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Colored-noise-induced chaotic array synchronization.

M N Lorenzo1, V Pérez-Muñuzuri

  • 1Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela, 15706 Santiago de Compostela, Spain. nieves@fmmeteo.usc.es

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

Adding time-correlated Gaussian noise to chaotic cell arrays reveals resonance effects. Synchronization improves or degrades based on noise, coupling, and array size, showcasing complex nonlinear dynamics.

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Area of Science:

  • Nonlinear dynamics and complex systems science.

Background:

  • Chaotic systems exhibit sensitive dependence on initial conditions.
  • Coupled chaotic cells can display synchronized behavior.
  • External noise can significantly influence the dynamics of chaotic systems.

Purpose of the Study:

  • To analyze the impact of time-correlated Gaussian noise on one-dimensional arrays of diffusively coupled chaotic cells.
  • To investigate resonance phenomena between chaotic attractors and colored noise.
  • To understand how noise parameters and array characteristics affect synchronization.

Main Methods:

  • Linear stability analysis around uniform synchronized behavior.
  • Mathematical modeling of diffusively coupled chaotic cells.
  • Numerical simulations to observe system responses to correlated noise.

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Main Results:

  • A resonance effect was identified between the chaotic attractor's time scale and the colored Gaussian noise.
  • Synchronization quality (improvement or degradation) depends on noise strength, coupling, and the number of cells.
  • Specific time-correlation values can lead to enhanced or diminished synchronization.

Conclusions:

  • Time-correlated noise can induce complex nonlinear cooperative effects in coupled chaotic systems.
  • Resonance is a key mechanism influencing synchronization in these arrays.
  • The study provides insights into controlling and predicting synchronization in complex chaotic networks.