On the number of limit cycles of a cubic near-Hamiltonian system

DOI10.3934/DCDS.2009.24.827zbMath1181.34043OpenAlexW2050947024MaRDI QIDQ1030538

Junmin Yang, Mao'an Han

Publication date: 2 July 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.24.827

zbMATH Keywords

bifurcationlimit cycleMelnikov functionhomoclinic loop16-th Hilbert's problemnear-Hamiltonian cubic system

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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Limit cycle bifurcations of some Liénard systems

This page was built for publication: On the number of limit cycles of a cubic near-Hamiltonian system