Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term.

DOI10.1016/S0960-0779(02)00049-8zbMath1056.34046OpenAlexW2030952470MaRDI QIDQ1419074

Xiaochun Hong, Min-Ying Tang

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00049-8

zbMATH Keywords

limit cycleperturbed cubic Hamiltonian system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (12)

On the number of limit cycles of a cubic polynomials Hamiltonian system under quintic perturbation ⋮ On the bifurcations of a Hamiltonian having three homoclinic loops under \(\mathbb Z_{3}\) invariant quintic perturbations ⋮ A NOTE ON A PIECEWISE-LINEAR DUFFING-TYPE SYSTEM ⋮ The same distribution of limit cycles in a Hamiltonian system with nine seven-order perturbed terms ⋮ Novel frequency-domain criterion for elimination of limit cycles in a class of digital filters with single saturation nonlinearity ⋮ Suppression of limit cycles in second-order companion form digital filters with saturation arithmetic ⋮ Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms ⋮ On some open problems in planar differential systems and Hilbert's 16th problem ⋮ Bifurcation of limit cycles near polycycles with \(n\) vertices ⋮ On the study of limit cycles of a cubic polynomial system under \(\mathbb Z_{4}\)-equivariant quintic perturba\-tion ⋮ Thirteen limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms ⋮ On the limit cycles of a Hamiltonian under \(Z_4\)-equivariant quintic perturbation

Cites Work

• Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system
• Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2 DOS Diskette.
• Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term.