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Synchronization of self-sustained oscillators by common white noise

Author

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  • Goldobin, D.S.
  • Pikovsky, A.S.

Abstract

We study the stability of self-sustained oscillations under the influence of external noise. For small-noise amplitude a phase approximation for the Langevin dynamics is valid. A stationary distribution of the phase is used for an analytic calculation of the maximal Lyapunov exponent. We demonstrate that for small noise the exponent is negative, which corresponds to synchronization of oscillators.

Suggested Citation

  • Goldobin, D.S. & Pikovsky, A.S., 2005. "Synchronization of self-sustained oscillators by common white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 126-132.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:1:p:126-132
    DOI: 10.1016/j.physa.2004.12.014
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    Citations

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    Cited by:

    1. Wang, Guanjun & Cao, Jinde & Lu, Jianquan, 2010. "Outer synchronization between two nonidentical networks with circumstance noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1480-1488.
    2. Stan, Cristina & Cristescu, C.P. & Alexandroaei, D. & Agop, M., 2009. "Stochastic resonance and vibrational resonance in an excitable system: The golden mean barrier," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 727-734.
    3. Burić, Nikola & Todorović, Kristina & Vasović, Nebojša, 2009. "Exact synchronization of noisy bursting neurons with coupling delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1127-1135.
    4. Burić, Nikola & Todorović, Kristina & Vasović, Nebojša, 2009. "Dynamics of noisy FitzHugh–Nagumo neurons with delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2405-2413.

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