Study on limit cycles near homoclinic loops and heteroclinic loops with hyperbolic saddles

DOI10.1016/j.jde.2024.11.055MaRDI QIDQ6671675

Changjian Liu, Yanqin Xiong, Hongwei Shi

Publication date: 27 January 2025

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Liénard systemMelnikov functionhomoclinic loopheteroclinic looplimit cycle bifurcationnear-Hamiltonian system

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

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