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CONTROLLED PROJECTIVE SYNCHRONIZATION IN NONPARTIALLY-LINEAR CHAOTIC SYSTEMS

Center for Advanced Numerical Engineering Simulation, School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798, Singapore

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and

ZHIGANG LI

Center for Advanced Numerical Engineering Simulation, School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798, Singapore

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https://doi.org/10.1142/S0218127402005170Cited by:69 (Source: Crossref)

Abstract

Projective synchronization (PS), in which the state vectors synchronize up to a scaling factor, is usually observable only in partially linear systems. We show that PS could, by means of control, be extended to general classes of chaotic systems with nonpartial linearity. Performance of PS may also be manipulated by controlling the scaling factor to any desired value. In numerical experiments, we illustrate the applications to a Rössler system and a Chua's circuit. The feasibility of the control for high dimensional systems is demonstrated in a hyperchaotic system.

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