Parametric Feedback Resonance in Chaotic Systems

H. G. Schuster, E. Niebur, E. R. Hunt, G. A. Johnson, M. Löcher

Research output: Contribution to journalArticle

Abstract

If one changes the control parameter of a chaotic system proportionally to the distance between an arbitrary point on the strange attractor and the actual trajectory, the lifetime τ of the most stable unstable periodic orbit in the vicinity of this point starts to diverge with a power law. The volume in parameter space where τ becomes infinite is finite and from its nonfractal boundaries one can determine directly the local Liapunov exponents. The experimental applicability of the method is demonstrated for two coupled diode resonators.

Original languageEnglish (US)
Pages (from-to)400-403
Number of pages4
JournalPhysical Review Letters
Volume76
Issue number3
DOIs
StatePublished - Jan 1 1996

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Schuster, H. G., Niebur, E., Hunt, E. R., Johnson, G. A., & Löcher, M. (1996). Parametric Feedback Resonance in Chaotic Systems. Physical Review Letters, 76(3), 400-403. https://doi.org/10.1103/PhysRevLett.76.400