Synchronization of Coupled Different Chaotic FitzHugh-Nagumo Neurons with Unknown Parameters under Communication-Direction-Dependent Coupling
Joint Authors
Iqbal, Muhammad
Rehman, Saeed-ur-
Rehan, Muhammad
Hong, Keum-Shik
Khaliq, Abdul
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper investigates the chaotic behavior and synchronization of two different coupled chaotic FitzHugh-Nagumo (FHN) neurons with unknown parameters under external electrical stimulation (EES).
The coupled FHN neurons of different parameters admit unidirectional and bidirectional gap junctions in the medium between them.
Dynamical properties, such as the increase in synchronization error as a consequence of the deviation of neuronal parameters for unlike neurons, the effect of difference in coupling strengths caused by the unidirectional gap junctions, and the impact of large time-delay due to separation of neurons, are studied in exploring the behavior of the coupled system.
A novel integral-based nonlinear adaptive control scheme, to cope with the infeasibility of the recovery variable, for synchronization of two coupled delayed chaotic FHN neurons of different and unknown parameters under uncertain EES is derived.
Further, to guarantee robust synchronization of different neurons against disturbances, the proposed control methodology is modified to achieve the uniformly ultimately bounded synchronization.
The parametric estimation errors can be reduced by selecting suitable control parameters.
The effectiveness of the proposed control scheme is illustrated via numerical simulations.
American Psychological Association (APA)
Iqbal, Muhammad& Rehan, Muhammad& Khaliq, Abdul& Rehman, Saeed-ur-& Hong, Keum-Shik. 2014. Synchronization of Coupled Different Chaotic FitzHugh-Nagumo Neurons with Unknown Parameters under Communication-Direction-Dependent Coupling. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-466328
Modern Language Association (MLA)
Iqbal, Muhammad…[et al.]. Synchronization of Coupled Different Chaotic FitzHugh-Nagumo Neurons with Unknown Parameters under Communication-Direction-Dependent Coupling. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-466328
American Medical Association (AMA)
Iqbal, Muhammad& Rehan, Muhammad& Khaliq, Abdul& Rehman, Saeed-ur-& Hong, Keum-Shik. Synchronization of Coupled Different Chaotic FitzHugh-Nagumo Neurons with Unknown Parameters under Communication-Direction-Dependent Coupling. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-466328
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466328