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Synchronization of Coupled Neurons Controlled by a Pacemaker |
| LI Mei-Sheng1**, ZHANG Hong-Hui1, ZHAO Yong2, SHI Xia3
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1LMIB and School of Mathematics and System Sciences, Beihang University, Beijing 100191
2Department of Dynamics and Control, Beihang University, Beijing 100191
3School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
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| Cite this article: |
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LI Mei-Sheng, ZHANG Hong-Hui, ZHAO Yong et al 2011 Chin. Phys. Lett. 28 010504 |
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Abstract We investigate synchronization of Hindmarsh–Rose neurons with gap junctions under the control of a pacemaker. In a ring Hindmarsh–Rose neuronal network, the coupled neurons with the pacemaker can occur in synchronization more easily than those without the pacemaker. Furthermore, the pacemaker can induce phase synchronization or nearly-complete synchronization of nonidentical neurons. This synchronization can occur more easily when time delay is considered. Theses results can be helpful to understand the activities of the real neuronal system.
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| Keywords:
05.45.-a
05.45.Xt
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Received: 29 April 2010
Published: 23 December 2010
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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