Synchronization of chaotic dynamical systems

被引：3
|
作者：
Joshi, Shyam K. [1 ]
机构：
[1] IIT Delhi, Dept Elect Engn, New Delhi, India
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2021年 / 9卷 / 03期
关键词：
Synchronization; Coupled systems; Lorenz attractor; Rossler attractor; Non-smooth Lyapunov function; ROSSLER SYSTEM; GENERALIZED SYNCHRONIZATION; HOMOCLINIC BIFURCATION; TRANSITIVE ATTRACTOR; NEURAL-NETWORKS; MULTISTABILITY; OSCILLATORS; COMMUNICATION; STABILITY; EQUATION;
D O I：
10.1007/s40435-020-00739-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Chaotic dynamical systems produce signals with unpredictable complexity. Their essential characteristic is that it does not synchronize with any other system. However, they can synchronize provided the sufficiently large coupling is introduced between them. In the present work, the Lyapunov stability analysis has been carried out using non-smooth Lyapunov function to obtain sufficient coupling gain for synchronization. The Mathematical investigations have been done independently for all-to-all coupled Lorenz attractors and all-to-all coupled Rossler attractors. The results in each case are confirmed through numerical simulations.
引用
收藏
页码：1285 / 1302
页数：18
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