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Related Experiment Videos

Coherence resonance in coupled chaotic oscillators.

Z Liu1, Y C Lai

  • 1Department of Mathematics, Center for Systems Science and Engineering Research, Arizona State University, Tempe, AZ 85287, USA.

Physical Review Letters
|June 1, 2001
PubMed
Summary

Noise can enhance temporal regularity in coupled chaotic oscillators, a phenomenon known as coherence resonance. This study extends coherence resonance to these systems, showing optimal noise levels improve oscillator synchronization.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Chaos Theory

Background:

  • Coherence resonance, noise-enhanced temporal regularity, is typically studied in excitable systems (e.g., FitzHugh-Nagumo equations).
  • Coupled chaotic oscillators represent a significant class of dynamical systems with potential for coherence resonance phenomena.
  • Understanding noise effects on coupled chaotic systems is crucial for various scientific and engineering applications.

Purpose of the Study:

  • To extend the concept of coherence resonance to systems of coupled chaotic oscillators.
  • To investigate the influence of noise on the temporal regularity of dynamical variables in coupled chaotic systems.
  • To identify the conditions under which noise enhances regularity and to provide a theoretical explanation.

Main Methods:

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  • Numerical simulations of coupled chaotic oscillator systems subjected to varying noise levels.
  • Analysis of dynamical variables characterizing the differences among oscillators to quantify temporal regularity.
  • Development of a physical theory to explain the observed noise-induced enhancement of regularity.

Main Results:

  • Demonstrated that noise can indeed enhance temporal regularity in coupled chaotic oscillators.
  • Observed that the degree of temporal regularity increases with noise, reaching a maximum at an optimal noise level.
  • Quantified the phenomenon and provided evidence for coherence resonance in this new class of systems.

Conclusions:

  • Coherence resonance is a viable phenomenon in coupled chaotic oscillator systems, expanding its known applicability.
  • Optimal noise levels can significantly improve the temporal regularity and synchronization of coupled chaotic oscillators.
  • The findings offer new insights into noise-induced order in complex dynamical systems.