Deterministic coherence resonance in systems with on-off intermittency and delayed feedback

J. Buryk , Andrzej Krawiecki , Teodor Buchner

Abstract

Coherence resonance consists in the increase of regularity of an output signal of a nonlinear device for non-zero intensity of input noise. This phenomenon occurs, e.g., in stochastic systems with delayed feedback in which external noise amplifies the periodic component of the output signal with the period equal to the delay time. In this contribution it is shown that in chaotic systems with delayed feedback deterministic (noise-free) coherence resonance can occur, which consists in the maximization of the periodic component of the output signal in the absence of stochastic noise, due to the changes in the internal chaotic dynamics of the system as the control parameter is varied. This phenomenon is observed in systems with on-off intermittency and attractor bubbling, including generic maps and systems of diffusively coupled chaotic oscillators at the edge of synchronization. The occurrence of deterministic coherence resonance for the optimum value of the control parameter (e.g., of the coupling strength between synchronized oscillators) is characterized by the appearance of a series of maxima at the multiples of the delay time in the probability distribution of the laminar phase lengths, superimposed on the power-law trend typical of on-off intermittency, and by the presence of a strong maximum in the power spectrum density of the output signal.

Author J. Buryk (WUT)
J. Buryk,,
- Warsaw University of Technology
, Andrzej Krawiecki (FP / PCSD)
Andrzej Krawiecki,,
- Physics of Complex Systems Divison
, Teodor Buchner (FP / PCSD)
Teodor Buchner,,
- Physics of Complex Systems Divison
Pages61-68
Publication size in sheets0.5
Book Grecucci Alessandro (eds.): CHAOS 2011 - 4th Chaotic Modeling and Simulation International Conference, Proceedings, 2011, ISBN 9783642147876
Languageen angielski
Score (nominal)0
ScoreMinisterial score = 5.0, 18-11-2019, ArticleFromJournal
Publication indicators Scopus Citations = 0
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