Self-tuning to the Hopf bifurcation in fluctuating systems

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dc.creatorBalakrishnan, J.
dc.date2005-02-09
dc.date.accessioned2026-07-07T05:36:16Z
dc.date.available2026-07-07T05:36:16Z
dc.descriptionThe problem of self-tuning a system to the Hopf bifurcation in the presence of noise and periodic external forcing is discussed. We find that the response of the system has a non-monotonic dependence on the noise-strength, and displays an amplified response which is more pronounced for weaker signals. The observed effect is to be distinguished from stochastic resonance. For the feedback we have studied, the unforced self-tuned Hopf oscillator in the presence of fluctuations exhibits sharp peaks in its spectrum. The implications of our general results are briefly discussed in the context of sound detection by the inner ear.
dc.description37 pages, 7 figures (8 figure files)
dc.identifierhttps://arxiv.org/abs/nlin/0502018
dc.identifierhttp://arxiv.org/abs/nlin/0502018
dc.identifierJ.Phys.A 38, 1627 (2005)
dc.identifierdoi:10.1088/0305-4470/38/8/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80934
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.subjectBiological Physics
dc.subjectQuantitative Methods
dc.titleSelf-tuning to the Hopf bifurcation in fluctuating systems
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