Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop

DOI10.1016/j.jco.2003.11.005zbMath1396.34017OpenAlexW2080460521MaRDI QIDQ5898796

Hong Zang, Wencheng Chen, Tonghua Zhang

Publication date: 30 April 2007

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2003.11.005

zbMATH Keywords

limit cycleHopf bifurcationhomoclinic bifurcationheteroclinic bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Periodic orbits of vector fields and flows (37C27)

Related Items (13)

The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems ⋮ Hopf Bifurcation of Z2-Equivariant Generalized Liénard Systems ⋮ Limit cycles for the kukles system ⋮ The perturbation of a class of hyper-elliptic Hamilton system with a double eight figure loop ⋮ On the zeros of the Abelian integrals for a class of Liénard systems ⋮ Bifurcations and distribution of limit cycles for near-Hamiltonian polynomial systems ⋮ The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems ⋮ Linear estimate of the number of limit cycles for a class of nonlinear systems ⋮ Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop ⋮ Bifurcations of limit cycles in a cubic system with cubic perturbations ⋮ Perturbation from an asymmetric cubic Hamiltonian ⋮ BIFURCATIONS OF LIMIT CYCLES FOR A PERTURBED CUBIC SYSTEM WITH DOUBLE FIGURE EIGHT LOOP ⋮ The number of limit cycles for a family of polynomial systems

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