Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems

DOI10.1142/S0218127421501236OpenAlexW3185525509MaRDI QIDQ5008966

Mao'an Han, Xiao-yan Chen

Publication date: 18 August 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421501236

zbMATH Keywords

limit cycleMelnikov functionHamiltonian systemargument principlepiecewise smooth system

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) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications

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