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Desynchronization in synchronous multi-coupled chaotic neurons by mix-adaptive feedback control
1School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, People's Republic of China.
Abstract:
In this paper, by means of the invariance principle of differential equations, an adaptive feedback scheme is proposed to realize desynchronization in synchronous multi-coupled chaotic neurons by the mix-adaptive feedback effectively. Numerical simulations for the Hindmarsh-Rose neural model with self-coupling are illustrated which agree well with our theoretical analysis. It is observed that the feedback strengths asymptotically converge to a local fixed value in finite time, especially for linear coupling chaotic neurons with self-coupling. Furthermore, robustness of desynchronization in three coupled chaotic neurons on small mismatch of parameters is shown.
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