Multiple limit cycles of some strongly nonlinear Liénard-van der Pol oscillator

DOI10.1016/j.amc.2015.08.049zbMath1410.34098OpenAlexW1419133603MaRDI QIDQ670820

Xian Bo Sun

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.049

zbMATH Keywords

limit cyclecuspidal loopMelnikov functionhomoclinic loop

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Poincaré Bifurcation of Some Nonlinear Oscillator of Generalized Liénard Type Using Symbolic Computation Method, Limit cycles of a class of Liénard systems with restoring forces of seventh degree, Limit cycles near an eye-figure loop in some polynomial Liénard systems, ON THE NUMBER OF LIMIT CYCLES FOR A QUINTIC LIÉNARD SYSTEM UNDER POLYNOMIAL PERTURBATIONS

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