Distribution of residence times in bistable noisy systems with time-delayed feedback

John Houlihan; Guillaume Huyet; Thomas Busch; Stephan P. Hegarty; David Goulding; David Curtin; Cristina Masoller

doi:10.1117/12.547017

25 May 2004 Distribution of residence times in bistable noisy systems with time-delayed feedback

John Houlihan, Guillaume Huyet, Thomas Busch, Stephan P. Hegarty, David Goulding, David Curtin, Cristina Masoller

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.547017
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

We analyse theoretically and experimentally the residence time distribution of bistable systems in the presence of noise and time-delayed feedback. The feedback provides a memory mechanism for the system which leads to non-Markovian dynamics. We demonstrate and explain various non-exponential features of the residence time distribution using a two-state as well as a continuous model. The experimental results are based on a Schmitt Trigger where the feedback is provided by a computer generated delay loop and on a semiconductor laser with opto-electronic feedback.

Citation Download Citation

John Houlihan, Guillaume Huyet, Thomas Busch, Stephan P. Hegarty, David Goulding, David Curtin, and Cristina Masoller "Distribution of residence times in bistable noisy systems with time-delayed feedback", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.547017

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