On the existence and uniqueness of a limit cycle for a Liénard system with a discontinuity line
From MaRDI portal
Publication:334529
DOI10.3934/CPAA.2016047zbMath1356.34024OpenAlexW2531066951MaRDI QIDQ334529
Fangfang Jiang, Junping Shi, Jitao Sun, Qing-Guo Wang
Publication date: 1 November 2016
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2016047
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)
Related Items (5)
Qualitative analysis of crossing limit cycles in a class of discontinuous Liénard systems with symmetry ⋮ Periodic solutions of discontinuous Duffing equations ⋮ Global analysis of a Liénard system with quadratic damping ⋮ Periodic solutions of discontinuous damped Duffing equations ⋮ Robust limit cycle control in a class of nonlinear discrete-time systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and uniqueness of limit cycle in discontinuous planar differential systems
- Existence and uniqueness of traveling wave for accelerated Frenkel-Kontorova model
- Predator-prey system with strong Allee effect in prey
- Uniqueness of limit cycles for Liénard differential equations of degree four
- Bifurcation of periodic orbits in a class of planar Filippov systems
- Bifurcations of limit cycles in a reversible quadratic system with a center, a saddle and two nodes
- 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
- Global stability and repulsion in autonomous Kolmogorov systems
- On the number of limit cycles near a homoclinic loop with a nilpotent singular point
- On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
- Bifurcation analysis of reaction-diffusion Schnakenberg model
- On the Number of Limit Cycles for Discontinuous Generalized Liénard Polynomial Differential Systems
- On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities
- Proof of the uniqueness theorem of limit cycles of generalized liénard equations
- On the uniqueness and nonexistence of limit cycles for predator prey systems
- On the uniqueness of limit cycles in discontinuous Liénard-type systems
- Canonical Discontinuous Planar Piecewise Linear Systems
- Higher order averaging theory for finding periodic solutions via Brouwer degree
- Uniqueness of limit cycles in theoretical models of certain oscillating chemical reactions
This page was built for publication: On the existence and uniqueness of a limit cycle for a Liénard system with a discontinuity line