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Transitions from partial to complete generalized synchronizations in bidirectionally coupled chaotic oscillators.

Zhigang Zheng1, Xingang Wang, Michael C Cross

  • 1Department of Physics, Beijing Normal University, Beijing 100875, China. zgzheng@bnu.edu.cn

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2002
PubMed
Summary

This study explores generalized synchronization in coupled chaotic oscillators. Increasing coupling strength leads to self-organized clustering and transitions from partial to global synchronization.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Chaos Theory

Background:

  • Generalized synchronization is a key phenomenon in coupled chaotic systems.
  • Understanding synchronization in nonidentical oscillators is crucial for complex network analysis.

Purpose of the Study:

  • To investigate generalized synchronization in arrays of mutually coupled nonidentical chaotic oscillators.
  • To analyze the transition dynamics from partial to global synchronization as coupling strength increases.

Main Methods:

  • Utilized coupled Lorenz and Lorenz-Rossler oscillator models.
  • Analyzed system behavior with varying coupling strengths.
  • Identified synchronization transitions through a clustering process.

Main Results:

Related Experiment Videos

  • Observed a cascade of transitions from partial to global generalized synchronization.
  • Demonstrated that increasing coupling strength drives oscillator entrainment.
  • Revealed an emergent self-organized order within interacting oscillator groups.

Conclusions:

  • The study generalizes the concept of synchronization in drive-response systems to coupled arrays.
  • Highlights the role of clustering in achieving global synchronization.
  • Confirms self-organization as an intrinsic property of coupled chaotic systems.