Bifurcation of Limit Cycles for Some Liénard Systems with a Nilpotent Singular Point
From MaRDI portal
Publication:5501647
DOI10.1142/S0218127415500662zbMath1317.34079OpenAlexW2215439409MaRDI QIDQ5501647
Publication date: 5 August 2015
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127415500662
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)
Related Items (4)
Limit cycle bifurcations in a kind of perturbed Liénard system ⋮ LIMIT CYCLE BIFURCATIONS OF A KIND OF LIÉNARD SYSTEM WITH A HYPOBOLIC SADDLE AND A NILPOTENT CUSP ⋮ Limit cycles of a class of Liénard systems with restoring forces of seventh degree ⋮ ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS
Cites Work
- Computation of expansion coefficients of Melnikov functions near a nilpotent center
- Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop
- Melnikov function and limit cycle bifurcation from a nilpotent center
- On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems
- Limit cycles in generalized Liénard systems
- Global wellposedness and limit behavior for the generalized finite-depth-fluid equation with small data in critical Besov spaces \(\dot B^s_{2,1}\)
- Limit cycles near homoclinic and heteroclinic loops
- Bifurcations on a five-parameter family of planar vector field
- Estimating the number of limit cycles in polynomial systems
- Petrov modules and zeros of abelian integrals
- On Hopf cyclicity of planar systems
- Abelian integrals for cubic vector fields
- Symmetry in planar dynamical systems
- Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop.
- Limit cycle bifurcations of some Liénard systems
- The number of small-amplitude limit cycles of Liénard equations
- On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
- Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces
- HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
- LIMIT CYCLE BIFURCATIONS IN NEAR-HAMILTONIAN SYSTEMS BY PERTURBING A NILPOTENT CENTER
- Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop
This page was built for publication: Bifurcation of Limit Cycles for Some Liénard Systems with a Nilpotent Singular Point
