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Almost Automorphic Sequences and Their Application to a Model of a Cellular Neural Network

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Theory and Applications of Difference Equations and Discrete Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 102))

Abstract

In this paper we show the almost automorphic sequence solution of a model of a cellular neural networks with piecewise constant argument. We convert the model into a corresponding difference equation model and then show the existence and global attractivity of solutions.

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Acknowledgments

This work is supported by the project “ITM/SG/SAB/001”.

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Authors and Affiliations

  1. School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, 175001, India

    Syed Abbas

Authors
  1. Syed Abbas
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Correspondence to Syed Abbas .

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Editors and Affiliations

  1. Sultan Qaboos University Dept. of Math. and Statistics, Muscat, Oman

    Ziyad AlSharawi

  2. University of Arizona Dept. of Mathematics, Tucson, Arizona, USA

    Jim M. Cushing

  3. Trinity University Dept. of Mathematics, San Antonio, Texas, USA

    Saber Elaydi

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Abbas, S. (2014). Almost Automorphic Sequences and Their Application to a Model of a Cellular Neural Network. In: AlSharawi, Z., Cushing, J., Elaydi, S. (eds) Theory and Applications of Difference Equations and Discrete Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44140-4_5

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