Detection of Mechanism of Noise-Induced Synchronization between Two Identical Uncoupled Neurons
WU Ying1,2, XU Jian-Xue2, JIN Wu-Yin3, HONG Ling2
1School of Science, Xi'an University of Technology, Xi'an 7100482School of Aeronautics and Aerospace, Xi'an Jiaotong University, Xi'an 710049 3School of Mechanical and Electronic Engineering, Lanzhou University of Technology, Lanzhou 730050
Detection of Mechanism of Noise-Induced Synchronization between Two Identical Uncoupled Neurons
WU Ying1,2;XU Jian-Xue2;JIN Wu-Yin3;HONG Ling2
1School of Science, Xi'an University of Technology, Xi'an 7100482School of Aeronautics and Aerospace, Xi'an Jiaotong University, Xi'an 710049 3School of Mechanical and Electronic Engineering, Lanzhou University of Technology, Lanzhou 730050
摘要We investigate the noise-induced synchronization between two identical uncoupled Hodgkin--Huxley neurons with sinusoidal stimulations. The numerical results confirm that the value of critical noise intensity for synchronizing two systems is much less than the magnitude of mean size of the attractor in the original system, and the deterministic feature of the attractor in the original system remains unchanged. This finding is significantly different from the previous work [Phys. Rev. E 67 (2003) 027201] in which the value of the critical noise intensity for synchronizing two systems was found to be roughly equal to the magnitude of mean size of the attractor in the original system, and at this intensity, the noise swamps the qualitative structure of the attractor in the original deterministic systems to synchronize to their stochastic dynamics. Further investigation shows that the critical noise intensity for synchronizing two neurons induced by noise may be related to the structure of interspike intervals of the original systems.
Abstract：We investigate the noise-induced synchronization between two identical uncoupled Hodgkin--Huxley neurons with sinusoidal stimulations. The numerical results confirm that the value of critical noise intensity for synchronizing two systems is much less than the magnitude of mean size of the attractor in the original system, and the deterministic feature of the attractor in the original system remains unchanged. This finding is significantly different from the previous work [Phys. Rev. E 67 (2003) 027201] in which the value of the critical noise intensity for synchronizing two systems was found to be roughly equal to the magnitude of mean size of the attractor in the original system, and at this intensity, the noise swamps the qualitative structure of the attractor in the original deterministic systems to synchronize to their stochastic dynamics. Further investigation shows that the critical noise intensity for synchronizing two neurons induced by noise may be related to the structure of interspike intervals of the original systems.
WU Ying;XU Jian-Xue;JIN Wu-Yin;HONG Ling. Detection of Mechanism of Noise-Induced Synchronization between Two Identical Uncoupled Neurons[J]. 中国物理快报, 2007, 24(11): 3066-3069.
WU Ying, XU Jian-Xue, JIN Wu-Yin, HONG Ling. Detection of Mechanism of Noise-Induced Synchronization between Two Identical Uncoupled Neurons. Chin. Phys. Lett., 2007, 24(11): 3066-3069.
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2007, Vol. 24 
