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Renormalization Approach to Optimal Limiter Control in 1-D Chaotic Systems
Authors:C Wagner  R Stoop
Institution:(1) Institute of Pharmacology, University of Bern, Friedbuhlstr. 49, CH-3010 Bern, Switzerland;(2) Institute of Neuroinformatics, University/ETH Zürich, Winterthurerstr. 190, CH-8057 Zürich, Switzerland
Abstract:Optimal limiter control of chaos in 1-d systems is described by flat-topped maps. When we study the properties of this control by a bifurcation analysis of the latter, we find partial universal behavior. The optimality of the control method is expressed by an exponentially fast control onto selected periodic orbits, making targeting algorithms idle.
Keywords:universality  flat-topped map  chaos control  scaling  targetting algorithm
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