Special Cubic Perturbations of the Duffing Oscillator x”=x-x^3 Near the Eight-Loop
arxiv（2021）
摘要
We find an upper bound for the number of limit cycles, bifurcating from the eight-loop of the Duffing oscillator x”= x-x^3 under the special cubic perturbation x”= x-x^3+λ _1y+λ _2x^2+λ _3xy+λ _4x^2y.
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关键词
Limit cycles,Duffing oscillator,Melnikov functions
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