Robert Mettin: abstract OPC

Optimized periodic control of chaotic systems

R. Mettin

Institut für Angewandte Physik, Technische Hochschule Darmstadt,
Schloßgartenstraße 7, D-64289 Darmstadt, Germany

T. Kurz

Drittes Physikalisches Institut, Universität Göttingen,
Bürgerstraße 42-44, D-37073 Göttingen, Germany


Abstract

We demonstrate the open-loop control of chaotic systems by means of optimized periodic signals. The use of such signals enables us to eliminate chaotic motion with significantly reduced control power compared to simple harmonic perturbations. It is found that the stabilized periodic dynamics can be changed by small, specific alterations of the control signal. Thus, low power switching between different periodic states can be achieved without feedback. The performance of the proposed control method in the presence of noise is discussed.


Phys. Lett. A 206, 331-339 (1995).


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