Desynchronization of the chaotic-bursting neuronal ensemble based on LaSalle invariant principle

Yanqiu Che, Ruixue X. Li, Tingting T. Yang

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

Abstract

In this paper, an adaptive control scheme is presented for the desynchronization of a neuronal population based on LaSalle invariant principle. This control can asymptotically stabilize the mean field of the popolation at a fixed point to achieve desynchronization. A realistic model described by Hindmarsh-Rose equations is chosen as our example. The simulation results demonstrate the effectiveness of the proposed control scheme.

Original languageEnglish (US)
Title of host publicationMechanical Engineering, Industrial Electronics and Information Technology Applications in Industry
Pages1109-1112
Number of pages4
DOIs
StatePublished - Oct 30 2013
Event2nd International Conference on Mechanical Engineering, Industrial Electronics and Informatization, MEIEI 2013 - Chongqing, China
Duration: Sep 14 2013Sep 15 2013

Publication series

NameApplied Mechanics and Materials
Volume427-429
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Other

Other2nd International Conference on Mechanical Engineering, Industrial Electronics and Informatization, MEIEI 2013
CountryChina
CityChongqing
Period9/14/139/15/13

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Che, Y., Li, R. X., & Yang, T. T. (2013). Desynchronization of the chaotic-bursting neuronal ensemble based on LaSalle invariant principle. In Mechanical Engineering, Industrial Electronics and Information Technology Applications in Industry (pp. 1109-1112). (Applied Mechanics and Materials; Vol. 427-429). https://doi.org/10.4028/www.scientific.net/AMM.427-429.1109
Che, Yanqiu ; Li, Ruixue X. ; Yang, Tingting T. / Desynchronization of the chaotic-bursting neuronal ensemble based on LaSalle invariant principle. Mechanical Engineering, Industrial Electronics and Information Technology Applications in Industry. 2013. pp. 1109-1112 (Applied Mechanics and Materials).
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Che, Y, Li, RX & Yang, TT 2013, Desynchronization of the chaotic-bursting neuronal ensemble based on LaSalle invariant principle. in Mechanical Engineering, Industrial Electronics and Information Technology Applications in Industry. Applied Mechanics and Materials, vol. 427-429, pp. 1109-1112, 2nd International Conference on Mechanical Engineering, Industrial Electronics and Informatization, MEIEI 2013, Chongqing, China, 9/14/13. https://doi.org/10.4028/www.scientific.net/AMM.427-429.1109

Desynchronization of the chaotic-bursting neuronal ensemble based on LaSalle invariant principle. / Che, Yanqiu; Li, Ruixue X.; Yang, Tingting T.

Mechanical Engineering, Industrial Electronics and Information Technology Applications in Industry. 2013. p. 1109-1112 (Applied Mechanics and Materials; Vol. 427-429).

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

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AB - In this paper, an adaptive control scheme is presented for the desynchronization of a neuronal population based on LaSalle invariant principle. This control can asymptotically stabilize the mean field of the popolation at a fixed point to achieve desynchronization. A realistic model described by Hindmarsh-Rose equations is chosen as our example. The simulation results demonstrate the effectiveness of the proposed control scheme.

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Che Y, Li RX, Yang TT. Desynchronization of the chaotic-bursting neuronal ensemble based on LaSalle invariant principle. In Mechanical Engineering, Industrial Electronics and Information Technology Applications in Industry. 2013. p. 1109-1112. (Applied Mechanics and Materials). https://doi.org/10.4028/www.scientific.net/AMM.427-429.1109