Chaos Nameplat
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

You Tube Flickr Twitter UniPHY Group iResearch App Facebook

Chaos / Volume 16 / Issue 1 / REGULAR ARTICLES

Chaos 16, 013133 (2006); http://dx.doi.org/10.1063/1.2178448 (6 pages)

Adaptive synchronization of neural networks with or without time-varying delay

Jinde Cao and Jianquan Lu

Department of Mathematics, Southeast University, Nanjing 210096, China

View MapView Map

(Received 4 October 2005; accepted 30 January 2006; published online 30 March 2006)

In this paper, based on the invariant principle of functional differential equations, a simple, analytical, and rigorous adaptive feedback scheme is proposed for the synchronization of almost all kinds of coupled identical neural networks with time-varying delay, which can be chaotic, periodic, etc. We do not assume that the concrete values of the connection weight matrix and the delayed connection weight matrix are known. We show that two coupled identical neural networks with or without time-varying delay can achieve synchronization by enhancing the coupling strength dynamically. The update gain of coupling strength can be properly chosen to adjust the speed of achieving synchronization. Also, it is quite robust against the effect of noise and simple to implement in practice. In addition, numerical simulations are given to show the effectiveness of the proposed synchronization method.

© 2006 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. NEURAL NETWORKS MODEL AND PRELIMINARIES
  3. ADAPTIVE SYNCHRONIZATION SCHEME
  4. ILLUSTRATIVE EXAMPLE
  5. CONCLUSION

RELATED DATABASES

To view database links for this article, you need to log in.

KEYWORDS and PACS

Keywords

synchronisation, chaos, feedback, differential equations, functional equations, neural nets, time-varying systems, delays, noise

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2178448

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    D. B. Huang, Phys. Rev. E 71, 037203 (2005).

    L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).

    J. G. Ojalvo and R. Roy, Phys. Rev. Lett. 86, 5204 (2001).

    K. Murali and M. Lakshmanan, Phys. Rev. E 49, 4882 (1994).

    E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).

    J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. Lett. 73, 3528 (1994).

    J. Q. Fang, Y. Hong, and G. R. Chen, Phys. Rev. E 59, R2523 (1999).

    C. D. Li, X. F. Liao, and X. Y. Zhang, Chaos 15, 023104 (2005)CHAOEH000015000002023104000001.

    F. T. Arecchi and S. Boccaletti, Chaos 7, 621 (1997)CHAOEH000007000004000621000001.

    X. F. Wang, Phys. Rev. E 65, 067202 (2002).

    D. B. Huang, Phys. Rev. Lett. 93, 214101 (2004).

    D. B. Huang, Phys. Rev. E 69, 067201 (2004).

    J. F. Heagl, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 52, R1253 (1995).

    D. J. Gauthier and J. C. Bienfang, Phys. Rev. Lett. 77, 1751 (1996).

    J. W. Shuai, K. W. Wong, and L. M. Cheng, Phys. Rev. E 56, 2272 (1997).

    C. S. Zhou and J. Kurths, Phys. Rev. Lett. 88, 230602 (2002).

    C. S. Zhou, J. Kurths, E. Allaria, S. Boccaletti, R. Meucci, and F. T. Arecchi, Phys. Rev. E 67, 015205 (2003).

    C. S. Zhou, J. Kurths, E. Allaria, S. Boccaletti, R. Meucci, and F. T. Arecchi, Phys. Rev. E 67, 066220 (2003).

    F. M. Atay, J. Jost, and A. Wende, Phys. Rev. Lett. 92, 144101 (2004).

    C. Masoller and A. C. Martí, Phys. Rev. Lett. 94, 134102 (2005).


For access to citing articles, you need to log in.


Figures (6)

Access to article objects (figures, tables, multimedia) requires a subscription; log in to view available files.
(Access to supplementary files, where available, is free for this journal.)



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Adaptive synchronization of neural networks with or without time-varying delay
  2. Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity
  3. Nonlinear time series analysis of normal and pathological human walking
  4. Transition to chemical turbulence
Go to AIP Home
Copyright © American Institute of Physics
close