离散时间细胞神经网络中的混沌

Proceedings of the Third IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA-94) Pub Date : 1994-12-18 DOI:10.1109/CNNA.1994.381663

Chunmei Yang, Ta-lun Yang, Kangming Zhang

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引用次数: 3

摘要

研究离散时间细胞神经网络(DTCNN)的准周期和混沌问题。在2单元自治DTCNN中，提出了周期运动和准周期运动的理论。混沌存在于2单元和3单元自治和非自治DTCNNs中。给出了奇异吸引子的结构。用分岔图描述了DTCNNs从周期运动到混沌的转变过程。在3细胞DTCNN中也发现了具有2个分离分支的奇怪吸引子

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Chaos in the discrete time cellular neural networks

The quasi-period and chaos in discrete time cellular neural networks (DTCNN) are studied in this paper. In a 2-cell autonomous DTCNN, theories for periodic and quasi-periodic motions are presented. Chaos is found in 2 and 3-cell autonomous and nonautonomous DTCNNs. The structures of the strange attractors are shown. The bifurcation diagrams are used to show the transition procedures of the DTCNNs from the periodic motion to chaos. A strange attractor with 2 separated branches is also found in a 3-cell DTCNN.<>

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Proceedings of the Third IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA-94)

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