BIFURCATION OF LIMIT CYCLES IN A FOURTH-ORDER NEAR-HAMILTONIAN SYSTEM

DOI10.1142/S0218127407019895zbMath1159.34029MaRDI QIDQ3533719

Pei Yu, Wang Zheng, Desheng Shang, Mao'an Han

Publication date: 23 October 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (11)

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 ⋮ On the 16th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems ⋮ ON THE NUMBER AND DISTRIBUTIONS OF LIMIT CYCLES IN A QUINTIC PLANAR VECTOR FIELD ⋮ Lower bounds for the Hilbert number of polynomial systems ⋮ A Quartic System with Twenty-Six Limit Cycles ⋮ Limit cycle bifurcations by perturbing a class of planar quintic vector fields ⋮ Bifurcations of limit cycles in a \(Z_{4}\)-equivariant quintic planar vector field ⋮ Poincaré bifurcation of limit cycles from a Liénard system with a homoclinic loop passing through a nilpotent saddle ⋮ Bifurcations in a Cubic System with a Degenerate Saddle Point ⋮ Symbolic computation for the qualitative theory of differential equations

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