Perturbation of a period annulus with a unique two-saddle cycle in higher order Hamiltonian

DOI10.1155/2019/5813596zbMath1440.34033OpenAlexW2969462211MaRDI QIDQ2336035

Hongying Zhu, Weihua Huang, Xiaochun Hu, Su-Min Yang

Publication date: 18 November 2019

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/5813596

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)

Related Items (3)

Upper Bound on the Number of Zeros of Abelian Integrals for Hyperbolic Hamiltonian Systems of Degree Seven ⋮ Parameter identification on abelian integrals to achieve Chebyshev property ⋮ EXACT BOUND ON THE NUMBER OF LIMIT CYCLES ARISING FROM A PERIODIC ANNULUS BOUNDED BY A SYMMETRIC HETEROCLINIC LOOP

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