Adaptive synchronization in complex networks through nonlinearly coupling

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (10): 25-28.

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Adaptive synchronization in complex networks through nonlinearly coupling

LIANG Yi1，2, WANG Xingyuan1

1.Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China
2.Department of Electronics and Information Engineering, Yili Normal College, Yining, Xinjiang 835000, China

Online:2012-04-01 Published:2012-04-11

非线性耦合的复杂网络自适应同步

梁义1，2，王兴元1

1.大连理工大学电子信息与电气工程学部，辽宁大连 116024
2.伊犁师范学院电子与信息工程学院，新疆伊宁 835000

Abstract

Abstract: In this paper, one adaptive synchronization scheme in complex networks is presented through nonlinearly coupling, whose adaptive law is simple and practical, and application scope is broader. The asymptotic stability of the synchronization is proven for the adaptive synchronization scheme by using Lyapunov stability theory. Two numerical simulations show the effectiveness of the scheme in a scale-free network and a nearest-neighbor coupled network.

Key words: complex networks, adaptive synchronization, nonlinearly coupling

摘要： 提出了一种通过非线性耦合的复杂网络自适应同步方案，方案具有自适应律简单和应用范围广等特点。证明了动力系统满足给定条件下，该同步方案同步，且同步解是局部和全局渐进稳定的。两个计算机仿真实例分别展示了在无标度网络和最近邻耦合网络上的同步误差变化趋势，验证了同步方案的有效性。

关键词: 复杂网络, 自适应同步, 非线性耦合

LIANG Yi1，2, WANG Xingyuan1. Adaptive synchronization in complex networks through nonlinearly coupling[J]. Computer Engineering and Applications, 2012, 48(10): 25-28.

梁义1，2，王兴元1. 非线性耦合的复杂网络自适应同步[J]. 计算机工程与应用, 2012, 48(10): 25-28.

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Adaptive synchronization in complex networks through nonlinearly coupling

非线性耦合的复杂网络自适应同步

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