Mechanism for chaos in the duffing equation |
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| Authors: | JN Elgin D Forster Sarben Sarker |
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| Institution: | Imperial College, London SW7 2BZ, UK;Theoretical Physics Section, Royal Signals and Radar Establishment, Great Malvern, Worcestershire WR14 3PS, UK |
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| Abstract: | It is shown that period-doubling bifurcation in the Duffing equation arise from parametric instability. Our mechanism requires this to be preceded by generation of zero- and second-harmonic modes by parametric instability. Numerical calculations are presented which confirm the analytic findings. |
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