Detection function method and its application to a perturbed quintic Hamiltonian system

DOI10.1016/S0960-0779(00)00270-8zbMath0994.37022OpenAlexW1988475523MaRDI QIDQ5950949

Tifei Qian, Zheng-Rong Liu, Ji-Bin Li

Publication date: 2 January 2002

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00270-8

zbMATH Keywords

bifurcation of limit cyclesdetection functionsperturbed quintic Hamiltonian system

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (7)

Bifurcation of limit cycles and separatrix loops in singular Liénard systems ⋮ Bifurcations of limit cycles in a cubic system ⋮ Bifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular points ⋮ Bifurcations of limit cycles in equivariant quintic planar vector fields ⋮ BIFURCATION OF LIMIT CYCLES IN A FOURTH-ORDER NEAR-HAMILTONIAN SYSTEM ⋮ Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations ⋮ Poincaré bifurcation of a three-dimensional system

Uses Software

• Dynamics

Cites Work

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• Some cubic systems with several limit cycles
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• Generalized Hopf bifurcations and applications to planar quadratic systems
• BIFURCATION SETS AND DISTRIBUTIONS OF LIMIT CYCLES IN A HAMILTONIAN SYSTEM APPROACHING THE PRINCIPAL DEFORMATION OF A Z₄-FIELD

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