Global chaos synchronization of coupled parametrically excited pendula

Pramana

O I Olusola1¹  U E Vincent2 3 4²  A N Njah1¹ 

[1] Department of Physics, University of Agriculture, P.M.B. 2240, Abeokuta, Nigeria$$;Department of Nonlinear Dynamics and Statistical Physics, Institute of Theoretical Physics, Technical University of Clausthal, Arnold-Sommer Str. 6, 38678 Clausthal-Zellerfeld, Germany$$

关键词: Chaos;    synchronization;    boundary crisis;    parametrically excited pendula;    Lyapunov theory;    linear matrix inequality.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

Unknown