Regular bursting emerging from coupled chaotic neurons

Jianzhong Su; Humberto Perez-Gonzalez; Ming He

doi:10.3934/proc.2007.2007.946

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2007, Volume 2007: 946-955. Doi: 10.3934/proc.2007.2007.946 open access

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Regular bursting emerging from coupled chaotic neurons

1.
The University of Texas at Arlington, Department of Mathematics, Box 19408, Arlington, TX 76019
2.
Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200030

Received: August 31, 2006

Revised: May 31, 2007

Published: August 2007

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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.

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Mathematics Subject Classification: 34C28, 92C20.

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