Chaotic synchronization of time-delay coupled Hindmarsh-Rose neurons via nonlinear control

被引：30
作者：
Hettiarachchi, Imali T. [1 ]
Lakshmanan, S. [1 ]
Bhatti, Asim [1 ]
Lim, C. P. [1 ]
Prakash, M. [2 ]
Balasubramaniam, P. [3 ]
Nahavandi, Saeid [1 ]
机构：
[1] Deakin Univ, Inst Intelligent Syst Res & Innovat, Waurn Ponds Campus, Melbourne, Vic, Australia
[2] Bannari Amman Inst Technol, Dept Math, Sathyamangalam 638401, Tamil Nadu, India
[3] Deemed Univ, Dept Math, Gandhigram Rural Inst, Gandhigram 624302, Tamil Nadu, India
来源：
NONLINEAR DYNAMICS | 2016年 / 86卷 / 02期
关键词：
Hindmarsh-Rose Neuron; Chaotic synchronization; Nonlinear control; Linear matrix inequality; LAG SYNCHRONIZATION; NEURAL-NETWORKS; PHASE SYNCHRONIZATION; TRANSITION; DYNAMICS; MODELS;
D O I：
10.1007/s11071-016-2961-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
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.
引用
收藏
页码：1249 / 1262
页数：14
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