On hyperchaos in a small memristive neural network

摘要：

　　This paper studies a small Hopfield neural network with a memristive synaptic weight.We show that the previous stable network after one weight replaced by a memristor can exhibit rich complex dynamics, such as quasi-periodic orbits, chaos, and hyperchaos, which suggests that the memristor is crucial to the behaviors of neural networks and may play a significant role.We also prove the existence of a saddle periodic orbit, and then present computer-assisted verification of hyperchaos through a homoclinic intersection of the stable and unstable manifolds, which gives a positive answer to an interesting question that whether a 4D memristive system with a line of equilibria can demonstrate hyperchaos.

关键词： Hyperchaos Homoclinic intersection Small neural networks Memristor

作者: Qingdu Li Song Tang Hongzheng Zeng Tingting Zhou

作者单位: Key Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongq Research Center of Analysis and Control for Complex Systems, Chongqing University of Posts and Telec

会议类型: 国内会议

会议名称: 西南大学2014年全国博士生学术论坛(电子技术与信息科学领域)

会议地点: 重庆

会议语种:英文

页码: 321-333

在线出版日期: 2014-12-01（万方平台首次上网日期，不代表论文的发表时间）