Skip to main content
SpringerLink
Log in

Existence of Periodic Solutions for Cohen-Grossberg Neural Networks with Time-Varying Delays and Impulses

  • Conference paper
Advances in Neural Networks – ISNN 2011 (ISNN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6675))

Included in the following conference series:

  • 1839 Accesses

Abstract

By using the continuation theorem of Mawhin’s coincidence degree theory, some new sufficient conditions are obtained for the existence of periodic solution of higher-order Cohen-Grossberg type neural networks with variable delays and impulses, moreover, the monotonicity and smoothness of activation function are not assumed in this paper.

This work is supported by the National Science Foundation of China under grant 10801113, Shandong Province Natural Science Foundation under Grant number R2010AM012.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cohen, M.A., Grossberg, S.: Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybern. (13), 815–821 (1983)

    Google Scholar 

  2. Bainov, D.D., Simeonov, P.S.: Stability Theory of Differential Equations with Impulse Effects: Theory and Applications. Ellis Horwood, Chichester (1989)

    MATH  Google Scholar 

  3. Bai, C.Z.: Global exponential stability and existence of periodic solution of Cohen-Grossberg type neural networks with delays and impulses. Nonlinear Analysis, RWA (9), 747–761 (2008)

    Google Scholar 

  4. Li, Y.K.: Existence and stability of periodic solutions for Cohen-Grossberg neural networks with igh-order BAM neural networks with time-varying delays. Neural Networks (19), 1581–1590 (2006)

    Google Scholar 

  5. Liu, B.W., Huang, L.H.: Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays. Chaos Solitons and Fractals (32), 617–627 (2007)

    Google Scholar 

  6. Jiang, H.J., Cao, J.D.: BAM-type Cohen-Grossberg neural networks with time delays. Mathematical and Computer Modelling (47), 92–103 (2008)

    Google Scholar 

  7. Liu, J.: Stability of Cohen-Grossberg Neural Networks with time-varying delay. Chinese Journal of Engineering Mathematics 26(2), 243–250 (2009)

    MathSciNet  Google Scholar 

  8. Gaines, R.E., Mawhin, J.L.: Coincidence Degree and Nonlinear Differential Equations. Springer, New York (1977)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics and Information, Yantai University, Yantai, Shandong, 264005, P.R. China

    Chunxue Wu

Authors
  1. Chunxue Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Automation, Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, 100190, Beijing, China

    Derong Liu

  2. College of Information Science and Engineering, Shenyang, Northeastern University, 110004, Liaoing, China

    Huaguang Zhang

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios Polycarpou

  4. Dipartimento di Elettronica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy

    Cesare Alippi

  5. Deptartment of Electrical, Computer and Biomedical Engineering, University of Rhode Island, RI 02881, Kingston, USA

    Haibo He

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wu, C. (2011). Existence of Periodic Solutions for Cohen-Grossberg Neural Networks with Time-Varying Delays and Impulses. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_60

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21105-8_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21104-1

  • Online ISBN: 978-3-642-21105-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation