Limit Cycle Bifurcations in a Quartic Ecological Model
Dynamical Systems
2009-02-17 v1 Classical Analysis and ODEs
Abstract
In this paper we complete the global qualitative analysis of a quartic ecological model. In particular, studying global bifurcations of singular points and limit cycles, we prove that the corresponding dynamical system has at most two limit cycles.
Keywords
Cite
@article{arxiv.0902.2433,
title = {Limit Cycle Bifurcations in a Quartic Ecological Model},
author = {Henk W. Broer and Valery A. Gaiko},
journal= {arXiv preprint arXiv:0902.2433},
year = {2009}
}
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13 pages