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Stability and Hopf Bifurcation of a BAM Neural Network with Delayed Self-feedback

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Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

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Abstract

In this paper, we consider a bidirectional associate memory(BAM) neural networks with delayed self-feedback. Regarding the self-connection delay as the bifurcation parameter, the linear stability and Hopf bifurcation analysis are carried out. The stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold reduction. Numerical simulation results are given to support the theoretical predictions.

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References

  1. Hopfield, J.J.: Neurons with Graded Response Have Collective Computational Properties Like Those of Two-state Neurons. J. Proc. Natl. Acad. Sci. USA 81, 3088–3092 (1984)

    Article  Google Scholar 

  2. Marcus, C.M., Westervelt, R.M.: Stability of Analog Neural Network with Delay. J. Phys. Rev. A 39, 347–359 (1989)

    Article  MathSciNet  Google Scholar 

  3. Wang, L., Zou, X.: Hopf Bifurcation in Bidirectional Associative Memory Neural Networks with Delays: Analysis and Computation. J. Comput. Appl. Math. 167, 73–90 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  4. Song, Y., Han, M., Wei, J.: Stability and Hopf Bifurcation on a Simplified BAM Neural Network with Delays. J. Physics D 200, 185–204 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Driessche, V.D., Wu, P.: Stabilization Role of Inhibitory Self-connections in a Delayed Neural Network. J. Physics D 150, 84–90 (2001)

    Article  MATH  Google Scholar 

  6. Wang, L.: Stabilizing Hopfield Neural Networks via Inhibitory Self-connections. J. Math. Anal. Appl. 292, 135–147 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  7. Hassard, B.D., Kazarinoff, N.D., Wan, Y.H.: Theory and Applications of Hopf Bifurcation. Cambridge University Press, Cambridge (1981)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. College of Automation Science and Engineering, South China University of Technology, Guangzhou, 510640, China

    Shifang Kuang & Feiqi Deng

  2. College of Mathematics and Computer, Hunan Normal University, Changsha, 410081, China

    Xuemei Li

Authors
  1. Shifang Kuang
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  2. Feiqi Deng
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  3. Xuemei Li
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Liqing Zhang

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800, Dongchuan Road, 200240, Shanghai, China

    Bao-Liang Lu

  3. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water bay, Kowloon, Hong Kong, China

    James Kwok

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© 2010 Springer-Verlag Berlin Heidelberg

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Kuang, S., Deng, F., Li, X. (2010). Stability and Hopf Bifurcation of a BAM Neural Network with Delayed Self-feedback. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_63

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  • DOI: https://doi.org/10.1007/978-3-642-13278-0_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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