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 …

The period annulus and limit cycles in a planar piecewise linear system defined in three zones separated by two parallel lines

L Xiong, Z Du - Journal of Differential Equations, 2025 - Elsevier
The existence of period annulus and limit cycles in a three-zoned planar piecewise linear
system separated by two parallel lines are investigated. Assuming that the system is …

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 …

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 …