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Noise-enhanced phase synchronization in time-delayed systems.

D V Senthilkumar1, M Manju Shrii, J Kurths

  • 1Potsdam Institute for Climate Impact Research, 14473 Potsdam, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 3, 2012
PubMed
Summary
This summary is machine-generated.

Noise enhances phase synchronization (PS) in coupled time-delay systems. This study reveals how noise interacts with system time scales to achieve PS, regardless of noise type or coupling direction.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems science
  • Chaos theory

Background:

  • Coupled time-delay systems often display complex dynamics and lack phase coherence.
  • Understanding noise effects on synchronization is crucial for these systems.

Purpose of the Study:

  • Investigate noise-enhanced phase synchronization (PS) in coupled time-delay systems.
  • Analyze the interplay between noise and system time scales in achieving PS.
  • Examine the influence of noise on different coupling configurations (unidirectional vs. bidirectional).

Main Methods:

  • Analysis of coupled time-delay systems under additive Gaussian noise.
  • Comparison of synchronization behavior with common versus independent noise sources.
  • Examination of how noise affects time scale adaptation in drive-response systems.

Main Results:

  • Noise can enhance phase synchronization (PS) in systems with complex attractors.
  • The effect of noise on PS is consistent across both common and independent additive Gaussian noise.
  • System dynamics adapt to achieve PS, with differences observed in unidirectional versus bidirectional coupling.

Conclusions:

  • Noise plays a significant role in promoting phase synchronization in complex time-delay systems.
  • The findings highlight the importance of considering noise when studying synchronization phenomena.
  • Time scale adjustment mechanisms are influenced by coupling structure and noise presence.