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arXiv · 1907.00669

Special cubic perturbations of the Duffing oscillator $x"=x-x^3$ near the eight-loop

Lubomir Gavrilov·Ameni Gargouri·Bassem Ben Hamed
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Abstract

We find an upper bound for the number of limit cycles, bifurcating from the 8-loop of the Duffing oscillator $x"= x-x^{3}$ under the special cubic perturbation $$ x"= x-x^{3}+λ_{1}y+λ_{2}x^{2}+λ_{3}xy+λ_{4}x^{2}y . $$

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Lubomir Gavrilov, Ameni Gargouri, Bassem Ben Hamed. 2020-03-24. Special cubic perturbations of the Duffing oscillator $x"=x-x^3$ near the eight-loop. https://arxiv.org/abs/1907.00669

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