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Title: Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment

Abstract

Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation, we investigate the influence of time delay on noise-induced oscillations. It is shown that for appropriate choices of time delay, either suppression or enhancement of coherence resonance can be achieved. Analytical calculations are combined with numerical simulations and experiments on an electronic circuit.

Authors:
; ;  [1]; ;  [2]
  1. Department of Physics, Saratov State University, Astrakhanskaya str. 83, 410012 Saratov (Russian Federation)
  2. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin (Germany)
Publication Date:
OSTI Identifier:
22402539
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 25; Journal Issue: 3; Other Information: (c) 2015 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; BIFURCATION; COMPUTERIZED SIMULATION; CONTROL; ELECTRONIC CIRCUITS; FEEDBACK; NOISE; OSCILLATIONS; OSCILLATORS; RESONANCE; TIME DELAY

Citation Formats

Semenov, Vladimir, Feoktistov, Alexey, Vadivasova, Tatyana, Schöll, Eckehard, E-mail: schoell@physik.tu-berlin.de, and Zakharova, Anna, E-mail: anna.zakharova@tu-berlin.de. Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment. United States: N. p., 2015. Web. doi:10.1063/1.4915066.
Semenov, Vladimir, Feoktistov, Alexey, Vadivasova, Tatyana, Schöll, Eckehard, E-mail: schoell@physik.tu-berlin.de, & Zakharova, Anna, E-mail: anna.zakharova@tu-berlin.de. Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment. United States. doi:10.1063/1.4915066.
Semenov, Vladimir, Feoktistov, Alexey, Vadivasova, Tatyana, Schöll, Eckehard, E-mail: schoell@physik.tu-berlin.de, and Zakharova, Anna, E-mail: anna.zakharova@tu-berlin.de. Sun . "Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment". United States. doi:10.1063/1.4915066.
@article{osti_22402539,
title = {Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment},
author = {Semenov, Vladimir and Feoktistov, Alexey and Vadivasova, Tatyana and Schöll, Eckehard, E-mail: schoell@physik.tu-berlin.de and Zakharova, Anna, E-mail: anna.zakharova@tu-berlin.de},
abstractNote = {Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation, we investigate the influence of time delay on noise-induced oscillations. It is shown that for appropriate choices of time delay, either suppression or enhancement of coherence resonance can be achieved. Analytical calculations are combined with numerical simulations and experiments on an electronic circuit.},
doi = {10.1063/1.4915066},
journal = {Chaos (Woodbury, N. Y.)},
number = 3,
volume = 25,
place = {United States},
year = {Sun Mar 15 00:00:00 EDT 2015},
month = {Sun Mar 15 00:00:00 EDT 2015}
}