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Master-slave synchronization in chaotic discrete-time oscillators.

J Schwarz1, A Klotz, K Bräuer

  • 1Institut für Theoretische Physik, Universität Tübingen, Morgenstelle 14, D-72076 Tübingen, Germany. juergen.schwarz@uni-tuebingen.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 20, 2001
PubMed
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This study explores a discrete-time neural oscillator model capable of processing spatiotemporal information. Coupled oscillators demonstrate generalized synchronization and on-off intermittency when driven by chaotic signals.

Area of Science:

  • Computational neuroscience
  • Nonlinear dynamics
  • Complex systems

Background:

  • Neural oscillator models are crucial for understanding brain function.
  • Discrete-time models offer computational advantages for studying complex dynamics.
  • Chaotic dynamics in neural systems suggest sophisticated information processing capabilities.

Purpose of the Study:

  • To investigate the information processing capabilities of a simple discrete-time neural oscillator.
  • To analyze the dynamics of coupled oscillators, particularly in a master-slave configuration.
  • To characterize synchronization phenomena and intermittent behavior in response to time-dependent inputs.

Main Methods:

  • Simulation of a discrete-time neural oscillator model.
  • Analysis of system dynamics under constant and time-dependent external stimulation.

Related Experiment Videos

  • Investigation of coupled oscillator behavior using a master-slave setup.
  • Characterization of synchronization (generalized synchronization) and intermittency (on-off intermittency).

    • Main Results:

    • The neural oscillator model exhibits periodic and chaotic dynamics.
    • The model demonstrates spatiotemporal information processing by switching between chaotic states.
    • Coupled oscillators show adaptation to a chaotic drive, leading to generalized synchronization.
    • On-off intermittency and irregular bursting behavior are observed during the adaptation process.

    Conclusions:

    • Discrete-time neural oscillators can exhibit complex dynamics relevant to information processing.
    • Coupled chaotic oscillators can achieve generalized synchronization, indicating coordinated information flow.
    • The observed on-off intermittency highlights a mechanism for irregular but adaptive neural responses.