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Projective Synchronization In Three-Dimensional Chaotic Systems

1999; American Physical Society; Volume: 82; Issue: 15 Linguagem: Inglês

10.1103/physrevlett.82.3042

1092-0145

Ronnie Mainieri, Jan Řeháček,

Complex Systems and Time Series Analysis

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.