Limit Cycle Bifurcations Near a Piecewise Smooth Generalized Homoclinic Loop with a Saddle-Fold Point

DOI10.1142/S0218127417500717zbMath1367.34050OpenAlexW2622367438MaRDI QIDQ4976143

Feng Liang, Dechang Wang

Publication date: 27 July 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127417500717

zbMATH Keywords

limit cycleMelnikov methodgeneralized homoclinic looppiecewise Hamiltonian systemsaddle-fold point

Mathematics Subject Classification ID

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) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Bifurcation diagrams of global connections in Filippov systems ⋮ Bifurcation Analysis in a Class of Piecewise Nonlinear Systems with a Nonsmooth Heteroclinic Loop

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