A novel 3D autonomous system with different multilayer chaotic attractors

被引:19
作者
Dong, Gaogao [1 ]
Du, Ruijin [1 ,2 ]
Tian, Lixin [1 ]
Jia, Quang [1 ]
机构
[1] Jiangsu Univ, Nonlinear Sci Res Ctr, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
[2] Chongqing Normal Univ, Coll Math & Comp Sci, Chongqing 401331, Peoples R China
关键词
Multilayer chaotic attractors; Three-dimensional autonomous system; HYPERCHAOTIC BEHAVIOR;
D O I
10.1016/j.physleta.2009.07.022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This Letter proposes a novel three-dimensional autonomous system which has complex chaotic dynamics behaviors and gives analysis of novel system. More importantly, the novel system can generate three-layer chaotic attractor, four-layer chaotic attractor, five-layer chaotic attractor, multilayer chaotic attractor by choosing different parameters and initial condition. We analyze the new system by means of phase portraits, Lyapunov exponent spectrum, fractional dimension, bifurcation diagram and Poincare maps of the system. The three-dimensional autonomous system is totally different from the well-known systems in previous work. The new multilayer chaotic attractors are also worth causing attention. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:3838 / 3845
页数:8
相关论文
共 21 条
[1]   An algorithm based on variable feedback to synchronize chaotic and hyperchaotic systems [J].
Bu, SL ;
Wang, SQ ;
Ye, HQ .
PHYSICA D-NONLINEAR PHENOMENA, 2002, 164 (1-2) :45-52
[2]   Hyperchaotic coupled chua circuits:: An approach for generating new n x m-scroll attractors [J].
Cafagna, D ;
Grassi, G .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (09) :2537-2550
[3]   Hyperchaotic behaviour of two bi-directionally coupled Chua's circuits [J].
Cannas, B ;
Cincotti, S .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2002, 30 (06) :625-637
[4]   A novel hyperchaos system only with one equilibrium [J].
Chen, Zengqiang ;
Yang, Yong ;
Qi, Guoyuan ;
Yuan, Zhuzhi .
PHYSICS LETTERS A, 2007, 360 (06) :696-701
[5]   THE DOUBLE SCROLL FAMILY .1. RIGOROUS PROOF OF CHAOS [J].
CHUA, LO ;
KOMURO, M ;
MATSUMOTO, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (11) :1072-1097
[6]   Generating hyperchaos via state feedback control [J].
Li, YX ;
Tang, WKS ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (10) :3367-3375
[7]   A new chaotic attractor [J].
Liu, CX ;
Liu, T ;
Liu, L ;
Liu, K .
CHAOS SOLITONS & FRACTALS, 2004, 22 (05) :1031-1038
[8]   Dynamical analysis of a new chaotic attractor [J].
Lu, JH ;
Chen, GR ;
Zhang, SC .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1001-1015
[9]   A new chaotic attractor coined [J].
Lü, JH ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661
[10]   Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters [J].
Lu, JQ ;
Cao, JD .
CHAOS, 2005, 15 (04)