Designing a Coupling That Guarantees Synchronization between Identical Chaotic Systems

Journal Article · Sun Jun 01 00:00:00 EDT 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.4189· OSTI ID:509077

Brown, R ^[1]; Rulkov, N F ^[2]

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1. Physics Department and Department of Applied Science, The College of William and Mary, Williamsburg, Virginia 23187-8795 (United States)
2. Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402 (United States)

We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronous motion. The criteria can also be used to design couplings that lead to stable synchronous motion. Analytical results from a dynamical system are presented. {copyright} {ital 1997} {ital The American Physical Society}

• DOE Contract Number: FG03-95ER14516
• OSTI ID: 509077
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING
DESIGN
EQUATIONS OF MOTION
LYAPUNOV METHOD
MOTION
NOISE
STABILITY
SYNCHRONIZATION