On cyclicity in discontinuous piecewise linear near-Hamiltonian differential systems with three zones having a saddle in the central one

C Pessoa, R Ribeiro, D Novaes, M Gouveia… - Nonlinear …, 2023 - Springer
We obtain lower bounds for the maximum number of limit cycles bifurcating from periodic
annuli of discontinuous planar piecewise linear Hamiltonian differential systems with three …

Crossing limit cycles bifurcating from two or three period annuli in discontinuous planar piecewise linear Hamiltonian differential systems with three zones

DC Braga, AF Fonseca, LF Mello… - … Journal of Bifurcation …, 2023 - World Scientific
The main topic studied in this article is the number of crossing limit cycles bifurcating from
two or three period annuli in discontinuous planar piecewise linear Hamiltonian differential …

Impact limit cycles in the planar piecewise linear hybrid systems

Z Li, X Liu - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
This paper aims to study impact limit cycles in the planar piecewise linear hybrid systems
formed by center type vector fields and reset maps on the impact surfaces. Motivated by …

On cyclicity in discontinuous piecewise linear near-Hamiltonian differential systems with three zones having a saddle in the central one

R Euzébio, M Gouveia, D Novaes, C Pessoa… - arXiv preprint arXiv …, 2022 - arxiv.org
In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus
of discontinuous planar piecewise linear Hamiltonian differential system with three zones …

Bifurcation of limit cycles from a periodic annulus formed by a center and two saddles in piecewise linear differential system with three zones

C Pessoa, R Ribeiro - Nonlinear Analysis: Real World Applications, 2024 - Elsevier
In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus
in discontinuous planar piecewise linear Hamiltonian differential system with three zones …