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Synchronized chaotic intermittent and spiking behavior in coupled map chains.

Grigory V Osipov1, Mikhail V Ivanchenko, Jürgen Kurths

  • 1Department of Radiophysics, Nizhny Novgorod University, 23, Gagarin Avenue, 603600 Nizhny Novgorod, Russia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

We investigated phase synchronization in nonidentical chaotic oscillators. Increased coupling led to synchronization, desynchronization, and incoherent states, revealing complex dynamics in coupled systems.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Chaos Theory

Background:

  • Phase synchronization is a key phenomenon in coupled nonlinear systems.
  • Intermittent chaotic behavior is observed in various natural and engineered systems.
  • Understanding synchronization transitions is crucial for analyzing complex network dynamics.

Purpose of the Study:

  • To investigate phase synchronization effects in a chain of nonidentical chaotic oscillators exhibiting type-I intermittent behavior.
  • To analyze the impact of different parameter distributions (linear and random) on synchronization phenomena.
  • To explore desynchronization and spatiotemporal intermittency as coupling strength increases.

Main Methods:

  • Simulation of a chain of nonidentical chaotic oscillators with type-I intermittent behavior.

Related Experiment Videos

  • Analysis of systems with linear and random parameter distributions.
  • Examination of synchronization, cluster synchronization, desynchronization, and spatiotemporal intermittency.
  • Modeling a chain of coupled maps to replicate neurobiological network spiking behavior.

    • Main Results:

    • Observed onset and existence of global and cluster synchronization with increasing coupling.
    • Identified desynchronization phenomena where synchronization transitions to intermittent incoherence.
    • Demonstrated a fully incoherent nonsynchronous state (spatiotemporal intermittency).
    • Showcased synchronization-desynchronization transitions in a system mimicking neurobiological networks.

    Conclusions:

    • Coupling strength significantly influences synchronization and desynchronization in nonidentical chaotic oscillators.
    • Parameter distribution affects the emergence and nature of synchronization patterns.
    • The study reveals complex dynamics including intermittent synchronization and spatiotemporal intermittency in coupled chaotic systems.