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Exact synchronization of noisy bursting neurons with coupling delays

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  • Burić, Nikola
  • Todorović, Kristina
  • Vasović, Nebojša

Abstract

Exact synchronization of a pair of stochastically perturbed Hindmarsh–Rose bursting neurons with delayed electrical coupling is studied. Possibility of stochastically stable exact synchronization with sufficiently strong coupling is proved for arbitrary time-lags and sufficiently small noise. Various effects of the interplay and influence of noise and time-delay on the exact synchrony are studied by numerical computations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1127-1135
    DOI: 10.1016/j.chaos.2007.08.067
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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.
    2. Wu, Ying & Xu, Jianxue & He, Daihai & Earn, David J.D., 2005. "Generalized synchronization induced by noise and parameter mismatching in Hindmarsh–Rose neurons," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1605-1611.
    3. Arena, Paolo & Fortuna, Luigi & Frasca, Mattia & Rosa, Manuela La, 2006. "Locally active Hindmarsh–Rose neurons," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 405-412.
    4. Burić, Nikola & Grozdanović, Ines & Vasović, Nebojša, 2005. "Type I vs. type II excitable systems with delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1221-1233.
    5. 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.
    6. Steven H. Strogatz, 1998. "Death by delay," Nature, Nature, vol. 394(6691), pages 316-317, July.
    7. Yu, Hongjie & Peng, Jianhua, 2006. "Chaotic synchronization and control in nonlinear-coupled Hindmarsh–Rose neural systems," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 342-348.
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