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- Title
Chaotic synchronization of time-delay coupled Hindmarsh-Rose neurons via nonlinear control.
- Authors
Hettiarachchi, Imali; Lakshmanan, S.; Bhatti, Asim; Lim, C.; Prakash, M.; Balasubramaniam, P.; Nahavandi, Saeid
- Abstract
Chaotic synchronization of two time-delay coupled Hindmarsh-Rose neurons via nonlinear control is investigated in this paper. Both the intrinsic slow current delay in a single Hindmarsh-Rose neuron and the coupling delay between the two neurons are considered. When there is no control, chaotic synchronization occurs for a limited range of the coupling strength and the time-delay values. To obtain complete chaotic synchronization irrespective of the time-delay or the coupling strength, we propose two nonlinear control schemes. The first uses adaptive control for chaotic synchronization of two electrically coupled delayed Hindmarsh-Rose neuron models. The second derives the sufficient conditions to ensure a complete synchronization between master and slave models through appropriate Lyapunov-Krasovskii functionals and the linear matrix inequality technique. Numerical simulations are carried out to show the effectiveness of the proposed methods.
- Subjects
CHAOS synchronization; NONLINEAR control theory; LINEAR matrix inequalities; COMPUTER simulation; ELECTROENCEPHALOGRAPHY
- Publication
Nonlinear Dynamics, 2016, Vol 86, Issue 2, p1249
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-016-2961-4