Modified function projective combination synchronization of hyperchaotic systems

被引:0
|
作者
K SEBASTIAN SUDHEER
M SABIR
机构
[1] University of Calicut,Department of Physics, Christ College, Irinjalakuda
[2] Cochin University of Science and Technology,Department of Physics
来源
Pramana | 2017年 / 88卷
关键词
Combination hyperchaotic system; modified function projective combination synchronization; adaptive control; hyperchaotic Lorenz system; hyperchaotic Lu system; Lyapunov stability theory.; 05.45.Ac; 05.45.Pq; 05.45.Xt;
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摘要
In this work, a novel combination synchronization scheme in which synchronization of a new combination hyperchaotic drive system formed by combining state variables of the original drive system with appropriate scaling factors with a response hyperchaotic system is considered. A self-combination system is constructed from hyperchaotic Lorenz system by combining state variables of the Lorenz system with appropriate scaling factors. Modified function projective synchronization between the newly constructed combination hyperchaotic Lorenz system and hyperchaotic Lu system is investigated using adaptive method. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the state of two systems as modified function projective synchronized. Numerical simulations are done to show the validity and effectiveness of the proposed synchronization scheme.
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