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Related Experiment Videos

Transition to stochastic synchronization in spatially extended systems.

L Baroni1, R Livi, A Torcini

  • 1Dipartimento di Fisica, Universitá di Firenze, Largo Enrico Fermi 5, I-50125 Firenze, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
Summary

Spatially extended dynamical systems exhibit stochastic synchronization when driven by noise. Noise can suppress information propagation, leading to phase transitions belonging to Kardar-Parisi-Zhang or directed percolation universality classes.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Spatially extended dynamical systems, such as coupled map lattices, are crucial for understanding complex phenomena.
  • Noise is known to influence the behavior of dynamical systems, but its role in extended systems is complex.
  • Synchronization in low-dimensional systems often depends on Lyapunov exponents, but this is less understood in extended systems.

Purpose of the Study:

  • To investigate stochastic synchronization in coupled map lattices driven by spatio-temporal noise.
  • To analyze the influence of noise on information propagation mechanisms within these extended systems.
  • To identify and classify the universality classes of observed phase transitions.

Main Methods:

  • Numerical simulations of coupled map lattices with additive spatio-temporal noise.

Related Experiment Videos

  • Calculation of the maximum Lyapunov exponent to assess synchronization.
  • Analysis of information propagation mechanisms (linear and nonlinear).
  • Identification of critical phenomena and universality classes.

    • Main Results:

    • Stochastic synchronization is observed in coupled map lattices with increasing noise amplitude.
    • Synchronization is achieved when the maximum Lyapunov exponent becomes negative.
    • Noise suppresses nonlinear information propagation, potentially leading to phase transitions.
    • Two types of phase transitions are identified: one potentially in the Kardar-Parisi-Zhang universality class and another in the directed percolation universality class.

    Conclusions:

    • Noise plays a dual role, enabling synchronization while potentially disrupting information flow in extended systems.
    • The study reveals distinct phase transitions in stochastic synchronization, linked to established universality classes.
    • These findings offer insights into the complex interplay of noise, synchronization, and information dynamics in spatially extended systems.