Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points
Fernandes da Fonseca, Alexander (Universidade Federal de Itajubá. Instituto de Matemática e Computação (Brazil))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mello, Luis Fernando (Universidade Federal de Itajubá. Instituto de Matemática e Computação (Brazil))

Date:	2020
Abstract:	We study the existence of limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. In this scenario, we have shown that such systems have at most one crossing limit cycle.
Grants:	Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Piecewise smooth vector field ; Limit cycle ; Hamiltonian vector field
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 11 (September 2020) , art. 2050157, ISSN 1793-6551

DOI: 10.1142/S0218127420501576

Postprint 16 p, 319.9 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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