Poincaré-Pontryagin-Melnikov functions for a type of perturbed degenerate Hamiltonian equations

DOI10.1007/s12346-015-0185-5zbMath1386.34059OpenAlexW2230429297MaRDI QIDQ1707524

Salomón Rebollo-Perdomo

Publication date: 3 April 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-015-0185-5

zbMATH Keywords

limit cycleHamiltonian equationabelian integral

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (2)

Limit cycle bifurcations for a kind of Liénard system with degree seven ⋮ Limit Cycle Bifurcations Near a Heteroclinic Loop with Two Nilpotent Cusps of General Order

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