Schuster, H. G. and Niebur, E. 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 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.|
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