Limit cycles near a centre and a heteroclinic loop in a near-Hamiltonian differential system
DOI10.1007/s10884-022-10152-3OpenAlexW4220922898WikidataQ114225736 ScholiaQ114225736MaRDI QIDQ6195991
Jinbo Zhu, Xiang Zhang, Lijun Wei
Publication date: 14 March 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-022-10152-3
Liénard systemlimit cycleheteroclinic loopnear-Hamiltonian systemcentrethe first order Melnikov function
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) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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