FURTHER STUDIES ON LIMIT CYCLE BIFURCATIONS FOR PIECEWISE SMOOTH NEAR-HAMILTONIAN SYSTEMS WITH MULTIPLE PARAMETERS<inline-formula><tex-math id="M1">$ ^* $</tex-math></inline-formula>

DOI10.11948/20200003zbMath1455.37045OpenAlexW3003545016MaRDI QIDQ4964050

Shanshan Liu, Mao'an Han

Publication date: 24 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20200003

zbMATH Keywords

Melnikov functionlimit cycle bifurcationpiecewise Hamiltonian systems

Mathematics Subject Classification ID

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (5)

On the number of limit cycles of a class of Liénard-Rayleigh oscillators ⋮ Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications ⋮ Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop ⋮ Limit cycle bifurcations of planar piecewise differential systems with three zones ⋮ Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters

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