Bifurcation of Limit Cycles in a 12-Degree Hamiltonian System Under Thirteenth-Order Perturbation

DOI10.1142/S0218127418500116zbMath1388.34032OpenAlexW2791184390WikidataQ130170798 ScholiaQ130170798MaRDI QIDQ4608886

Wentao Jiang, Jian-ping Shi

Publication date: 29 March 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418500116

zbMATH Keywords

detection functionbifurcation of limit cyclesperturbed Hamiltonian systemheteroclinic loops\(Z_{13}\)-equivariant planar vector field

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) 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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