期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 17, 期 6, 页码 2659-2669出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2011.10.029
关键词
Josephson junction; Tracking control; Hindmarsh-Rose; Neuron
类别
资金
- National Nature Science Foundation of China [11005026]
- Educational Tutors Fund projects of Gansu Province [1010ZTC088]
The chaotic circuit of resistive-capacitive-inductive-shunted Josephson junction is used to simulate behavior of Hindmarsh-Rose neuronal discharges. Based on tracking control theory, the controller contains two gain coefficients was constructed to control the chaotic system of Josephson junction to synchronize the chaotic Hindmarsh-Rose system, and the single controller was approached analytically. The results confirmed that the controller with appropriate gain coefficients was effective to reach complete synchronization (the amplitudes and rhythms of two systems are identical), phase synchronization (rhythms of two systems are identical) of Josephson junction and Hindmarsh-Rose neurons, respectively. The power consumption is estimated in a feasible way. As a result, the electric activities of Hindmarsh-Rose neurons could be simulated by using Josephson junction model completely. (C) 2011 Elsevier B.V. All rights reserved.
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