Bifurcation of periodic orbits and its application for high-dimensional piecewise smooth near integrable systems with two switching manifolds
type: Item
instance of: scholarly article
title: Bifurcation of periodic orbits and its application for high-dimensional piecewise smooth near integrable systems with two switching manifolds
author: J. Li
author: Z. Y. Guo
author: Shaotao Zhu
author: Ting Gao
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2022-10-28T00:00:00Z
review text: In this paper, the bifurcation of periodic orbits has been investigated for a class of high-dimensional piecewise smooth near integrable systems. This is not only an extension of Melnikov function's application in such systems, but also a generalization of the Hilbert's 16th problem in high-dimensional and non-smooth systems. Although the piecewise mode in the domain of definition is specific, i.e, the three regions separated by two switching manifolds, the work is meaningful both in theory and in practice.
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7609353
zbMATH Keywords: high-dimensional systems
zbMATH Keywords: piecewise smooth
zbMATH Keywords: bifurcation of periodic orbits
zbMATH Keywords: Melnikov method
reviewed by: Qinlong Wang
MaRDI profile type: Publication
full work available at URL: j.cnsns.2022.106840
OpenAlex ID: W4293522941
Wikidata QID: Q122966750
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DOI: 10.1016/J.CNSNS.2022.106840
description: scientific article; zbMATH DE number 7609353