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Synchronization threshold of a coupled n-dimensional time-delay system

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  • Poria, Swarup
  • Poria, Anindita Tarai
  • Chatterjee, Prasanta

Abstract

The synchronization threshold in the general form of one way time-delay system is discussed. The synchronization threshold of coupled time-delay chaotic systems can be estimated by two different analytical approaches. One of them is based on the Krasovskii–Lyapunov theory that represents an extension of the second Lyapunov method for delay differential equations. Another approach uses a perturbation theory of large delay time. Based on the Krasovskii–Lyapunov theory, the deduction process and the application range of the synchronization threshold are given.

Suggested Citation

  • Poria, Swarup & Poria, Anindita Tarai & Chatterjee, Prasanta, 2009. "Synchronization threshold of a coupled n-dimensional time-delay system," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1123-1124.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1123-1124
    DOI: 10.1016/j.chaos.2008.04.045
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