Elsevier

Physics Letters A

Volume 94, Issue 5, 14 March 1983, Pages 195-197
Physics Letters A

Mechanism for chaos in the duffing equation

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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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