Global chaos synchronization of coupled parametrically excited pendula

被引：3
|
作者：
Olusola, O. I. [1 ]
Vincent, U. E. [2 ,3 ,4 ]
Njah, A. N. [1 ]
机构：
[1] Univ Agr, Dept Phys, Abeokuta, Nigeria
[2] Tech Univ Clausthal, Dept Nonlinear Dynam & Stat Phys, Inst Theoret Phys, D-38678 Clausthal Zellerfeld, Germany
[3] Univ Lancaster, Dept Phys, Nonlinear Biomed Phys Div, Lancaster LA1 4YB, England
[4] Olabisi Onabanjo Univ, Dept Phys, Ago Iwoye, Nigeria
来源：
PRAMANA-JOURNAL OF PHYSICS | 2009年 / 73卷 / 06期
基金：
英国工程与自然科学研究理事会;
关键词：
Chaos; synchronization; boundary crisis; parametrically excited pendula; Lyapunov theory; linear matrix inequality; PHASE SYNCHRONIZATION; SPATIOTEMPORAL CHAOS; OSCILLATORS; DYNAMICS;
D O I：
10.1007/s12043-009-0163-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study the synchronization behaviour of two linearly coupled parametrically excited chaotic pendula. The stability of the synchronized state is examined using Lyapunov stability theory and linear matrix inequality (LMI); and some sufficient criteria for global asymptotic synchronization are derived from which an estimated critical coupling is determined. Numerical solutions are presented to verify the theoretical analysis. We also examined the transition to stable synchronous state and show that this corresponds to a boundary crisis of the chaotic attractor.
引用
收藏
页码：1011 / 1022
页数：12
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