On hyperchaos in a small memristive neural network
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.
Hyperchaos Homoclinic intersection Small neural networks Memristor
Qingdu Li Song Tang Hongzheng Zeng Tingting Zhou
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
国内会议
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)
重庆
英文
321-333
2014-12-01(万方平台首次上网日期,不代表论文的发表时间)