Circuit experimentation for a complicated hyperchaotic Lu system

被引:3
作者
Liu Yang-Zheng [1 ,2 ]
Jiang Chang-Sheng [1 ]
Li Xin-Chao [2 ]
Sun Han [2 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China
[2] Nanjing Inst Technol, Inst Nonlinear Phys, Nanjing 211167, Peoples R China
基金
中国国家自然科学基金;
关键词
hyperchaotic Lu system; switchable; bifurcation diagram; circuit experiment;
D O I
10.7498/aps.57.6808
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A four-dimensional interrelated and switchable Lu hyperchaotic system is built by adding an additional state into the three-dimensional LU chaotic system. When subsystems are hyperchaotic, an identical system parameter is determined according to the bifurcation diagrams of these subsystems. Some of its basic dynamical properties are studied detailedly, such as the feature of equilibrium, the phase portraits of hyperchaotic attractor, the Lyapunov exponent and fractal dimension. A practical circuit is designed to realize these systems. Experimental result shows the effectiveness and feasibility of the theoretical analysis and verifies the behavior of various attractors.
引用
收藏
页码:6808 / 6814
页数:7
相关论文
共 28 条
[1]   Four-dimensional switchable hyperchaotic system [J].
Ju, Yang-Zheng ;
Jiang, Chang-Sheng ;
Lin, Chang-Sheng ;
Sun, Han .
ACTA PHYSICA SINICA, 2007, 56 (09) :5131-5135
[2]   A new chaotic attractor [J].
Liu, CX ;
Liu, T ;
Liu, L ;
Liu, K .
CHAOS SOLITONS & FRACTALS, 2004, 22 (05) :1031-1038
[3]   A new chaotic system and its circuit emulation [J].
Liu Ling ;
Su Yan-Chen ;
Liu Chong-Xin .
ACTA PHYSICA SINICA, 2006, 55 (08) :3933-3937
[4]   A class of switchable 3D chaotic systems [J].
Liu Yang-Zheng ;
Jiang Chang-Sheng ;
Lin Chang-Sheng ;
Xiong Xing ;
Shi Lei .
ACTA PHYSICA SINICA, 2007, 56 (06) :3107-3112
[5]  
Liu YZ, 2007, CHINESE PHYS, V16, P660, DOI 10.1088/1009-1963/16/3/017
[6]   Chaos switch-synchronization for a class of 4-D chaotic systems [J].
Liu Yang-Zheng ;
Jiang Chang-Sheng ;
Lin Chang-Sheng .
ACTA PHYSICA SINICA, 2007, 56 (02) :707-712
[7]   Chaos synchronization between the Sprott-B and Sprott-C with linear coupling [J].
Liu, YZ ;
Fei, SM .
ACTA PHYSICA SINICA, 2006, 55 (03) :1035-1039
[8]   Generating chaotic attractors with multiple merged basins of attraction:: A switching piecewise-linear control approach [J].
Lü, JH ;
Yu, XH ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (02) :198-207
[9]   Bridge the gap between the Lorenz system and the Chen system [J].
Lü, JH ;
Chen, GR ;
Cheng, DZ ;
Celikovsky, S .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (12) :2917-2926
[10]   Generating chaos with a switching piecewise-linear controller [J].
Lü, JH ;
Zhou, TS ;
Chen, GR ;
Yang, XS .
CHAOS, 2002, 12 (02) :344-349