Advertisement

A New Result of Periodic Oscillations for a Six-Neuron BAM Neural Network Model

  • Chunhua Feng
  • Yuanhua Lin
Part of the Communications in Computer and Information Science book series (CCIS, volume 375)

Abstract

This paper discusses the existence of periodic solutions in a six neurons BAM network model. By means of Chafee’s criterion of limit cycle, some sufficient conditions to guarantee the existence of periodic solutions for the system are provided. Computer simulations verify the correctness of the results.

Keywords

BAM network model equilibrium periodic solution 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Cao, J., Xiao, M.: Stability and Hopf Bifurcation in A Simplified BAM Neural Network with Two Time Delays. IEEE Trans. Neural Networks 18, 416–430 (2007)CrossRefGoogle Scholar
  2. 2.
    Yu, W., Cao, J.: Stability and Hopf Bifurcation on A Four-neuron BAM Neural Network with Delays. Phys. Lett. A 351, 64–78 (2006)zbMATHCrossRefGoogle Scholar
  3. 3.
    Sun, C., Han, M., Pang, X.: Global Hopf Bifurcation on A BAM Neural Network with Delays. Phys. Lett. A 360, 689–695 (2007)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Xu, C., Tang, X., Liao, M.: Stability and Bifurcation Analysis of A Six-neuron BAM Neural Network Model with Discrete Delays. Neurocomputing 74, 689–707 (2011)CrossRefGoogle Scholar
  5. 5.
    Zhang, C., Zheng, B., Wang, L.: Multiple Hopf Bifurcations of Symmetric BAM Neural Network Model with Delay. Applied Mathematics Letters 22, 616–622 (2009)MathSciNetzbMATHCrossRefGoogle Scholar
  6. 6.
    Xu, C., He, X., Li, P.: Global Existence of Periodic Solutions in A Six-neuron BAM Neural Network Model with Discrete Delays. Neurocomputing 74, 3257–3267 (2011)CrossRefGoogle Scholar
  7. 7.
    Shao, Y., Dai, B.: The Existence of Exponential Periodic Attractor of Impulsive BAM Neural Network with Periodic Coefficients And Distributed Delays. Neurocomputing 73, 3123–3131 (2010)CrossRefGoogle Scholar
  8. 8.
    Syed Ali, M., Balasubramaniam, P.: Robust Stability of Uncertain Fuzzy Cohen-Grossberg BAM Neural Networks with Time-varying Delays. Expert Systems with Applications 36, 10583–10588 (2009)CrossRefGoogle Scholar
  9. 9.
    Wang, Q., Cao, C., Zu, H.: A New Model Based on Grey Theory And Neural Network Algorithm for Evaluation of AIDS Clinical Trial, Adv. Comput. Math. Appl. 2, 292–297 (2013)Google Scholar
  10. 10.
    Chafee, N.: A Bifurcation Problem for A Functional Differential Equation of Finitely Retarded Type. J. Math. Anal. Appl. 35, 312–348 (1971)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Chunhua Feng
    • 1
  • Yuanhua Lin
    • 2
  1. 1.College of Mathematical ScienceGuangxi Normal UniversityGuilin541004
  2. 2.Department of MathematicsHechi UniversityYizhou546300

Personalised recommendations