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Characterization of intermittent lag synchronization

Boccaletti1, Valladares

  • 1Department of Physics and Applied Mathematics, Universidad de Navarra, Irunlarrea s/n, 31080 Pamplona, Spain.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
Summary

This study explores intermittent lag synchronization in coupled chaotic systems. It reveals how systems transition between synchronization states, visiting periodic orbits during chaotic bursts.

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Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Complex Systems

Background:

  • Coupled chaotic oscillators exhibit complex synchronization behaviors.
  • Lag synchronization allows coupled systems to synchronize with a time delay.
  • Understanding transitions between synchronization states is crucial for complex system dynamics.

Purpose of the Study:

  • To investigate intermittent lag synchronization in nonidentical symmetrically coupled Rossler systems.
  • To analyze the transitions between different lag synchronization configurations.
  • To characterize the role of periodic orbits in these transitions.

Main Methods:

  • Numerical simulation of two nonidentical symmetrically coupled Rossler systems.
  • Analysis of intermittent bursts and jumps in lag synchronization.

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  • Identification of distinct lag configurations and their time fractions.

    • Main Results:

    • Intermittent bursts signify transitions away from lag synchronization.
    • Chaotic trajectories visit periodic orbits during jumps to new lag configurations.
    • The study quantifies transitions, providing insight into the path to perfect lag synchronization.

    Conclusions:

    • Intermittent lag synchronization is a complex transition process in coupled chaotic systems.
    • Periodic orbits play a key role in mediating transitions between lag states.
    • Characterizing these transitions offers a global view of system dynamics before achieving perfect synchronization.