Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve
type: Item
instance of: scholarly article
title: Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve
zbMATH Open document ID: 1486.37031
author: Huanhuan Tian
author: Maoan Han
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-06-18T00:00:00Z
review text: The authors consider limit cycles for planar piecewise smooth dynamical systems having a switching curve. One of the main goals is the construction of a first-order Melnikov function, that is used to study Hopf bifurcations when the periodic annulus has an elementary center as a boundary. Some applications are given.
Mathematics Subject Classification ID: 37J20
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 70H33
zbMATH DE Number: 7360890
zbMATH Keywords: limit cycle
zbMATH Keywords: piecewise smooth system
zbMATH Keywords: switching curve
zbMATH Keywords: Melnikov function
zbMATH Keywords: bifurcation
MaRDI profile type: Publication
full work available at URL: dcdsb.2020368
OpenAlex ID: W3112670591
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DOI: 10.3934/DCDSB.2020368
description: scientific article; zbMATH DE number 7360890