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Time delay induced different synchronization patterns in repulsively coupled chaotic oscillators.

Chenggui Yao1, Ming Yi, Jianwei Shuai

  • 1Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, People's Republic of China.

Chaos (Woodbury, N.Y.)
|October 5, 2013
PubMed
Summary
This summary is machine-generated.

Time delay in coupled chaotic oscillators induces transitions to complete synchronization (CS). Adjusting coupling strength or delay generates diverse synchronous patterns, crucial for understanding brain information processing.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems
  • Computational neuroscience

Background:

  • Coupled oscillators are fundamental to many natural phenomena.
  • Time delays in coupling significantly impact system dynamics.
  • Understanding synchronization is key to brain function.

Purpose of the Study:

  • Investigate the role of time delay in chaotic oscillator synchronization.
  • Explore the emergence of different synchronous patterns.
  • Elucidate the mechanisms behind time-delay-induced synchronization.

Main Methods:

  • Numerical simulations of repulsively coupled chaotic oscillators.
  • Systematic variation of coupling strength and time delay.
  • Analysis of synchronization states and bifurcations.

Main Results:

  • Time delay induces transitions from asynchronous to complete synchronization (CS).
  • Diverse synchronous patterns (CS, antiphase CS, ANS, phase synchronization) are generated by varying parameters.
  • Bistable synchronous states observed in transition regions.
  • Time-delay-induced phase flip bifurcation is critical for CS emergence.

Conclusions:

  • Time delay is a critical parameter for controlling synchronization in chaotic systems.
  • Findings provide insights into neuronal synchronization mechanisms.
  • The study contributes to understanding information processing in the brain.