LIMIT CYCLES FOR A CLASS OF QUINTIC NEAR-HAMILTONIAN SYSTEMS NEAR A NILPOTENT CENTER

DOI10.1142/S0218127409023949zbMath1170.34314OpenAlexW2139245472MaRDI QIDQ3398242

Jizhou Zhang, Jiao Jiang, Mao'an Han

Publication date: 26 September 2009

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

Full work available at URL: https://doi.org/10.1142/s0218127409023949

zbMATH Keywords

limit cycleHopf bifurcationnilpotent centernear-Hamiltonian system

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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

Bifurcation of a piecewise smooth cubic system via expansion of Melnikov function ⋮ Bifurcation of limit cycles in a quintic system with ten parameters ⋮ Bi-center problem and bifurcation of limit cycles from nilpotent singular points in \(Z_{2}\)-equivariant cubic vector fields ⋮ Limit cycles in a quartic system with a third-order nilpotent singular point ⋮ HOPF BIFURCATION OF LIÉNARD SYSTEMS BY PERTURBING A NILPOTENT CENTER ⋮ BIFURCATION OF LIMIT CYCLES AT A NILPOTENT CRITICAL POINT IN A SEPTIC LYAPUNOV SYSTEM ⋮ Bifurcations in a Cubic System with a Degenerate Saddle Point

Cites Work

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• MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS

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