Limit cycle bifurcations by perturbing a kind of quadratic Hamiltonian system having a homoclinic loop
DOI10.3934/DCDSB.2024048MaRDI QIDQ6614238
Publication date: 7 October 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
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) Discontinuous ordinary differential equations (34A36) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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