Synchronization with positive conditional Lyapunov exponents

Changsong Zhou; C. H. Lai

doi:10.1103/PhysRevE.58.5188

Synchronization with positive conditional Lyapunov exponents

Changsong Zhou
, C. H. Lai

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

29 Citations (Scopus)

Abstract

Synchronization of chaotic systems may occur only when the largest conditional Lyapunov exponent of the driven system is negative. The synchronization with positive conditional Lyapunov exponents reported in a recent paper [Phys. Rev. E 56, 2272 (1997)] is a combined result of the contracting region of the system and the finite precision in computer simulations.

Original language	English
Pages (from-to)	5188-5191
Number of pages	4
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	58
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.58.5188
Publication status	Published - 1 Oct 1998

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10.1103/PhysRevE.58.5188

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title = "Synchronization with positive conditional Lyapunov exponents",

abstract = "Synchronization of chaotic systems may occur only when the largest conditional Lyapunov exponent of the driven system is negative. The synchronization with positive conditional Lyapunov exponents reported in a recent paper [Phys. Rev. E 56, 2272 (1997)] is a combined result of the contracting region of the system and the finite precision in computer simulations.",

author = "Changsong Zhou and Lai, \{C. H.\}",

note = "Funding Information: This work was supported in part by research Grant No. RP960689 at the National University of Singapore. C.Z. was supported by NSTB. Publisher Copyright: {\textcopyright} 1998 American Physical Society.",

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AB - Synchronization of chaotic systems may occur only when the largest conditional Lyapunov exponent of the driven system is negative. The synchronization with positive conditional Lyapunov exponents reported in a recent paper [Phys. Rev. E 56, 2272 (1997)] is a combined result of the contracting region of the system and the finite precision in computer simulations.

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Synchronization with positive conditional Lyapunov exponents

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