Adaptive reduced-order function projective synchronization and circuit design of hyperchaotic DLE with no equilibria

被引：0
|
作者：
Wei, Zhouchao [1 ]
Tang, Yanxia [2 ]
Chen, Huai [3 ]
Pehlivan, Ihsan [4 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
[2] Hebei North Univ, Coll Sci, Dept Math, Zhangjiakou 075000, Peoples R China
[3] China Univ Geosci, Fac Earth Sci, Wuhan 430074, Peoples R China
[4] Sakarya Univ, Dept Elect & Elect Engn, TR-54187 Sakarya, Turkey
来源：
OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS | 2013年 / 7卷 / 11-12期
关键词：
Hyperchaotic attractors; Reduced-order; Projective synchronization; Lyapunov exponent; Lyapunov stability theorem; Circuit implementation; SPROTT C SYSTEM; CHAOTIC SYSTEM; ANTI-SYNCHRONIZATION; DYNAMICAL ANALYSIS;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
By introducing a feedback control to a classic DLE system (diffusionless Lorenz equations), an extremely complex hyperchaotic attractor with no equilibria is derived. Based on adaptive control and Lyapunov stability theory, we design a reduced-order projective synchronization scheme for synchronizing the hyperchaotic DLE coexist with no equilibria and the 3-D chaotic Wang-Chen system coexist with one stable equilibrium, which both do not meet the Sil'nikov criteria. Finally, numerical simulations are given to illustrate the effectiveness of the proposed synchronization scheme, and then its circuit implementation is included as real applications.
引用
收藏
页码：984 / 990
页数：7
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