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Parametric Feedback Resonance in Chaotic Systems

Schuster, Heinz Georg and Niebur, Ernst and Hunt, E. R. and Johnson, G. A. and Löcher, M. (1996) Parametric Feedback Resonance in Chaotic Systems. Physical Review Letters, 76 (3). pp. 400-403. ISSN 0031-9007. doi:10.1103/PhysRevLett.76.400.

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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.

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Additional Information:©1996 The American Physical Society Received 11 July 1994; revised 31 August 1995; published in the issue dated 15 January 1996. This work was supported by NATO Grant No. CRG 911034, NSF Grant No. BIR 92-14238, and ONR Grant No. N0014-94-10395. We gratefully acknowledge discussions with R. W. Rollins and D. Cigna. H. G. S. thanks C. Koch for the kind hospitality extended to him during his stay at Caltech.
Group:Koch Laboratory (KLAB)
Funding AgencyGrant Number
NATOCRG 911034
NSFBIR 92-14238
U.S. Office of Naval ResearchN0014-94-10395
Issue or Number:3
Classification Code: PACS: 05.45.+b, 07.50.Ek, 47.20.-k
Record Number:CaltechAUTHORS:SCHUprl96
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3358
Deposited By: Archive Administrator
Deposited On:01 Jun 2006
Last Modified:08 Nov 2021 19:55

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