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Isochronous synchronization in mutually coupled chaotic circuits.

Alexandre Wagemakers1, Javier M Buldú, Miguel A F Sanjuán

  • 1Nonlinear Dynamics and Chaos Group, Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.

Chaos (Woodbury, N.Y.)
|July 7, 2007
PubMed
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This study shows that coupled chaotic circuits can achieve perfect synchronization, even with delays. A central relay system can facilitate this synchronization without needing to match the outer systems.

Area of Science:

  • Nonlinear dynamics
  • Chaos theory
  • Complex systems

Background:

  • Isochronous synchronization is crucial for coupled systems.
  • Understanding synchronization robustness in chaotic systems with delays is challenging.

Purpose of the Study:

  • To investigate the robustness of isochronous synchronization in bidirectionally coupled chaotic systems.
  • To analyze the effect of coupling delay on synchronization.
  • To explore the role of a relay system in achieving synchronization.

Main Methods:

  • Analysis of achronal synchronization in two mutually chaotic circuits coupled with delay.
  • Introduction of a third chaotic circuit as a relay.
  • Experimental validation of the relay system's effectiveness.

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Main Results:

  • Isochronous synchronization is achieved in the outer dynamical systems despite coupling delays.
  • The central relaying system does not need to be of the same type as the outer systems.
  • Experimental evidence confirms the feasibility of this synchronization method.

Conclusions:

  • Isochronous synchronization is robust in simple arrays of bidirectionally coupled chaotic systems, even with delays.
  • Relay systems offer a flexible approach to achieving synchronization in complex networks.
  • This research provides experimental validation for theoretical models of chaotic synchronization.