期刊
NEURAL NETWORKS
卷 105, 期 -, 页码 26-35出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2018.04.009
关键词
Hindmarsh-Rose; Impulsive effect; Poincare map; Period-adding bifurcation; Chaos
资金
- National Key Research and Development Program of China [2016YFB0800601]
- National Natural Science Foundation of China [61472331, 61772434, 61503310]
Recently, the hybrid neuron models which combine the basic neuron models with impulsive effect(the state reset process) had been proposed, however, the preset value and the reset value of membrane potential were both fixed constants in the known models. In this paper, the Hindmarsh-Rose neuron model with nonlinear reset process is presented where the preset value and the reset value of membrane potential are variable constants. We conduct a qualitative analysis in the vicinity of the equilibrium point or the limit cycle of the proposed system by using the theories of impulsive semi-dynamical systems. Firstly, the more detailed impulsive set and phase set are given, then using the fixed point of Poincare map, the existences of order-1and order-k (k >= 2) period solutions are investigated subsequently. Furthermore, numerical investigations including period-adding bifurcation, multiple attractors coexistence, switch-like behavior are presented to further describe the bifurcation and chaos phenomena. Finally, the obtained results and possible applications of the proposed model are elaborated. (C) 2018 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据