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Existence and Stability of Periodic Solution for Impulsive Hopfield Cellular Neural Networks with Time Delays

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Advances in Computer Science, Environment, Ecoinformatics, and Education (CSEE 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 216))

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Abstract

As an important tool to study practical problems of biology, engineering and image processing, the cellular neural networks (CNNs) has caused more and more attention. Some interesting results about the existence of solution for cellular neural networks have been obtained. In this paper, by means of iterative analysis, the existence of periodic solution and the uniform stability of the equilibrium point of impulsive Hopfield cellular neural networks with time delays are considered. Some new results are obtained.

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References

  1. Chua, L.O., Yang, L.: IEEE Trans. Circuits and Syst. 35, 1257 (1988)

    Article  MathSciNet  Google Scholar 

  2. Yang, Y.Q., Cao, J.D.: Nonl. Anal.: Real Word Appl. 8, 362 (2007)

    Article  MathSciNet  Google Scholar 

  3. Venetianer, P.L., Roska, T.: IEEE Trans. Circuits Syst. 45, 205 (1998)

    Article  Google Scholar 

  4. Akca, H., Alassar, R., Covachev, V., Covachev, Z., Zahrani, E.A.: J. Math. Anal. Appl. 290, 436 (2004)

    Article  MathSciNet  Google Scholar 

  5. Guan, Z., Chen, G.: Neural Networks 12, 273 (1999)

    Article  Google Scholar 

  6. Gopalsamy, K.: Appl. Math. Comput. 154, 783 (2004)

    MathSciNet  Google Scholar 

  7. Lakshmikantham, V., Bainov, D.D., Simeonov, P.S.: Theory of Impulsive Differential Equations. World Scientific, Singapore (1989)

    Book  MATH  Google Scholar 

  8. Bainov, D.D., Simeonov, P.S.: Impulsive Differential Equations: Periodic Solutions and Applications. Longman, Harlow (1993)

    MATH  Google Scholar 

  9. Nieto, J.J.: J. Math. Anal. Appl. 205, 423 (1997)

    Article  MathSciNet  Google Scholar 

  10. Li, Y.K., Lu, L.H.: Appl. Phys. Lett. A 333, 62 (2004)

    Article  Google Scholar 

  11. Zhang, L.L., Liu, A.P., Chang, T., He, L.H.: Annals of Diff. Equ. 23, 581 (2007)

    MathSciNet  Google Scholar 

  12. Zhang, L.L., Liu, A.P., Li, H.J., Tang, Q.: In: Guo, M.Z., Zhao, L., Wang, L.B. (eds.) Fourth International Conference on Natural Computation. Neural Network Architectures. IEEE Computer Society, Los Alamitos (2008)

    Google Scholar 

  13. Zhang, L.L., Liu, A.P., Zou, M., Ma, Q.X.: In: Chen, W., Li, S.Z., Wang, Y.L. (eds.) Proceedings 2009 IEEE International Conference on Intelligent Computing and Intelligent Systems, vol. 1. IEEE Computer Society, Los Alamitos (2009)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Basic Course, Haikou College of Economics, Haikou, 570203, China

    Linli Zhang

  2. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China

    Anping Liu & Li Xiao

Authors
  1. Linli Zhang
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  2. Anping Liu
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  3. Li Xiao
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Editor information

Editors and Affiliations

  1. International Science & Education Researcher Association, Wuhan Branch, No.1, Jiangxia Road, Wuhan, China

    Song Lin  & Xiong Huang  & 

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© 2011 Springer-Verlag Berlin Heidelberg

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Zhang, L., Liu, A., Xiao, L. (2011). Existence and Stability of Periodic Solution for Impulsive Hopfield Cellular Neural Networks with Time Delays. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23345-6_59

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  • DOI: https://doi.org/10.1007/978-3-642-23345-6_59

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23344-9

  • Online ISBN: 978-3-642-23345-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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