A Novel Four-Dimensional Hyperchaotic System and Its Dynamic Analysis

被引:0
作者
Cai, Guo-Liang [1 ]
Wang, Hao-Xiang [1 ]
机构
[1] Jiangsu Univ, Nonlinear Sci Res Ctr, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源
ICIC 2009: SECOND INTERNATIONAL CONFERENCE ON INFORMATION AND COMPUTING SCIENCE, VOL 3, PROCEEDINGS: APPLIED MATHEMATICS, SYSTEM MODELLING AND CONTROL | 2009年
关键词
chaos; hyperchaos; dynamic analysis; lyapunov exponents; bifurcation; SYNCHRONIZATION; ATTRACTOR;
D O I
10.1109/ICIC.2009.289
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system. Some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviors by varying parameter k are studied. Numerical simulations are presented to show these results.
引用
收藏
页码:333 / 336
页数:4
相关论文
共 19 条
[1]   HYPERCHAOS FROM CELLULAR NEURAL NETWORKS [J].
ARENA, P ;
BAGLIO, S ;
FORTUNA, L ;
MANGANARO, G .
ELECTRONICS LETTERS, 1995, 31 (04) :250-251
[2]  
Cai GL, 2007, J JIANGSU U, V28, P269
[3]   Dynamical analysis of a new chaotic system and its chaotic control [J].
Cai Guo-Liang ;
Tan Zhen-Mei ;
Zhou Wei-Huai ;
Tu Wen-Tao .
ACTA PHYSICA SINICA, 2007, 56 (11) :6230-6237
[4]   Synchronization for hyperchaotic Chen system and hyperchaotic Rossler system with different structure [J].
Cai Guo-Liang ;
Huang Juan-Juan .
ACTA PHYSICA SINICA, 2006, 55 (08) :3997-4004
[5]  
Cai Guoliang., 2007, International Journal_of_Nonlinear_Science, V3, P213
[6]  
Cenys A, 2003, CHAOS SOLITON FRACT, V17, P349
[7]   Generating hyperchaotic Lu attractor via state feedback control [J].
Chen, AM ;
Lu, JN ;
Lü, JH ;
Yu, SM .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 364 :103-110
[8]   A new hyper-chaos generated from generalized Lorenz system via nonlinear feedback [J].
Gao, Tiegang ;
Chen, Zengqiang ;
Gu, Qiaolun ;
Yuan, Zhuzhi .
CHAOS SOLITONS & FRACTALS, 2008, 35 (02) :390-397
[9]  
HSITH JY, 1999, INT J CONTROL, V72, P882
[10]   Hyperchaos generated from the lorenz chaotic system and its control [J].
Jia, Qiang .
PHYSICS LETTERS A, 2007, 366 (03) :217-222