Chaos-induced resonant effects and its control

Samuel Zambrano, José M. Casado, Miguel A F Sanjuán

Research output: Contribution to journalArticle

Abstract

This Letter shows that a suitable chaotic signal can induce resonant effects analogous to those observed in presence of noise in a bistable system under periodic forcing. By constructing groups of chaotic and random perturbations with similar one-time statistics we show that in some cases chaos and noise induce indistinguishable resonant effects. This reinforces the conjecture by which in some situations where noise is supposed to play a key role maybe chaos is the key ingredient. Here we also show that the presence of a chaotic signal as the perturbation leading to a resonance opens new control perspectives based on our ability to stabilize chaos in different periodic orbits. A discussion of the possible implications of these facts is also presented at the end of the Letter.

Original languageEnglish
Pages (from-to)428-432
Number of pages5
JournalPhysics Letters A
Volume366
Issue number4-5
DOIs
Publication statusPublished - Jul 2 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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