The number of limit cycles for a class of quintic Hamiltonian systems under quintic perturbations

DOI10.1017/S1446788700008466zbMath1017.34028OpenAlexW2125626415MaRDI QIDQ3148257

Guowei Chen, Yongbin Wu, Xin'an Yang

Publication date: 26 November 2002

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700008466

zbMATH Keywords

bifurcationlimit cyclequintic Hamiltonian system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10)

Related Items (6)

Bifurcation of small limit cycles in \(Z_{5}\)-equivariant planar vector fields of order 5 ⋮ The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems ⋮ Analysis on bifurcations of multiple limit cycles for a parametrically and externally excited mechanical system ⋮ Bifurcation of limit cycles in a quintic Hamiltonian system under a sixth-order perturbation ⋮ ON THE CONTROL OF PARAMETERS OF DISTRIBUTIONS OF LIMIT CYCLES FOR A Z₂-EQUIVARIANT PERTURBED PLANAR HAMILTONIAN POLYNOMIAL VECTOR FIELD ⋮ Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations

Cites Work

• Unnamed Item
• Eleven small limit cycles in a cubic vector field
• On hereditarily indecomposable Banach spaces

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