Limit Cycle Bifurcations Near a Heteroclinic Loop with Two Nilpotent Cusps of General Order

DOI10.1142/S0218127422500833zbMath1505.34049OpenAlexW4281907604MaRDI QIDQ5083102

Xing Hu, Junmin Yang

Publication date: 21 June 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127422500833

zbMATH Keywords

bifurcationlimit cycleMelnikov functionnilpotent cusp

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) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Bifurcation of limit cycles near a heteroclinic loop with nilpotent cusps

Cites Work

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