The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems

DOI10.1016/j.camwa.2006.01.017zbMath1136.34040OpenAlexW2172025630MaRDI QIDQ2469905

Yanyan Li

Publication date: 11 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.01.017

zbMATH Keywords

stabilitybifurcationlimit cyclenear-Hamiltonian system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (6)

On the number of limit cycles of a \(\mathbb{Z}_4\)-equivariant quintic near-Hamiltonian system ⋮ On the Number of Limit Cycles by Perturbing a Piecewise Smooth Liénard Model ⋮ Lower bounds for the Hilbert number of polynomial systems ⋮ Bifurcations of limit cycles in a \(Z_{4}\)-equivariant planar polynomial vector field of degree 7 ⋮ A class of quadratic reversible systems with a center of genus one ⋮ BIFURCATIONS OF LIMIT CYCLES FOR A PERTURBED CUBIC SYSTEM WITH DOUBLE FIGURE EIGHT LOOP

Cites Work

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• The number of limit cycles for a class of quintic Hamiltonian systems under quintic perturbations
• On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• ON THE CONTROL OF PARAMETERS OF DISTRIBUTIONS OF LIMIT CYCLES FOR A Z₂-EQUIVARIANT PERTURBED PLANAR HAMILTONIAN POLYNOMIAL VECTOR FIELD
• Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop
• Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop

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