【摘 要】
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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
【机 构】
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Key Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongq
【出 处】
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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)
论文部分内容阅读
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.
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