Special cubic perturbations of the Duffing oscillator \(x=x-x^3\) near the eight-loop

DOI10.1007/s00009-021-01868-5OpenAlexW3199719609MaRDI QIDQ2238747

Ameni Gargouri, Bassem Ben Hamed, Lyubomir Gavrilov

Publication date: 2 November 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.00669

zbMATH Keywords

limit cyclesDuffing oscillatorMelnikov functions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) 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)

Cites Work

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