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Controlling coherence of noisy and chaotic oscillators by a linear feedback

Author

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  • Tukhlina, Natalia
  • Rosenblum, Michael
  • Pikovsky, Arkady

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.

Suggested Citation

  • Tukhlina, Natalia & Rosenblum, Michael & Pikovsky, Arkady, 2008. "Controlling coherence of noisy and chaotic oscillators by a linear feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6045-6056.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:24:p:6045-6056
    DOI: 10.1016/j.physa.2008.06.054
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    References listed on IDEAS

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    1. Goldobin, D & Rosenblum, M & Pikovsky, A, 2003. "Coherence of noisy oscillators with delayed feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 124-128.
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