期刊
NONLINEAR DYNAMICS
卷 78, 期 2, 页码 1087-1099出版社
SPRINGER
DOI: 10.1007/s11071-014-1498-7
关键词
Hyperchaos; Homoclinic intersection; Small neural networks; Memristor
资金
- National Natural Science Foundation of China [61104150]
- Science Fund for Distinguished Young Scholars of Chongqing [cstc2013jcyjjq40001]
- Science and Technology Project of Chongqing Education Commission [KJ130517]
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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