Second Order Melnikov Functions of Piecewise Hamiltonian Systems

DOI10.1142/S0218127420500169zbMath1436.37071MaRDI QIDQ5220449

Jiang Yu, Peixing Yang, Jean-Pierre Françoise

Publication date: 23 March 2020

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

zbMATH Keywords

bifurcationlimit cycleMelnikov functionpiecewise Hamiltonian system

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) 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) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (5)

Up to second order Melnikov functions for general piecewise Hamiltonian systems with nonregular separation line ⋮ The number of limit cycles of a kind of piecewise quadratic systems with switching curve \(y = x^m\) ⋮ Bifurcations of limit cycles in piecewise smooth Hamiltonian system with boundary perturbation ⋮ Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications ⋮ Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries

Cites Work

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