Generalized synchronization of chaos: The auxiliary system approach

Journal Article · Wed May 01 00:00:00 EDT 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.4528· OSTI ID:286133

Abarbanel, H D; Rulkov, N F; Sushchik, M M ^[1]

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1. Department of Physics and Marine Physical Laboratory, Scripps Institution of Oceanography, University of California, San Diego, La Jolla, California 92093-0402 (United States)

Synchronization of chaotic oscillators in a generalized sense leads to richer behavior than identical chaotic oscillations in coupled systems. It may imply a more complicated connection between the synchronized trajectories in the state spaces of coupled systems. We suggest a method here that can be used to detect and study generalized synchronization in drive-response systems. This technique, {ital the} {ital auxiliary} {ital system} {ital method}, utilizes a second, identical response system to monitor the synchronized motions. The method can be implemented both numerically and experimentally and in some cases it leads to analytical results for generalized synchronization. {copyright} {ital 1996 The American Physical Society.}

• DOE Contract Number: FG03-95ER14516; FG03-90ER14148
• OSTI ID: 286133
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 53, Issue 5; Other Information: PBD: May 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
NONLINEAR PROBLEMS
SYNCHRONIZATION
DETECTION
OSCILLATORS
COUPLING
CHAOTIC SYSTEMS