Bifurcations and distribution of limit cycles for near-Hamiltonian polynomial systems

DOI10.1016/j.jmaa.2008.06.043zbMath1158.34023OpenAlexW1994104625MaRDI QIDQ947543

Tonghua Zhang, Zheng Wang, Hong Zang

Publication date: 6 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.043

zbMATH Keywords

perturbationlimit cyclesbifurcationsHamiltonian systemMelnikov functions

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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx)

Related Items (3)

Limit cycle bifurcations by perturbing a compound loop with a cusp and a nilpotent saddle ⋮ Bifurcations of limit cycles in complex networks of Hamiltonian systems and Lloyd's conjecture ⋮ Localized pulsating solutions of the generalized complex cubic-quintic Ginzburg-Landau equation

Cites Work

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