Chaotic invariant sets of a delayed discrete neural network of two non-identical neurons

• 作 者: CHEN YuanLong HUANG Yu ZOU Xin
• 机 构: DepartmentofAppliedMathematics,DepartmentofMathematics,DepartmentofAppliedMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 2013年9期
• 关键词: 离散神经网络 不变集 神经元 离散HOPFIELD神经网络 混沌 延迟 等效系统 拓扑共轭 neural network Devaney chaos dis
• 基金项目: National Natural Science Foundation of China （Grant Nos. 11071263 and 11201504）, the Natural Sciences and Engineering Research Council of Canada （Grant No. 227048-2010）

In this paper, we show that a delayed discrete Hopfield neural network of two nonidentical neurons with no self-connections can demonstrate chaotic behavior in a region away from the origin. To this end, we first transform the model, by a novel way, into