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Application of Local Activity Theory of Cellular Neural Network to the Chen’s System

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Advances in Neural Networks - ISNN 2008 (ISNN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5264))

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Abstract

The local activity theory introduced by Chua has provided a new tool for studying the complexity of high dimensional coupled nonlinear differential systems, in particular for reaction- diffusion cellular neural networks(R-D CNNs). In this paper some criteria for the local activity theory range from one-port to three-port cellular neural network cells with three local state variables are applied to Chen’s system. Numerical simulations show that the dynamic behaviors of the Chen’s CNN with one,two or three ports have the similar characteristics.

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Author information

Authors and Affiliations

  1. Applied Science School, University of Science and Technology Beijing, Beijing, 100083, PR China

    Danling Wang, Lequan Min & Yu Ji

Authors
  1. Danling Wang
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  2. Lequan Min
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  3. Yu Ji
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Technology, Tsinghu University, 100084, Beijing, China

    Fuchun Sun

  2. Institute TAMS (Technical Aspects of Multimodal Systems), department of Informatics, University of Hamburg, Vogt-Koelln-Straße 30, 22527, Hamburg, Germany

    Jianwei Zhang

  3. Intel China Research Center, 8/F, Peking University, Department of Machine Intelligence, 100871, Beijing, China

    Ying Tan

  4. Department of Mathematics, Southeast University, 210096, Nanjing, China

    Jinde Cao

  5. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

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© 2008 Springer-Verlag Berlin Heidelberg

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Wang, D., Min, L., Ji, Y. (2008). Application of Local Activity Theory of Cellular Neural Network to the Chen’s System. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87734-9_79

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  • DOI: https://doi.org/10.1007/978-3-540-87734-9_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87733-2

  • Online ISBN: 978-3-540-87734-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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