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Synchronization in Neuronal Population with Phase Response

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Advances in Cognitive Neurodynamics (IV)

Part of the book series: Advances in Cognitive Neurodynamics ((ICCN))

Abstract

In the present study, we have formulated a phase description of a neuronal oscillator with non-instantaneous synaptic inputs, by using the phase sensitivity function. By numerical simulation, we found that the synaptic time constant is an important factor for global network synchronization. If the synaptic time constant is smaller, perfectly synchronized behavior quickly occurs. As the synaptic time constant is increased, periodic synchronization emerges. However, synchronized activity is lost for larger synaptic time constant. The external periodic stimulation can change the synchronized patterns in the neuronal population. With a stronger stimulation or high-frequency stimulation, synchronized bursting occurred in the neuronal population.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant No. 11232005 and No. 11172086.

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Correspondence to Xianfa Jiao .

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Jiao, X., Zhu, D., Wang, R. (2015). Synchronization in Neuronal Population with Phase Response. In: Liljenström, H. (eds) Advances in Cognitive Neurodynamics (IV). Advances in Cognitive Neurodynamics. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9548-7_36

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