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Control of chaos in nonautonomous systems with quasiperiodic excitation
Authors:A. Yu. Zhalnin
Affiliation:(1) Institute of Radio Engineering and Electronics, Russian Academy of Sciences (Saratov Branch), Saratov
Abstract:A procedure is suggested for controlling chaos in quasiperiodically excited systems by stabilizing an unstable torus, or creating a new one by means of a small action. For this purpose the controlled system is synchronized with one which is similar but in a state of stable quasiperiodic motion. The method is illustrated for a quasiperiodically perturbed logistic mapping and a Duffing oscillator. Pis’ma Zh. Tekh. Fiz. 25, 63–70 (August 26, 1999)
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