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Study of Perturbed Lotka–Volterra Systems Via Abelian Integrals

✍ Scribed by A. Gasull; A. Guillamon; Chengzhi Li; Zhifen Zhang

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 266 KB
Volume: 198
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0109

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✦ Synopsis

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.

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