BIFURCATION SETS AND DISTRIBUTIONS OF LIMIT CYCLES IN A HAMILTONIAN SYSTEM APPROACHING THE PRINCIPAL DEFORMATION OF A Z4-FIELD

DOI10.1142/S0218127495000594zbMath0885.58066OpenAlexW1984092501MaRDI QIDQ4374618

Bambi Hu, Zheng-Rong Liu, Ji-Bin Li

Publication date: 26 April 1998

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

Full work available at URL: https://doi.org/10.1142/s0218127495000594

zbMATH Keywords

limit cyclesphase portraitsHamiltonian systembifurcation sets

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

THE SAME DISTRIBUTION OF LIMIT CYCLES IN FIVE PERTURBED CUBIC HAMILTONIAN SYSTEMS ⋮ Bifurcations of limit cycles in a \(Z_{4}\)-equivariant planar polynomial vector field of degree 7 ⋮ Bifurcation set and distribution of limit cycles for a class of seven-order Hamiltonian system with fifteen-order perturbed terms ⋮ Detection function method and its application to a perturbed quintic Hamiltonian system ⋮ Thirteen limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms ⋮ Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms

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