Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones

R Euzebio, R Pazim, E Ponce - Physica D: Nonlinear Phenomena, 2016 - Elsevier
We consider continuous piecewise-linear differential systems with three zones where the
central one is degenerate, that is, the determinant of its linear part vanishes. By moving one …

Limit cycles bifurcating from a period annulus in continuous piecewise linear differential systems with three zones

MFS Lima, C Pessoa, WF Pereira - International Journal of …, 2017 - World Scientific
We study a class of planar continuous piecewise linear vector fields with three zones. Using
the Poincaré map and some techniques for proving the existence of limit cycles for smooth …

Existence and Number of Figure-Eight Loops in Planar Sector-Wise Linear Systems with Saddle–Saddle Dynamics

XJ Liu, SM Huan - International Journal of Bifurcation and Chaos, 2023 - World Scientific
In this paper, we investigate the existence of one type of homoclinic double loops (ie figure-
eight loops) in a family of planar sector-wise linear systems with saddle–saddle dynamics …

Existence of Four-Intersection-Point Limit Cycles with Only Saddles Separated by Two Parallel Straight Lines in Planar Piecewise Linear Systems

XJ Liu, XS Yang - International Journal of Bifurcation and Chaos, 2023 - World Scientific
In this paper, we study a family of planar piecewise linear systems with saddles separated
by two parallel lines, and mainly investigate the existence of four-intersection-point limit …

About Limit Cycles in Continuous Piecewise Linear Differential Systems

MFS Lima, C Pessoa, W Pereira - Proceeding Series of …, 2017 - proceedings.sbmac.org.br
Resumo In 2012, Lima and Llibre in [3] have studied a class of planar continuous piecewise
linear vector fields with three zones. This class can be separated in four other classes and …

[PDF][PDF] Órbitas periódicas em sistemas diferenciais suaves por partes

C Júnior, R Pazim - 2016 - repositorio.unesp.br
Este trabalho está relacionado ao estudo de bifurcações e órbitas periódicas de sistemas
diferenciais suaves por partes planares em duas e três zonas. Em sistemas com duas …

Limit cycles bifurcating from a period annulus in continuous piecewise differential systems with three zones

MFS Lima, C Pessoa, WF Pereira - arXiv preprint arXiv:1511.07200, 2015 - arxiv.org
We study a class of planar continuous piecewise linear vector fields with three zones. Using
the Poincar\'e map and some techniques for proving the existence of limit cycles for smooth …

[引用][C] Two limit cycles in continuous piecewise linear differential systems with three zones

C Pessoa, WF Pereira, MFS Lima