The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system

Chengzhi Li; Jaume Llibre

doi:https://doi.org/10.1088/0951-7715/22/12/009

The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system

Chengzhi Li, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

24 Citations (Scopus)

Abstract

We prove that by perturbing the periodic annulus of the quadratic polynomial reversible Lotka-Volterra differential system , , inside the class of all quadratic polynomial differential systems we can obtain at most two limit cycles. © 2009 IOP Publishing Ltd and London Mathematical Society.

Original language	English
Pages (from-to)	2971-2979
Journal	Nonlinearity
Volume	22
DOIs	https://doi.org/10.1088/0951-7715/22/12/009
Publication status	Published - 1 Dec 2009

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title = "The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system",

abstract = "We prove that by perturbing the periodic annulus of the quadratic polynomial reversible Lotka-Volterra differential system , , inside the class of all quadratic polynomial differential systems we can obtain at most two limit cycles. {\textcopyright} 2009 IOP Publishing Ltd and London Mathematical Society.",

author = "Chengzhi Li and Jaume Llibre",

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AU - Llibre, Jaume

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N2 - We prove that by perturbing the periodic annulus of the quadratic polynomial reversible Lotka-Volterra differential system , , inside the class of all quadratic polynomial differential systems we can obtain at most two limit cycles. © 2009 IOP Publishing Ltd and London Mathematical Society.

AB - We prove that by perturbing the periodic annulus of the quadratic polynomial reversible Lotka-Volterra differential system , , inside the class of all quadratic polynomial differential systems we can obtain at most two limit cycles. © 2009 IOP Publishing Ltd and London Mathematical Society.

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DO - https://doi.org/10.1088/0951-7715/22/12/009

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SP - 2971

EP - 2979

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

ER -

The cyclicity of period annulus of a quadratic reversible Lotka-Volterra system

Abstract

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