Piecewise linear differential system with a center-saddle type singularity

DOI10.1016/j.jmaa.2017.10.043zbMath1380.34048OpenAlexW2766061586MaRDI QIDQ1684724

Changwu Zou, Jiazhong Yang

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.043

zbMATH Keywords

limit cyclepiecewise linear

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (9)

Global dynamics of a piecewise smooth system with a fold-cusp and general parameters ⋮ On piecewise linear differential systems with \(n\) limit cycles of arbitrary multiplicities in two zones ⋮ Bifurcations of limit cycles in piecewise smooth Hamiltonian system with boundary perturbation ⋮ Realization of Arbitrary Configuration of Limit Cycles of Piecewise Linear Systems ⋮ Bifurcation of a Kind of 1D Piecewise Differential Equation and Its Application to Piecewise Planar Polynomial Systems ⋮ Bifurcation of a Kind of Piecewise Smooth Generalized Abel Equation via First and Second Order Analyses ⋮ Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve ⋮ Limit cycles in two kinds of quadratic reversible systems with non-smooth perturbations ⋮ Limit cycle bifurcations from a quadratic center with two switching lines

Cites Work

• Maximum number of limit cycles for certain piecewise linear dynamical systems
• Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
• On the number of limit cycles in general planar piecewise linear systems
• The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
• On Hopf bifurcation in non-smooth planar systems
• Existence of piecewise linear differential systems with exactly \(n\) limit cycles for all \(n\in \mathbb N\)
• Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
• Birth of limit cycles bifurcating from a nonsmooth center
• More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
• PIECEWISE LINEAR FEEDBACK SYSTEMS WITH ARBITRARY NUMBER OF LIMIT CYCLES
• One-Parameter Bifurcations in Planar Filippov Systems
• A Simple Solution to the Braga–Mello Conjecture
• Canonical Discontinuous Planar Piecewise Linear Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Piecewise linear differential system with a center-saddle type singularity