Study of perturbed Lotka-Volterra systems via Abelian integrals
type: Item
instance of: scholarly article
title: Study of perturbed Lotka-Volterra systems via Abelian integrals
zbMATH Open document ID: 0854.34034
author: Armengol Gasull
author: Antoni Guillamon
author: Chengzhi Li
author: Zhifen Zhang
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-07-18T00:00:00Z
review text: The classical Lotka-Volterra predator-prey system is considered as a Hamiltonian one. This Hamiltonian system is perturbed by using special functions. The authors investigate the number of limit cycles in the perturbed system and determine that this number is unbounded. The main tools used are Abelian integrals and degenerate Hopf bifurcation.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 906450
zbMATH Keywords: Lotka-Volterra predator-prey system
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: number of limit cycles
zbMATH Keywords: Abelian integrals
zbMATH Keywords: degenerate Hopf bifurcation
reviewed by: Angel B. Dishliev
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0109
OpenAlex ID: W2079754517
DOI: 10.1006/JMAA.1996.0109
description: scientific article; zbMATH DE number 906450