Projective Synchronization In Three-Dimensional Chaotic Systems

Journal Article · Wed Mar 31 23:00:00 EST 1999 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.82.3042· OSTI ID:336695

Mainieri, R; Rehacek, J ^[1]

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1. Theoretical Division and CNLS, MS B213, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

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. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 336695
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 82; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DYNAMICS
NONLINEAR PROBLEMS
PHASE SPACE
SYNCHRONIZATION