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. http://resolver.caltech.edu/CaltechAUTHORS:SCHUprl96
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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.
|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|
|Classification Code:||PACS: 05.45.+b, 07.50.Ek, 47.20.-k|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||01 Jun 2006|
|Last Modified:||11 Nov 2013 21:58|
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