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Pulses of chaos synchronization in coupled map chains with delayed transmission

Bernhard Schmitzer and Wolfgang Kinzel

Ido Kanter

  • Institute for Theoretical Physics, University of Würzburg, 97074 Würzburg, Germany

  • Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel

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Phys. Rev. E 80, 047203 – Published 29 October, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.047203

Abstract

Pulses of synchronization in chaotic coupled map lattices are discussed in the context of transmission of information. Synchronization and desynchronization propagate along the chain with different velocities which are calculated analytically from the spectrum of convective Lyapunov exponents. Since the front of synchronization travels slower than the front of desynchronization, the maximal possible chain length for which information can be transmitted by modulating the first unit of the chain is bounded.

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Phys. Rev. E 80, 047203– Published 29 October, 2009
  • Received 17 June 2009

© 2009 American Physical Society

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