Bifurcation control of in Morris-Lecar neuron model via washout filter with a linear term based on filter-aided dynamic feedback

Hailong Duan, Chengkun Cui, Chunxiao Han, Yanqiu Che

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

2 Citations (Scopus)

Abstract

In this paper, based on Routh-Hurwitz stability criterion, the linear control term of washout filter-aided dynamic feedback controller is added to the Morris-Lecar (ML) system to stabilize the bifurcation. We deduce the linear control parameters according to the stability criterion, and the simulation results indicate that the controller is effective to stabilize ML model. In addition, electrical stimulation is selected as an output of the controller, thus it may provide theoretical guidance for clinical diagnosis and therapy of dynamical diseases.

Original languageEnglish (US)
Title of host publicationAdvanced Research on Material Engineering and Its Application
Pages600-603
Number of pages4
DOIs
StatePublished - Mar 15 2012
Event2012 2nd International Conference on Information Science, Automation and Material System, ISAM 2012 - Changsha, China
Duration: Apr 21 2012Apr 22 2012

Publication series

NameApplied Mechanics and Materials
Volume485
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Other

Other2012 2nd International Conference on Information Science, Automation and Material System, ISAM 2012
CountryChina
CityChangsha
Period4/21/124/22/12

Fingerprint

Neurons
Stability criteria
Feedback
Controllers

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Duan, H., Cui, C., Han, C., & Che, Y. (2012). Bifurcation control of in Morris-Lecar neuron model via washout filter with a linear term based on filter-aided dynamic feedback. In Advanced Research on Material Engineering and Its Application (pp. 600-603). (Applied Mechanics and Materials; Vol. 485). https://doi.org/10.4028/www.scientific.net/AMR.485.600
Duan, Hailong ; Cui, Chengkun ; Han, Chunxiao ; Che, Yanqiu. / Bifurcation control of in Morris-Lecar neuron model via washout filter with a linear term based on filter-aided dynamic feedback. Advanced Research on Material Engineering and Its Application. 2012. pp. 600-603 (Applied Mechanics and Materials).
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Duan, H, Cui, C, Han, C & Che, Y 2012, Bifurcation control of in Morris-Lecar neuron model via washout filter with a linear term based on filter-aided dynamic feedback. in Advanced Research on Material Engineering and Its Application. Applied Mechanics and Materials, vol. 485, pp. 600-603, 2012 2nd International Conference on Information Science, Automation and Material System, ISAM 2012, Changsha, China, 4/21/12. https://doi.org/10.4028/www.scientific.net/AMR.485.600

Bifurcation control of in Morris-Lecar neuron model via washout filter with a linear term based on filter-aided dynamic feedback. / Duan, Hailong; Cui, Chengkun; Han, Chunxiao; Che, Yanqiu.

Advanced Research on Material Engineering and Its Application. 2012. p. 600-603 (Applied Mechanics and Materials; Vol. 485).

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

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Duan H, Cui C, Han C, Che Y. Bifurcation control of in Morris-Lecar neuron model via washout filter with a linear term based on filter-aided dynamic feedback. In Advanced Research on Material Engineering and Its Application. 2012. p. 600-603. (Applied Mechanics and Materials). https://doi.org/10.4028/www.scientific.net/AMR.485.600