Bifurcation scenarios of neural firing patterns across two separated chaotic regions as indicated by theoretical and biological experimental models
type: Item
instance of: scholarly article
title: Bifurcation scenarios of neural firing patterns across two separated chaotic regions as indicated by theoretical and biological experimental models
zbMATH Open document ID: 1288.92006
DOI: 10.1155/2013/374674
author: Baobao Pan
author: Jian Xu
author: Hua-Guang Gu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 6306703
Wikidata QID: Q58916080
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/374674
OpenAlex ID: W2067290406
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description: scientific article; zbMATH DE number 6306703