Study of perturbed Lotka-Volterra systems via Abelian integrals

A. Gasull; A. Guillamon; Chengzhi Li; Zhifen Zhang

doi:10.1006/jmaa.1996.0109

Study of perturbed Lotka-Volterra systems via Abelian integrals

A. Gasull, A. Guillamon, Chengzhi Li, Zhifen Zhang

Departament de Matemàtiques

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Resum

We consider the Lotka-Volterra system as a Hamiltonian one and study a special perturbation of it. For this perturbed system we get results on the number of limit cycles. The main tools used are Abelian integrals and degenerate Hopf bifurcation. © 1996 Academic Press, Inc.

Idioma original	Anglès
Pàgines (de-a)	703-728
Revista	Journal of Mathematical Analysis and Applications
Volum	198
DOIs	https://doi.org/10.1006/jmaa.1996.0109
Estat de la publicació	Publicada - 15 de març 1996

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10.1006/jmaa.1996.0109

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https://www.scopus.com/pages/publications/0030584539

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title = "Study of perturbed Lotka-Volterra systems via Abelian integrals",

abstract = "We consider the Lotka-Volterra system as a Hamiltonian one and study a special perturbation of it. For this perturbed system we get results on the number of limit cycles. The main tools used are Abelian integrals and degenerate Hopf bifurcation. {\textcopyright} 1996 Academic Press, Inc.",

author = "A. Gasull and A. Guillamon and Chengzhi Li and Zhifen Zhang",

year = "1996",

month = mar,

day = "15",

doi = "10.1006/jmaa.1996.0109",

language = "English",

volume = "198",

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journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

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T1 - Study of perturbed Lotka-Volterra systems via Abelian integrals

AU - Gasull, A.

AU - Guillamon, A.

AU - Li, Chengzhi

AU - Zhang, Zhifen

PY - 1996/3/15

Y1 - 1996/3/15

N2 - We consider the Lotka-Volterra system as a Hamiltonian one and study a special perturbation of it. For this perturbed system we get results on the number of limit cycles. The main tools used are Abelian integrals and degenerate Hopf bifurcation. © 1996 Academic Press, Inc.

AB - We consider the Lotka-Volterra system as a Hamiltonian one and study a special perturbation of it. For this perturbed system we get results on the number of limit cycles. The main tools used are Abelian integrals and degenerate Hopf bifurcation. © 1996 Academic Press, Inc.

UR - https://www.scopus.com/pages/publications/0030584539

U2 - 10.1006/jmaa.1996.0109

DO - 10.1006/jmaa.1996.0109

M3 - Article

SN - 0022-247X

VL - 198

SP - 703

EP - 728

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Study of perturbed Lotka-Volterra systems via Abelian integrals

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