Qualitative analysis of crossing limit cycles in a class of discontinuous Liénard systems with symmetry
DOI10.1007/S12346-018-0278-ZzbMath1419.34110OpenAlexW2801702737MaRDI QIDQ2423700
Yan Wang, Zhicheng Ji, Fangfang Jiang
Publication date: 20 June 2019
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-018-0278-z
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems
- Existence and uniqueness of limit cycle in discontinuous planar differential systems
- On the existence and uniqueness of a limit cycle for a Liénard system with a discontinuity line
- Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry
- Predator-prey system with strong Allee effect in prey
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- Melnikov theory for a class of planar hybrid systems
- On the number of limit cycles in general planar piecewise linear systems of node-node types
- Piecewise linear differential systems with two real saddles
- Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
- An upper bound for the amplitude of limit cycles in Liénard systems with symmetry
- The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains
- Bifurcation analysis of reaction-diffusion Schnakenberg model
- Planar systems of piecewise linear differential equations with a line of discontinuity
- More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
- On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities
- On the uniqueness and nonexistence of limit cycles for predator prey systems
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- Some Bifurcation Analysis in a Family of Nonsmooth Liénard Systems
- Canonical Discontinuous Planar Piecewise Linear Systems
- Uniqueness of limit cycles in theoretical models of certain oscillating chemical reactions
This page was built for publication: Qualitative analysis of crossing limit cycles in a class of discontinuous Liénard systems with symmetry
