Special Cubic Perturbations of the Duffing Oscillator $$x''=x-x^3$$ Near the Eight-Loop
نویسندگان
چکیده
We find an upper bound for the number of limit cycles, bifurcating from eight-loop Duffing oscillator $$x''= x-x^{3}$$ under special cubic perturbation $$\begin{aligned} x''= x-x^{3}+\lambda _{1}y+\lambda _{2}x^{2}+\lambda _{3}xy+\lambda _{4}x^{2}y. \end{aligned}$$
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2021
ISSN: ['1660-5454', '1660-5446']
DOI: https://doi.org/10.1007/s00009-021-01868-5