Limit cycles near an eye-figure loop in some polynomial Liénard systems
DOI10.1016/j.jmaa.2017.05.064zbMath1377.34041OpenAlexW2620673688MaRDI QIDQ2013094
M. Ezatpanah Gashti, A. Bakhshalizadeh, Rasoul Asheghi, Hamid R. Z. Zangeneh
Publication date: 3 August 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.2017.05.064
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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (3)
Cites Work
- Unnamed Item
- Bifurcation of limit cycles from a heteroclinic loop with a cusp
- Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop
- Limit cycles of some polynomial Liénard systems
- Multiple limit cycles of some strongly nonlinear Liénard-van der Pol oscillator
- Limit cycles in a Liénard system with a cusp and a nilpotent saddle of order 7
- Bifurcation of limit cycles by perturbing a class of hyper-elliptic Hamiltonian systems of degree five
- Limit cycles in generalized Liénard systems
- Limit cycles near homoclinic and heteroclinic loops
- Estimating the number of limit cycles in polynomial systems
- Limit cycle bifurcations of some Liénard systems
- Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system
- The number of small-amplitude limit cycles of Liénard equations
- Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces
- HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
This page was built for publication: Limit cycles near an eye-figure loop in some polynomial Liénard systems