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Controlling coherence of noisy and chaotic oscillators by a linear feedback

Natalia Tukhlina, Michael Rosenblum and Arkady Pikovsky

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 24, 6045-6056

Abstract: We analyze the dynamics of a noisy limit cycle oscillator coupled to a general passive linear system. We analytically demonstrate that the phase diffusion constant, which characterizes the coherence of the oscillations, can be efficiently controlled. Theoretical analysis is performed in the framework of linear and Gaussian approximations and is supported by numerical simulations. We also demonstrate numerically the coherence control of a chaotic system.

Keywords: Noisy oscillators; Coherence; Feedback control (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:24:p:6045-6056

DOI: 10.1016/j.physa.2008.06.054

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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