Global generalized synchronization in networks of different time-delay systems

被引：7
|
作者：
Senthilkumar, D. V. [1 ]
Suresh, R. [2 ]
Lakshmanan, M. [2 ]
Kurths, J. [1 ,3 ,4 ]
机构：
[1] Potsdam Inst Climate Impact Res, D-14473 Potsdam, Germany
[2] Bharathidasan Univ, Sch Phys, Ctr Nonlinear Dynam, Tiruchirappalli 620024, Tamil Nadu, India
[3] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
[4] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3UE, Scotland
来源：
EPL | 2013年 / 103卷 / 05期
关键词：
CHAOS;
D O I：
10.1209/0295-5075/103/50010
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that global generalized synchronization (GS) exists in structurally different time-delay systems, even with different orders, with quite different fractal (Kaplan-Yorke) dimensions, which emerges via partial GS in symmetrically coupled regular networks. We find that there exists a smooth transformation in such systems, which maps them to a common GS manifold as corroborated by their maximal transverse Lyapunov exponent. In addition, an analytical stability condition using the Krasvoskii-Lyapunov theory is deduced. This phenomenon of GS in strongly distinct systems opens a new way for an effective control of pathological synchronous activity by means of extremely small perturbations to appropriate variables in the synchronization manifold. Copyright (C) EPLA, 2013
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页数：6
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