Analysis and adaptive synchronization for a new chaotic system

被引：11
|
作者：
Zhang, Xuebing [1 ]
Zhu, Honglan [2 ]
Yao, Hongxing [3 ]
机构：
[1] Huaian Coll Informat Technol, Dept Basic Course, Huaian, Jiangsu, Peoples R China
[2] Huaiyin Inst Technol, Fac Sci Math & Phys, Huaian, Jiangsu, Peoples R China
[3] Jiangsu Univ, Fac Sci, Zhenjiang, Jiangsu, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2012年 / 18卷 / 04期
基金：
中国国家自然科学基金;
关键词：
New chaotic system; Lyapunov exponents; Poincare maps; Synchronization; OBSERVER DESIGN; ATTRACTOR; FEEDBACK; PARAMETER;
D O I：
10.1007/s10883-012-9155-2
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a new three-dimensional autonomous chaotic system is presented. There are three control parameters and three different nonlinear terms in the governed equations. The new chaotic system has six equilibrium points. Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation. The nonlinear characteristic of the new chaotic system are demonstrated in terms of equilibria, Jacobian matrices, Lyapunov exponents, a dissipative system, Poincar, maps and bifurcations. Then, an adaptive control law is derived to make the states of two identical chaotic systems asymptotically synchronized based on the Lyapunov stability theory. Finally, a numerical simulation is presented to verify the effectiveness of the proposed synchronization scheme.
引用
收藏
页码：467 / 477
页数：11
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