Bifurcation of limit cycles of a class of piecewise linear differential systems in \(\mathfrak R^4\) with three zones
type: Item
instance of: scholarly article
title: Bifurcation of limit cycles of a class of piecewise linear differential systems in \(\mathfrak R^4\) with three zones
zbMATH Open document ID: 1264.34054
DOI: 10.1155/2013/385419
author: Yanyan Cheng
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: We study the bifurcation of limit cycles from periodic orbits of a four-dimensional system when the perturbation is piecewise linear with two switching boundaries. Our main result shows that when the parameter is sufficiently small at most, six limit cycles can bifurcate from periodic orbits in a class of asymmetric piecewise linear perturbed systems, and, at most, three limit cycles can bifurcate from periodic orbits in another class of asymmetric piecewise linear perturbed systems. Moreover, there are perturbed systems having six limit cycles. The main technique is the averaging method.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6175074
Wikidata QID: Q58921544
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/385419
OpenAlex ID: W1964489467
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description: scientific article; zbMATH DE number 6175074