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Delay-induced excitability.

Tomasz Piwonski1, John Houlihan, Thomas Busch

  • 1Physics Department, National University of Ireland, University College Cork.

Physical Review Letters
|August 11, 2005
PubMed
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We discovered a new regime of excitability in bistable systems with time-delayed feedback. This phenomenon, observed in lasers, can generate complex wave patterns in two-dimensional systems.

Area of Science:

  • Nonlinear Dynamics
  • Complex Systems Physics

Background:

  • Bistable systems exhibit two stable states.
  • Time-delayed feedback can significantly alter system dynamics.

Purpose of the Study:

  • To investigate the emergence of excitability in bistable systems with time-delayed feedback.
  • To experimentally validate findings in a laser system.
  • To explore the spatial implications of delay-induced excitability.

Main Methods:

  • Analysis of stochastic dynamics.
  • Calculation of residence time distributions and power spectra.
  • Experimental observation using a vertical cavity surface emitting laser with optoelectronic feedback.
  • Numerical simulations of two-dimensional systems with diffusive coupling.

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Main Results:

  • Identified a regime of excitability in asymmetric bistable systems with time-delayed feedback.
  • Experimentally confirmed delay-induced excitability in laser polarization dynamics.
  • Numerically demonstrated the emergence of propagating wave fronts and spirals in two-dimensional systems.

Conclusions:

  • Time-delayed feedback can induce excitability in bistable systems.
  • This excitability is experimentally observable and can lead to complex spatio-temporal patterns like waves and spirals.