BIFURCATIONS OF LIMIT CYCLES FROM A QUINTIC HAMILTONIAN SYSTEM WITH A FIGURE DOUBLE-FISH

DOI10.1142/S0218127413501162zbMath1275.34049MaRDI QIDQ2864939

Minghui Qi, Lincheng Zhao

Publication date: 27 November 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Picard-Fuchs equationabelian integralperiod annulushyper-elliptic Hamiltonian system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (3)

Sharp bound of the number of zeros for a Liénard system with a heteroclinic loop ⋮ Cyclicity of period annulus for a class of quadratic reversible systems with a nonrational first integral ⋮ Bifurcation of limit cycles from a Liénard system with a heteroclinic loop connecting two nilpotent saddles

Cites Work

• On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle
• On the zeros of the Abelian integrals for a class of Liénard systems
• Limit cycles near homoclinic and heteroclinic loops
• Bifurcations of limit cycles for a quintic Hamiltonian system with a double cuspidal loop
• The monotonicity of the period function for planar Hamiltonian vector fields
• 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
• 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
• Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles

This page was built for publication: BIFURCATIONS OF LIMIT CYCLES FROM A QUINTIC HAMILTONIAN SYSTEM WITH A FIGURE DOUBLE-FISH