Bifurcations of limit cycles in a class of hyper-elliptic Liénard systems
DOI10.1080/14689360902852539zbMath1189.34067OpenAlexW2086081290MaRDI QIDQ3652769
Hamid R. Z. Zangeneh, Rasoul Asheghi
Publication date: 16 December 2009
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689360902852539
Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)
Cites Work
- On the zeros of the Abelian integrals for a class of Liénard systems
- Perturbation from an elliptic Hamiltonian of degree four. III: global centre.
- Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop.
- A criterion for determining the monotonicity of the ratio of two Abelian integrals
- Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop. II
- Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop
- Cubic Lienard equations with linear damping
- Bifurcations of cuspidal loops
- On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations
- On the Number of Limit Cycles in Perturbations of Quadratic Hamiltonian Systems
- Remarks on 16th weak Hilbert problem forn 2*
- Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop
- Cubic Liénard equations with quadratic damping having two antisaddles
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