GENERATION OF MULTI-WING CHAOTIC ATTRACTORS FROM A LORENZ-LIKE SYSTEM

被引：33

作者：

Lai, Qiang ^{[1
]}

Guan, Zhi-Hong ^{[1
]}

Wu, Yonghong ^{[2
]}

Liu, Feng ^{[3
]}

Zhang, Ding-Xue ^{[4
]}

机构：

[1] Huazhong Univ Sci & Technol, Coll Automat, Wuhan 430074, Peoples R China

[2] Wuhan Univ Technol, Sch Sci, Wuhan 430070, Peoples R China

[3] China Univ Geosci, Dept Elect Informat & Mech, Wuhan 430074, Peoples R China

[4] Yangtze Univ, Petr Engn Coll, Jinzhou 420400, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2013年 / 23卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Multi-wing chaotic attractors; Lorenz-like system; switching method; coordinate transition; HYPERCHAOTIC ATTRACTORS; EQUATION; ORBITS; DESIGN;

D O I：

10.1142/S0218127413501526

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, two methods are proposed to construct multi-wing chaotic attractors based on a Lorenz-like autonomous chaotic system. The first is switching method which can directly multiply the wings of the system without segment linearization of the system. The second is coordinate transition method which is related to the initial value of the system. Moreover, theoretical analysis and simulation results show the effectiveness of these two methods.

引用

页数：10

共 31 条

[1] Differential equations with multispiral attractors
Aziz-Alaoui, MA
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (06): : 1009 - 1039
[2] Feedback anticontrol of discrete chaos
Chen, GR
Lai, DJ
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (07): : 1585 - 1590
[3] On spatial periodic orbits and spatial chaos
Chen, GR
Liu, ST
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (04): : 935 - 941
[4] Yet another chaotic attractor
Chen, GR
Ueta, T
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
[5] CHUA LO, 1986, IEEE T CIRCUITS SYST, V33, P289
[6] Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system
Deng, Weihua
Lu, Jinhu
[J]. PHYSICS LETTERS A, 2007, 369 (5-6) : 438 - 443
[7] A four-wing butterfly attractor from a fully autonomous system
Elwakil, AS
Özoguz, S
Kennedy, MP
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (10): : 3093 - 3098
[8] Multi-wing hyperchaotic attractors from coupled Lorenz systems
Grassi, Giuseppe
Severance, Frank L.
Miller, Damon A.
[J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (01) : 284 - 291
[9] On hybrid impulsive and switching systems and application to nonlinear control
Guan, ZH
Hill, DJ
Shen, XM
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (07) : 1058 - 1062
[10] On impulsive control and its application to Chen's chaotic system
Guan, ZH
Liao, RQ
Zhou, F
Wang, HO
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05): : 1191 - 1197

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