The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems
Castillo, Juan (Universidad de Sonora (Mèxic). Departamento de Matemáticas)
Verduzco, Fernando (Universidad de Sonora (Mèxic). Departamento de Matemáticas)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2017
Abstract:	The creation or destruction of a crossing limit cycle when a sliding segment changes its stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we find an unfolding for such bifurcation, and we prove the existence and uniqueness of a crossing limit cycle for this family.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 318999 Ministerio de Economía y Competitividad MTM2013-40998-P Ministerio de Economía y Competitividad MTM2016-77278-P
Note:	Agraïments: The first author wishes to thank CONACyT for the support on the PhD Scholarship Number 320218. The last author was supported by CONACyT Grant Number 180266.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Discontinuous piecewise linear differential system ; Pseudo-Hopf bifurcation ; Sliding segment ; Unfolding
Published in:	Nonlinear dynamics, Vol. 90 (2017) , p. 1829-1840, ISSN 0924-090X

DOI: 10.1007/s11071-017-3766-9

Postprint 16 p, 3.3 MB

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