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Chaos / Volume 22 / Issue 1 / REGULAR ARTICLES

Chaos 22, 013110 (2012); http://dx.doi.org/10.1063/1.3677253 (7 pages)

Theoretical analysis of multiplicative-noise-induced complete synchronization in global coupled dynamical network

Yuzhu Xiao1, Sufang Tang2, and Yong Xu3

1Department of Mathematics and Information Science, Chang’an University, Xi’an 710086, People’s Republic of China
2School of Statistics, Xi’an University of Finance and Economics, Xi’an 710100, People’s Republic of China
3Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, People’s Republic of China

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(Received 16 August 2011; accepted 23 December 2011; published online 24 January 2012)

In this paper, based on the theory of stochastic differential equation, we study the effect of noise on the synchronization of global coupled dynamical network, when noise presents in coupling term. The theoretical result shows that noise can really induce synchronization. To verify the theoretical result, Cellular Neural Network neural model and Rössler-like system are performed as numerical examples.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. THEORETICAL ANALYSIS
  3. NUMERICAL EXAMPLES
  4. CONCLUSION

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KEYWORDS and PACS

Keywords

chaos, complex networks, differential equations, neural nets, numerical analysis, stochastic processes, synchronisation

PACS

  • 05.45.Xt

    Synchronization; coupled oscillators

  • 05.90.+m

    Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05)

  • 02.30.Hq

    Ordinary differential equations

  • 02.50.Ey

    Stochastic processes

  • 02.60.Lj

    Ordinary and partial differential equations; boundary value problems

  • 05.10.Gg

    Stochastic analysis methods (Fokker-Planck, Langevin, etc.)

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3677253

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.
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    W. Lin and Y. He, Chaos 15, 023705 (2005)CHAOEH000015000002023705000001.

    W. Lin and G. Chen, Chaos 16, 013134 (2006)CHAOEH000016000001013134000001.

    Y. Xiao, W. Xu, X. Li, and S. Tang, Chaos 19, 013131 (2009)CHAOEH000019000001013131000001.

    I. A. Heisler, T. Braun, Y. Zhang, G. Hu, and H. A. Cerdeira, Chaos 13, 185 (2003)CHAOEH000013000001000185000001.


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