Equilibrium points and periodic orbits of higher order autonomous generalized Birkhoff system
Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Chen, Xiangwei [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Wien 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 224(2013), 8 vom: 27. Feb., Seite 1593-1599 |
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| Übergeordnetes Werk: |
volume:224 ; year:2013 ; number:8 ; day:27 ; month:02 ; pages:1593-1599 |
| Links: |
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| DOI / URN: |
10.1007/s00707-013-0810-9 |
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OLC2030138894 |
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| 520 | |a Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. Finally, the existence theorem of periodic orbits is given by the Liapunov center theorem. | ||
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10.1007/s00707-013-0810-9 doi (DE-627)OLC2030138894 (DE-He213)s00707-013-0810-9-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Xiangwei verfasserin aut Equilibrium points and periodic orbits of higher order autonomous generalized Birkhoff system 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. Finally, the existence theorem of periodic orbits is given by the Liapunov center theorem. Periodic Orbit Equilibrium Point Characteristic Equation Acta Phys Characteristic Root Li, Yanmin aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 8 vom: 27. Feb., Seite 1593-1599 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:8 day:27 month:02 pages:1593-1599 https://doi.org/10.1007/s00707-013-0810-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 8 27 02 1593-1599 |
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10.1007/s00707-013-0810-9 doi (DE-627)OLC2030138894 (DE-He213)s00707-013-0810-9-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Xiangwei verfasserin aut Equilibrium points and periodic orbits of higher order autonomous generalized Birkhoff system 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. Finally, the existence theorem of periodic orbits is given by the Liapunov center theorem. Periodic Orbit Equilibrium Point Characteristic Equation Acta Phys Characteristic Root Li, Yanmin aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 8 vom: 27. Feb., Seite 1593-1599 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:8 day:27 month:02 pages:1593-1599 https://doi.org/10.1007/s00707-013-0810-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 8 27 02 1593-1599 |
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10.1007/s00707-013-0810-9 doi (DE-627)OLC2030138894 (DE-He213)s00707-013-0810-9-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Xiangwei verfasserin aut Equilibrium points and periodic orbits of higher order autonomous generalized Birkhoff system 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. Finally, the existence theorem of periodic orbits is given by the Liapunov center theorem. Periodic Orbit Equilibrium Point Characteristic Equation Acta Phys Characteristic Root Li, Yanmin aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 8 vom: 27. Feb., Seite 1593-1599 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:8 day:27 month:02 pages:1593-1599 https://doi.org/10.1007/s00707-013-0810-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 8 27 02 1593-1599 |
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10.1007/s00707-013-0810-9 doi (DE-627)OLC2030138894 (DE-He213)s00707-013-0810-9-p DE-627 ger DE-627 rakwb eng 530 VZ Chen, Xiangwei verfasserin aut Equilibrium points and periodic orbits of higher order autonomous generalized Birkhoff system 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. Finally, the existence theorem of periodic orbits is given by the Liapunov center theorem. Periodic Orbit Equilibrium Point Characteristic Equation Acta Phys Characteristic Root Li, Yanmin aut Enthalten in Acta mechanica Springer Vienna, 1965 224(2013), 8 vom: 27. Feb., Seite 1593-1599 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:224 year:2013 number:8 day:27 month:02 pages:1593-1599 https://doi.org/10.1007/s00707-013-0810-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2020 GBV_ILN_4700 AR 224 2013 8 27 02 1593-1599 |
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Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. Finally, the existence theorem of periodic orbits is given by the Liapunov center theorem. © Springer-Verlag Wien 2013 |
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Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. Finally, the existence theorem of periodic orbits is given by the Liapunov center theorem. © Springer-Verlag Wien 2013 |
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Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. Finally, the existence theorem of periodic orbits is given by the Liapunov center theorem. © Springer-Verlag Wien 2013 |
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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">OLC2030138894</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502143243.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2013 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00707-013-0810-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2030138894</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00707-013-0810-9-p</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="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chen, Xiangwei</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Equilibrium points and periodic orbits of higher order autonomous generalized Birkhoff system</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag Wien 2013</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Equilibrium points and periodic orbits of a higher order autonomous generalized Birkhoff system are studied by using qualitative methods of ordinary differential equations and the Liapunov center theorem. First, the equilibrium points and their properties are obtained from the equations of equilibrium points. Then, the characteristic roots of the Fréchet derivative C are obtained, and the type of equilibrium points of the system is verified. 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