The number of limit cycles of cubic Hamiltonian system with perturbation

DOI10.1016/j.nonrwa.2006.02.002zbMath1117.34037OpenAlexW2029728292MaRDI QIDQ867942

Chengqiang Wu, Yong-Hui Xia

Publication date: 19 February 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.02.002

zbMATH Keywords

stabilitylimit cycleperturbed systemHamiltonian system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (4)

On the number of limit cycles of a cubic polynomials Hamiltonian system under quintic perturbation ⋮ The number of limit cycles of a quintic polynomial system with center ⋮ Investigation of relation between singular points and number of limit cycles for a rotor-ambs system ⋮ Thirteen limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms

Cites Work

• Higher order bifurcations of limit cycles
• Number of location of limit cycles in a class of perturbed polynomial systems
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The number of limit cycles of cubic Hamiltonian system with perturbation