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Application of adaptive methods to chaos control of networks of R¨ossler systems

Peter Guzenko, Judith Lehnert, Eckehard Schoell
We show that in delay-coupled networks of chaotic R¨ossler systems local stabilization of unstable periodic orbits and global synchronization of these orbits is simultaneously possible. Based on the well-known speed-gradient method of control theory, we derive an adaptation algorithm to tune the feedback gain and the coupling strength. Our simulations show that this algorithm finds appropriate values for achieving stabilization and synchronization in small ring networks. Even in the case of disturbance by noise the algorithm can be successfully applied.
CYBERNETICS AND PHYSICS, Vol. 2, No. 1, 2013 , 15-24.
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