Global analysis of a Liénard system with quadratic damping
From MaRDI portal
Publication:1726959
DOI10.1155/2018/1249620zbMath1417.34070OpenAlexW2889027666MaRDI QIDQ1726959
Publication date: 20 February 2019
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/1249620
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A proof of Wang-Kooij's conjectures for a cubic Liénard system with a cusp
- On the existence and uniqueness of a limit cycle for a Liénard system with a discontinuity line
- Weierstrass integrability in Liénard differential systems
- Uniqueness of limit cycles for Liénard differential equations of degree four
- Non-existence of periodic solutions of the Liénard system
- Liénard and Riccati differential equations related via Lie algebras
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Quadratic Liénard equations with quadratic damping
- Variational approach to second--order damped Hamiltonian systems with impulsive effects
- Dynamical analysis of a cubic Liénard system with global parameters (II)
- Dynamical analysis of a cubic Liénard system with global parameters
- Cubic Lienard equations with linear damping
- On the local analytic integrability at the singular point of a class of Liénard analytic differential systems
- On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities
- Small-amplitude limit cycles of certain Liénard systems
- On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations
- Limit Cycles in a Cubic System with a Cusp
- Centers: their integrability and relations with the divergence
- Generalized normal sectors and orbits in exceptional directions
- Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
This page was built for publication: Global analysis of a Liénard system with quadratic damping