Projective Synchronization In Three-Dimensional Chaotic Systems

Ronnie Mainieri and Jan Rehacek
Phys. Rev. Lett. 82, 3042 – Published 12 April 1999
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Abstract

In partially linear systems, such as the Lorenz model, chaotic synchronization is possible in only some of the variables. We show that, for the nonsynchronizing variable, synchronization up to a scale factor is possible. We explain the mechanism for this projective form of chaotic synchronization in three-dimensional systems. Projective synchronization is illustrated for the Lorenz and disk dynamo systems. We also introduce a vector field that can be used to predict the scaling factor.

  • Received 9 July 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.3042

©1999 American Physical Society

Authors & Affiliations

Ronnie Mainieri and Jan Rehacek

  • Theoretical Division and CNLS, MS B213, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

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Issue

Vol. 82, Iss. 15 — 12 April 1999

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