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2013 Bifurcation Scenarios of Neural Firing Patterns across Two Separated Chaotic Regions as Indicated by Theoretical and Biological Experimental Models
Huaguang Gu, Baobao Pan, Jian Xu
Abstr. Appl. Anal. 2013(SI41): 1-12 (2013). DOI: 10.1155/2013/374674

Abstract

Nonlinear dynamics can be used to identify relationships between different firing patterns, which play important roles in the information processing. The present study provides novel biological experimental findings regarding complex bifurcation scenarios from period-1 bursting to period-1 spiking with chaotic firing patterns. These bifurcations were found to be similar to those simulated using the Hindmarsh-Rose model across two separated chaotic regions. One chaotic region lay between period-1 and period-2 burstings. This region has not attracted much attention. The other region is a well-known comb-shaped chaotic region, and it appears after period-2 bursting. After period-2 bursting, the chaotic firings lay in a period-adding bifurcation scenario or in a period-doubling bifurcation cascade. The deterministic dynamics of the chaotic firing patterns were identified using a nonlinear prediction method. These results provided details regarding the processes and dynamics of bifurcation containing the chaotic bursting between period-1 and period-2 burstings and other chaotic firing patterns within the comb-shaped chaotic region. They also provided details regarding the relationships between different firing patterns in parameter space.

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Huaguang Gu. Baobao Pan. Jian Xu. "Bifurcation Scenarios of Neural Firing Patterns across Two Separated Chaotic Regions as Indicated by Theoretical and Biological Experimental Models." Abstr. Appl. Anal. 2013 (SI41) 1 - 12, 2013. https://doi.org/10.1155/2013/374674

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1288.92006
MathSciNet: MR3134152
Digital Object Identifier: 10.1155/2013/374674

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI41 • 2013
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