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Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation
Joint Authors
Rehan, Muhammad
Hong, Keum-Shik
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Synchronization of chaotic neurons under external electrical stimulation (EES) is studied in order to understand information processing in the brain and to improve the methodologies employed in the treatment of cognitive diseases.
This paper investigates the dynamics of uncertain coupled chaotic delayed FitzHugh-Nagumo (FHN) neurons under EES for incorporated parametric variations.
A global nonlinear control law for synchronization of delayed neurons with known parameters is developed.
Based on local and global Lipschitz conditions, knowledge of the bounds on the neuronal states, the Lyapunov-Krasovskii functional, and the L2 gain reduction, a less conservative local robust nonlinear control law is formulated to address the problem of robust asymptotic synchronization of delayed FHN neurons under parametric uncertainties.
The proposed local control law guarantees both robust stability and robust performance and provides the L2 bound for uncertainty rejection in the synchronization error dynamics.
Separate conditions for single-input and multiple-input control schemes for synchronization of a wide class of FHN systems are provided.
The results of the proposed techniques are verified through numerical simulations.
American Psychological Association (APA)
Rehan, Muhammad& Hong, Keum-Shik. 2012. Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation. Computational and Mathematical Methods in Medicine،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-455755
Modern Language Association (MLA)
Rehan, Muhammad& Hong, Keum-Shik. Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation. Computational and Mathematical Methods in Medicine No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-455755
American Medical Association (AMA)
Rehan, Muhammad& Hong, Keum-Shik. Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation. Computational and Mathematical Methods in Medicine. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-455755
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455755