The nonlinear dynamics of single and chemically coupled map-based oscillatory neurons

Hai Tao Yu, Jiang Wang, Yanqiu Che, Bin Deng, Xi Le Wei

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The complex nonlinear features of the fast and slow dynamics in single map-based oscillatory neuron are studied through phase portrait analysis. The map-based model can exhibit a wide variety of oscillatory activity patterns found in real biological neurons. The nonlinear dynamics and phase synchronization of two chemically coupled maps are investigated with interspike interval (ISI) approach. Various interesting collective behavior of coupled neurons are presented. The effects of intrinsic properties of the individual neurons and chemical coupling scheme on phase synchronization are also discussed through numerical simulation.

Original languageEnglish (US)
Title of host publicationProceedings of the 29th Chinese Control Conference, CCC'10
Pages5159-5164
Number of pages6
StatePublished - Dec 22 2010
Event29th Chinese Control Conference, CCC'10 - Beijing, China
Duration: Jul 29 2010Jul 31 2010

Publication series

NameProceedings of the 29th Chinese Control Conference, CCC'10

Other

Other29th Chinese Control Conference, CCC'10
CountryChina
CityBeijing
Period7/29/107/31/10

Fingerprint

Neurons
Synchronization
Computer simulation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Yu, H. T., Wang, J., Che, Y., Deng, B., & Wei, X. L. (2010). The nonlinear dynamics of single and chemically coupled map-based oscillatory neurons. In Proceedings of the 29th Chinese Control Conference, CCC'10 (pp. 5159-5164). [5573425] (Proceedings of the 29th Chinese Control Conference, CCC'10).
Yu, Hai Tao ; Wang, Jiang ; Che, Yanqiu ; Deng, Bin ; Wei, Xi Le. / The nonlinear dynamics of single and chemically coupled map-based oscillatory neurons. Proceedings of the 29th Chinese Control Conference, CCC'10. 2010. pp. 5159-5164 (Proceedings of the 29th Chinese Control Conference, CCC'10).
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title = "The nonlinear dynamics of single and chemically coupled map-based oscillatory neurons",
abstract = "The complex nonlinear features of the fast and slow dynamics in single map-based oscillatory neuron are studied through phase portrait analysis. The map-based model can exhibit a wide variety of oscillatory activity patterns found in real biological neurons. The nonlinear dynamics and phase synchronization of two chemically coupled maps are investigated with interspike interval (ISI) approach. Various interesting collective behavior of coupled neurons are presented. The effects of intrinsic properties of the individual neurons and chemical coupling scheme on phase synchronization are also discussed through numerical simulation.",
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Yu, HT, Wang, J, Che, Y, Deng, B & Wei, XL 2010, The nonlinear dynamics of single and chemically coupled map-based oscillatory neurons. in Proceedings of the 29th Chinese Control Conference, CCC'10., 5573425, Proceedings of the 29th Chinese Control Conference, CCC'10, pp. 5159-5164, 29th Chinese Control Conference, CCC'10, Beijing, China, 7/29/10.

The nonlinear dynamics of single and chemically coupled map-based oscillatory neurons. / Yu, Hai Tao; Wang, Jiang; Che, Yanqiu; Deng, Bin; Wei, Xi Le.

Proceedings of the 29th Chinese Control Conference, CCC'10. 2010. p. 5159-5164 5573425 (Proceedings of the 29th Chinese Control Conference, CCC'10).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - The complex nonlinear features of the fast and slow dynamics in single map-based oscillatory neuron are studied through phase portrait analysis. The map-based model can exhibit a wide variety of oscillatory activity patterns found in real biological neurons. The nonlinear dynamics and phase synchronization of two chemically coupled maps are investigated with interspike interval (ISI) approach. Various interesting collective behavior of coupled neurons are presented. The effects of intrinsic properties of the individual neurons and chemical coupling scheme on phase synchronization are also discussed through numerical simulation.

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Yu HT, Wang J, Che Y, Deng B, Wei XL. The nonlinear dynamics of single and chemically coupled map-based oscillatory neurons. In Proceedings of the 29th Chinese Control Conference, CCC'10. 2010. p. 5159-5164. 5573425. (Proceedings of the 29th Chinese Control Conference, CCC'10).