American Institute of Mathematical Sciences

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2007, 2007(Special): 946-955. doi: 10.3934/proc.2007.2007.946

Regular bursting emerging from coupled chaotic neurons

Jianzhong Su 1, , Humberto Perez-Gonzalez 1, and  Ming He 2,

1. 

The University of Texas at Arlington, Department of Mathematics, Box 19408, Arlington, TX 76019, United States, United States
2. 

Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200030

Received  September 2006 Revised  June 2007 Published  September 2007

In this note, we study the change of collective behavior of two synaptically coupled bursting systems as the strength of coupling increases. The two cells present chaotic bursting behavior when not coupled. But as the strength increases past a certain value, the behavior of two cells becomes synchronized regular bursting motions. It shows that regular oscillations can emerge from connecting intrinsically chaotic oscillators with synapses. The method of analysis is similar to that of Fast Threshold Modulation theory.
Keywords: Chaotic behavior, Coupled Oscillators, Synchronization..
Mathematics Subject Classification: 34C28, 92C2.
Citation: Jianzhong Su, Humberto Perez-Gonzalez, Ming He. Regular bursting emerging from coupled chaotic neurons. Conference Publications, 2007, 2007 (Special) : 946-955. doi: 10.3934/proc.2007.2007.946
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