Adaptive synchronization of time delay Hindmarsh-Rose neuron system via self-feedback

作者：Shi Xuerong; Wang Zuolei^*

来源：Nonlinear Dynamics, 2012, 69(4): 2147-2153.

DOI：10.1007/s11071-012-0415-1

• Synchronization
• Hindmarsh-Rose system
• Time delay
• Self-feedback
• Chaotic bursting
• Linear adaptive control

Synchronization of two mismatched time delay Hindmarsh-Rose neuron systems with self-feedback is investigated. Based on the Lyapunov stability theory and the adaptive control theory, a linear adaptive feedback controller and parameter estimation update law are proposed, and the sufficient conditions for synchronization of the two mismatched systems with chaotic bursting behavior are obtained. The correctness of the proposed methods is rigorously demonstrated. Finally, numerical simulations are employed to verify the effectiveness of the proposed scheme.

• 出版日期2012-9
• 单位盐城师范学院