On the Number of Limit Cycles by Perturbing a Piecewise Smooth Liénard Model

DOI10.1142/S0218127416501686zbMath1352.34045OpenAlexW2522606122MaRDI QIDQ2953735

Lijuan Sheng, Valery G. Romanovski, Mao'an Han

Publication date: 6 January 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127416501686

zbMATH Keywords

polynomial systemMelnikov functionpiecewise smoothPoincaré bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items (6)

Bifurcations of small limit cycles in Liénard systems with cubic restoring terms ⋮ Bifurcation of Nonhyperbolic Limit Cycles in Piecewise Smooth Planar Systems with Finitely Many Zones ⋮ Nilpotent center conditions in cubic switching polynomial Liénard systems by higher-order analysis ⋮ Bifurcation of Periodic Orbits Crossing Switching Manifolds Multiple Times in Planar Piecewise Smooth Systems ⋮ Limit Cycles of Planar Piecewise Smooth Quadratic Systems with Focus-Parabolic Type Critical Points ⋮ Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method

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