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Regular bursting emerging from coupled chaotic neurons

Pages: 946 - 955, Issue Special, September 2007

 Abstract        Full Text (474.0K)              

Jianzhong Su - The University of Texas at Arlington, Department of Mathematics, Box 19408, Arlington, TX 76019, United States (email)
Humberto Perez-Gonzalez - The University of Texas at Arlington, Department of Mathematics, Box 19408, Arlington, TX 76019, United States (email)
Ming He - Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200030, China (email)

Abstract: 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:  Coupled Oscillators, Chaotic behavior, Synchronization.
Mathematics Subject Classification:  34C28, 92C20.

Received: September 2006;      Revised: June 2007;      Published: September 2007.