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Title: Modulating resonance behaviors by noise recycling in bistable systems with time delay

In this paper, the impact of noise recycling on resonance behaviors is studied theoretically and numerically in a prototypical bistable system with delayed feedback. According to the interior cooperating and interacting activity of noise recycling, a theory has been proposed by reducing the non-Markovian problem into a two-state model, wherein both the master equation and the transition rates depend on not only the current state but also the earlier two states due to the recycling lag and the feedback delay. By virtue of this theory, the formulae of the power spectrum density and the linear response function have been found analytically. And the theoretical results are well verified by numerical simulations. It has been demonstrated that both the recycling lag and the feedback delay play a crucial role in the resonance behaviors. In addition, the results also suggest an alternative scheme to modulate or control the coherence or stochastic resonance in bistable systems with time delay.
Authors:
;  [1] ;  [2] ;  [3]
  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072 (China)
  2. College of Mathematics and Information Science, Shaan'xi Normal University, Xi'an 710062 (China)
  3. Department of Mathematics and Information Science, Chang'an University, Xi'an 710086 (China)
Publication Date:
OSTI Identifier:
22351118
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 24; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; CONTROL; FEEDBACK; MARKOV PROCESS; NOISE; RESONANCE; RESPONSE FUNCTIONS; SPECTRA