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Transitions of different rhythm patterns of neuronal firing activity

Yang Zhuo-Qin

Transitions of different rhythm patterns of neuronal firing activity

Yang Zhuo-Qin
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Publishing process
  • Received Date:  02 November 2009
  • Accepted Date:  04 December 2009
  • Published Online:  05 April 2010

Transitions of different rhythm patterns of neuronal firing activity

  • 1. Shcool of Mathematics and System Sciences and Key Laboratory of Mathematics and Behavioral Semantics,Beihang University,Beijing 100083,China

Abstract: Transitions of different neuronal firing patterns in the Chay model are explored by numerical simulation of three firing sequences observed in experiments on neural pacemakers, and the bifurcation analysis of limit cycle. Firstly,the transitions of periodic firing patterns through a pair of period-doubling bifurcations are obtained. Secondly,a supercritical and a subcritical period-doubling bursting sequences with different appearances lead to chaos,and then transit to an inverse period-doubling spiking sequence in different ways,separately. Finally,we reveal the true nature of period-adding bursting sequence without chaotic bursting,which is closely related to period-doubling bifurcation.

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