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Controlling Chaos through parametric excitations

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Dynamics and Stochastic Processes Theory and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 355))

Abstract

As in many physical and non physical systems chaos can have harmful consequences, the possibility is discussed of reducing or suppressing it without radically modifying the system.

An heuristic reasoning is proposed, then it is shown on a Duffing-Holmes oscillator, that a resonant effect can kill chaos when parametric perturbations are introduced with suitable frequencies.

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Authors

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Ricardo Lima Ludwig Streit Rui Vilela Mendes

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© 1990 Springer-Verlag

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Pettini, M. (1990). Controlling Chaos through parametric excitations. In: Lima, R., Streit, L., Vilela Mendes, R. (eds) Dynamics and Stochastic Processes Theory and Applications. Lecture Notes in Physics, vol 355. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52347-2_34

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  • DOI: https://doi.org/10.1007/3-540-52347-2_34

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52347-5

  • Online ISBN: 978-3-540-46969-8

  • eBook Packages: Springer Book Archive

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