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General coupled-nonlinear-oscillator model for event-related (de)synchronization.

Jane H Sheeba1, V K Chandrasekar, M Lakshmanan

  • 1Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 9, 2011
PubMed
Summary

External stimuli can cause event-related synchronization (ERS) and event-related desynchronization (ERD) in coupled oscillator systems. The same stimulus can induce either ERS or ERD based on its signal strength, revealing generic phenomena in collective dynamics.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Neuroscience (if applicable)

Background:

  • Event-related synchronization (ERS) and desynchronization (ERD) describe changes in coupled oscillator activity due to external influences.
  • These phenomena are crucial in understanding collective behavior in various real-life systems.

Purpose of the Study:

  • To investigate the role of external stimulus signals in inducing ERS and ERD.
  • To analyze the generic nature and dependence of ERS/ERD on stimulus strength in coupled nonlinear oscillators.

Main Methods:

  • Studied a system of coupled nonlinear oscillators subjected to an external stimulus signal.
  • Employed analytical and numerical methods to identify synchronization regimes and state stability.

Main Results:

  • ERS and ERD are generic phenomena, observed across all coupled oscillator systems.
  • The occurrence of ERS or ERD is contingent on the external stimulus signal strength.
  • Identified stability of ERS/ERD states and boundaries between synchronization regimes.

Conclusions:

  • External stimuli universally influence collective dynamics, leading to ERS and ERD.
  • Stimulus intensity is a key factor determining whether synchronization or desynchronization occurs.
  • Provides a framework for understanding transitions between synchronization states in complex systems.