On Control of Hopf Bifurcation in BAM Neural Network with Delayed Self-feedback

  • Min Xiao
  • Jinde Cao
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3971)


In this paper, the control of Hopf bifurcations in BAM neural network with delayed self-feedback is presented. The asymptotic stability theorem and the relevant corollary for linearized nonlinear dynamical systems are stated. For BAM neural network with delayed self-feedback, a control model based on washout filter is proposed and analyzed. By applying the stability lemma, we investigate the stability of the control system and state the relevant theorem for choosing the parameters of the stabilized control system. Some numerical results are also given to illustrate the correctness of our results.


Hopf Bifurcation Exponential Stability Bidirectional Associate Memorial Arbitrary Real Number Bidirectional Associate Memorial Neural Network 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Min Xiao
    • 1
    • 2
  • Jinde Cao
    • 1
  1. 1.Department of MathematicsSoutheast UniversityNanjingChina
  2. 2.Department of MathematicsNanjing Xiaozhuang CollegeNanjingChina

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