Linear estimate of the number of limit cycles for a class of nonlinear systems

DOI10.1016/j.chaos.2005.10.029zbMath1147.34318OpenAlexW2072246959MaRDI QIDQ2482575

Moses O. Tadé, Tonghua Zhang, Yu-Chu Tian

Publication date: 17 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.10.029

zbMATH Keywords

perturbationlimit cyclenonlinear dynamical systemlinear estimate

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (5)

ON THE NUMBER OF ZEROS OF THE ABELIAN INTEGRALS FOR A CLASS OF PERTURBED LIÉNARD SYSTEMS ⋮ Kepler's equation and limit cycles in a class of PWM feedback control systems ⋮ Zeros of Abelian integrals for a quartic Hamiltonian with figure-of-eight loop through a nilpotent saddle ⋮ The cyclicity of period annuli of a class of quintic Hamiltonian systems ⋮ The cyclicity of period annuli for a class of cubic Hamiltonian systems with nilpotent singular points

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