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arxiv 1108.4118 v1 pith:BLB7DH32 submitted 2011-08-20 nlin.CD

Switching chaos on/off in Duffing oscillator

classification nlin.CD
keywords behaviorchaoticduffingforcingoscillatorstrategyworkaddition
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Periodic forcing of nonlinear oscillators generates a rich and complex variety of behaviors, ranging from regular to chaotic behavior. In this work we seek to control, i.e., either suppress or generate, the chaotic behavior of a classical reference example in books or introductory articles, the Duffing oscillator. For this purpose, we propose an elegant strategy consisting of simply adjusting the shape of the time-dependent forcing. The efficiency of the proposed strategy is shown analytically, numerically and experimentally. In addition due to its simplicity and low cost such a work could easily be turned into an excellent teaching tool.

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