Saddle-node of limit cycles in planar piecewise linear systems and applications
type: Item
instance of: scholarly article
title: Saddle-node of limit cycles in planar piecewise linear systems and applications
zbMATH Open document ID: 1426.34047
author: V. Carmona
author: S. Fernández-García
author: A. E. Teruel
published in: Discrete and Continuous Dynamical Systems
publication date: 2019-06-28T00:00:00Z
review text: In this paper, the bifurcation of a Lipschitz continuous piecewise linear system, which has three linear zones separated by two parallel lines and a linear center in the middle zone, is well investigated. By a careful computation of the Poincaré map, it is shown that the number of limit cycles bifurcating from the periodic orbit changes from two to zero as the parameter varies. Moreover, such result can be applied to a piecewise linear version of the FitzHugh-Nagumo neuron model of spike generation and an electronic circuit, the memristor oscillator.
reviewed by: Hao Wu
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34A36
zbMATH DE Number: 7074662
zbMATH Keywords: piecewise linear systems
zbMATH Keywords: bifurcations
zbMATH Keywords: saddle-node of limit cycles
zbMATH Keywords: neuroscience
MaRDI profile type: Publication
full work available at URL: dcds.2019215
OpenAlex ID: W2947570794
Wikidata QID: Q127744520
DOI: 10.3934/DCDS.2019215
description: scientific article; zbMATH DE number 7074662