title: Desynchronization in synchronous multi-coupled chaotic neurons by mix-adaptive feedback control.
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.
authors.affiliation: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, People's Republic of China.
authors.forename: Yong
authors.initials: Y
authors.lastname: Zhao
authors.forename: Zhaosheng
authors.initials: Z
authors.lastname: Feng
mesh_terms: D000222:Adaptation, Physiological; D000818:Animals; D025461:Feedback, Physiological; D006801:Humans; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics