Special cubic perturbations of the Duffing oscillator $x"=x-x^3$ near the eight-loop
DOI10.1007/S00009-021-01868-5zbMath1523.37062arXiv1907.00669MaRDI QIDQ6321330
Lyubomir Gavrilov, Ameni Gargouri, Bassem Ben Hamed
Publication date: 1 July 2019
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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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)
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