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Phys. Rev. E 63, 027201 (2001) [4 pages]

Control of projective synchronization in chaotic systems

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Daolin Xu
Department of Engineering Mechanics, School of MPE, Nanyang Technological University, Singapore 639798, Republic of Singapore

Received 5 July 2000; published 22 January 2001

We show that the scaling factor of projective synchronization in coupled partially linear systems is unpredictable. This gives rise to the difficulty in estimating the state of synchronized dynamics. We therefore propose a control method to manipulate the scaling factor onto any desired value so that the synchronization can be managed in a preferred way. A control law is derived based on the mechanism of projective synchronization of three-dimensional systems and an application is illustrated for the Lorenz system.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.027201
DOI:
10.1103/PhysRevE.63.027201
PACS:
05.45.-a