SYNCHRONIZATION OF COMPLEX-VARIABLE DYNAMICAL NETWORKS WITH COMPLEX COUPLING-Reference-Cited by-同舟云学术

SYNCHRONIZATION OF COMPLEX-VARIABLE DYNAMICAL NETWORKS WITH COMPLEX COUPLING

Published:2013-02 Issue:02 Volume:24 Page:1350007
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

WU ZHAOYAN¹,FU XINCHU²

Affiliation:

1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province, 330022, P. R. China

2. Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China

Abstract

In this paper, synchronization of complex-variable dynamical networks with complex coupling is investigated. An adaptive feedback control scheme is adopted to design controllers for achieving synchronization of a general network with both complex inner and outer couplings. For a network with only complex inner or outer coupling, pinning control and adaptive coupling strength methods are adopted to achieve synchronization under some assumptions. Several synchronization criteria are derived based on Lyapunov stability theory. Numerical simulations are provided to verify the effectiveness of the theoretical results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183113500071

Reference26 articles.

1. Synchronization in scale-free dynamical networks: robustness and fragility

2. Pinning control of scale-free dynamical networks

3. A new method to realize cluster synchronization in connected chaotic networks

4. Global Synchronization of Linearly Hybrid Coupled Networks with Time-Varying Delay

5. Synchronization in delayed map lattices with scale-free interactions

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