Chaos synchronization of coupled neurons with gap junctions

Qing Yun Wang; Qi Shao Lu; Guan Rong Chen; Ding Hui Guo

doi:10.1016/j.physleta.2006.03.017

Chaos synchronization of coupled neurons with gap junctions

Qing Yun Wang
, Qi Shao Lu^*
, Guan Rong Chen
, Ding Hui Guo

^*Corresponding author for this work

Inner Mongolia University of Finance and Economics
Beihang University
City University of Hong Kong

Research output: Contribution to journal › Article › peer-review

118 Scopus citations

Abstract

Based on the asymptotic stability theory of dynamical systems and matrix theory, a general criterion of synchronization stability of N coupled neurons with symmetric configurations is established in this Letter. Especially, three types of connection styles (that is, chain, ring and global connections) are considered. As an illustration, complete synchronization of four coupled identical chaotic Chay neurons is investigated. The maximal conditional Lyapunov exponent is calculated and used to determine complete synchronization. As a result, complete synchronization of four coupled identical chaotic Chay neurons can be achieved when the coupling strength is above a critical value, which is dependent on the specific connection style. Numerical simulation is in good agreement with the theoretical analysis.

Original language	English
Pages (from-to)	17-25
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	356
Issue number	1
DOIs	https://doi.org/10.1016/j.physleta.2006.03.017
State	Published - 24 Jul 2006

Keywords

Asymptotic stability
Gap junction
General criterion
Synchronization stability

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10.1016/j.physleta.2006.03.017

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title = "Chaos synchronization of coupled neurons with gap junctions",

abstract = "Based on the asymptotic stability theory of dynamical systems and matrix theory, a general criterion of synchronization stability of N coupled neurons with symmetric configurations is established in this Letter. Especially, three types of connection styles (that is, chain, ring and global connections) are considered. As an illustration, complete synchronization of four coupled identical chaotic Chay neurons is investigated. The maximal conditional Lyapunov exponent is calculated and used to determine complete synchronization. As a result, complete synchronization of four coupled identical chaotic Chay neurons can be achieved when the coupling strength is above a critical value, which is dependent on the specific connection style. Numerical simulation is in good agreement with the theoretical analysis.",

keywords = "Asymptotic stability, Gap junction, General criterion, Synchronization stability",

author = "Wang, \{Qing Yun\} and Lu, \{Qi Shao\} and Chen, \{Guan Rong\} and Guo, \{Ding Hui\}",

year = "2006",

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doi = "10.1016/j.physleta.2006.03.017",

language = "英语",

volume = "356",

pages = "17--25",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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TY - JOUR

T1 - Chaos synchronization of coupled neurons with gap junctions

AU - Wang, Qing Yun

AU - Lu, Qi Shao

AU - Chen, Guan Rong

AU - Guo, Ding Hui

PY - 2006/7/24

Y1 - 2006/7/24

N2 - Based on the asymptotic stability theory of dynamical systems and matrix theory, a general criterion of synchronization stability of N coupled neurons with symmetric configurations is established in this Letter. Especially, three types of connection styles (that is, chain, ring and global connections) are considered. As an illustration, complete synchronization of four coupled identical chaotic Chay neurons is investigated. The maximal conditional Lyapunov exponent is calculated and used to determine complete synchronization. As a result, complete synchronization of four coupled identical chaotic Chay neurons can be achieved when the coupling strength is above a critical value, which is dependent on the specific connection style. Numerical simulation is in good agreement with the theoretical analysis.

AB - Based on the asymptotic stability theory of dynamical systems and matrix theory, a general criterion of synchronization stability of N coupled neurons with symmetric configurations is established in this Letter. Especially, three types of connection styles (that is, chain, ring and global connections) are considered. As an illustration, complete synchronization of four coupled identical chaotic Chay neurons is investigated. The maximal conditional Lyapunov exponent is calculated and used to determine complete synchronization. As a result, complete synchronization of four coupled identical chaotic Chay neurons can be achieved when the coupling strength is above a critical value, which is dependent on the specific connection style. Numerical simulation is in good agreement with the theoretical analysis.

KW - Asymptotic stability

KW - Gap junction

KW - General criterion

KW - Synchronization stability

UR - https://www.scopus.com/pages/publications/33745206530

U2 - 10.1016/j.physleta.2006.03.017

DO - 10.1016/j.physleta.2006.03.017

M3 - 文章

AN - SCOPUS:33745206530

SN - 0375-9601

VL - 356

SP - 17

EP - 25

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1

ER -

Chaos synchronization of coupled neurons with gap junctions

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Keywords

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