-9601(15)00174-7 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 51.75 bkl Algaba, A. verfasserin aut An exact homoclinic orbit and its connection with the Rössler system 2015 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this Letter we consider a three parameter unfolding of a linear degeneracy corresponding to a triple-zero eigenvalue of an equilibrium point. Using blow-up techniques we obtain a system where an exact homoclinic connection is determined. The numerical continuation of this global connection shows that it exhibits three different kinds of codimension-two degeneracies. Finally, these same codimension-two homoclinic bifurcations are detected in the Rössler system, ensuring in this way the existence of chaotic dynamics. Homoclinic orbit Elsevier Triple-zero degeneracy Elsevier Rössler system Elsevier Freire, E. oth Gamero, E. oth Rodríguez-Luis, A.J. oth Enthalten in North-Holland Publ Langdon, G.S. ELSEVIER Transient response and failure of medium density fibreboard panels subjected to air-blast loading 2021 Amsterdam (DE-627)ELV006407811 volume:379 year:2015 number:16 day:19 month:06 pages:1114-1121 extent:8 https://doi.org/10.1016/j.physleta.2015.02.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.75 Verbundwerkstoffe Schichtstoffe VZ AR 379 2015 16 19 0619 1114-1121 8 045F 530 |
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10.1016/j.physleta.2015.02.017 doi GBVA2015012000013.pica (DE-627)ELV034583157 (ELSEVIER)S0375-9601(15)00174-7 DE-627 ger DE-627 rakwb eng 530 530 DE-600 670 VZ 51.75 bkl Algaba, A. verfasserin aut An exact homoclinic orbit and its connection with the Rössler system 2015 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this Letter we consider a three parameter unfolding of a linear degeneracy corresponding to a triple-zero eigenvalue of an equilibrium point. Using blow-up techniques we obtain a system where an exact homoclinic connection is determined. The numerical continuation of this global connection shows that it exhibits three different kinds of codimension-two degeneracies. Finally, these same codimension-two homoclinic bifurcations are detected in the Rössler system, ensuring in this way the existence of chaotic dynamics. Homoclinic orbit Elsevier Triple-zero degeneracy Elsevier Rössler system Elsevier Freire, E. oth Gamero, E. oth Rodríguez-Luis, A.J. oth Enthalten in North-Holland Publ Langdon, G.S. ELSEVIER Transient response and failure of medium density fibreboard panels subjected to air-blast loading 2021 Amsterdam (DE-627)ELV006407811 volume:379 year:2015 number:16 day:19 month:06 pages:1114-1121 extent:8 https://doi.org/10.1016/j.physleta.2015.02.017 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.75 Verbundwerkstoffe Schichtstoffe VZ AR 379 2015 16 19 0619 1114-1121 8 045F 530 |
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In this Letter we consider a three parameter unfolding of a linear degeneracy corresponding to a triple-zero eigenvalue of an equilibrium point. Using blow-up techniques we obtain a system where an exact homoclinic connection is determined. The numerical continuation of this global connection shows that it exhibits three different kinds of codimension-two degeneracies. Finally, these same codimension-two homoclinic bifurcations are detected in the Rössler system, ensuring in this way the existence of chaotic dynamics. |
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In this Letter we consider a three parameter unfolding of a linear degeneracy corresponding to a triple-zero eigenvalue of an equilibrium point. Using blow-up techniques we obtain a system where an exact homoclinic connection is determined. The numerical continuation of this global connection shows that it exhibits three different kinds of codimension-two degeneracies. Finally, these same codimension-two homoclinic bifurcations are detected in the Rössler system, ensuring in this way the existence of chaotic dynamics. |
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In this Letter we consider a three parameter unfolding of a linear degeneracy corresponding to a triple-zero eigenvalue of an equilibrium point. Using blow-up techniques we obtain a system where an exact homoclinic connection is determined. The numerical continuation of this global connection shows that it exhibits three different kinds of codimension-two degeneracies. Finally, these same codimension-two homoclinic bifurcations are detected in the Rössler system, ensuring in this way the existence of chaotic dynamics. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV034583157</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230624014205.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2015 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.physleta.2015.02.017</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2015012000013.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV034583157</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0375-9601(15)00174-7</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">530</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">670</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">51.75</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Algaba, A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An exact homoclinic orbit and its connection with the Rössler system</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">8</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">In this Letter we consider a three parameter unfolding of a linear degeneracy corresponding to a triple-zero eigenvalue of an equilibrium point. 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