Control of defect-mediated turbulence in the complex Ginzburg-Landau equation via ordered waves

被引：24
作者：
He, Xiaoyi
Zhang, Hong [1 ]
Hu, Bambi
Cao, Zhoujian
Zheng, Bo
Hu, Gang
机构：
[1] Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China
[2] Zhejiang Univ, Dept Phys, Hangzhou 310027, Peoples R China
[3] Zhejiang Univ, Coll Life Sci, Hangzhou 310027, Peoples R China
[4] Hong Kong Baptist Univ, Dept Phys, Ctr Nonlinear Studies, Hong Kong, Hong Kong, Peoples R China
[5] Hong Kong Baptist Univ, Beijing Hong Kong Singapore Joint Ctr Nonlinear &, Hong Kong, Hong Kong, Peoples R China
[6] Univ Houston, Dept Phys, Houston, TX 77204 USA
[7] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
[8] Beijing Normal Univ, Beijing Hong Kong Singapore Joint Ctr Nonlinear &, Beijing 100875, Peoples R China
[9] CCAST, World Lab, Beijing 8730, Peoples R China
来源：
NEW JOURNAL OF PHYSICS | 2007年 / 9卷
关键词：
D O I：
10.1088/1367-2630/9/3/066
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Here, we study the local control of defect-mediated turbulence or spiral turbulence via ordered waves in the two- (2D) and three-dimensional (3D) complex Ginzburg - Landau equation (CGLE) systems. Depending on the local oscillating frequency resulting from the external periodic injection or the localized inhomogeneity, either spiral waves or target waves could be generated and they may successfully suppress the turbulent waves in the CGLE systems. Theoretical analysis combined with numerical analysis is given to reveal the underlying mechanism.
引用
收藏
页数：16
相关论文
共 34 条
[1]   CIRCUS MOVEMENT IN RABBIT ATRIAL MUSCLE AS A MECHANISM OF TACHYCARDIA [J].
ALLESSIE, MA ;
BONKE, FIM ;
SCHOPMAN, FJ .
CIRCULATION RESEARCH, 1973, 33 (01) :54-62
[2]   Periodic forcing of scroll rings and control of Winfree turbulence in excitable media [J].
Alonso, S. ;
Sagues, F. ;
Mikhailov, A. S. .
CHAOS, 2006, 16 (02)
[3]   Taming Winfree turbulence of scroll waves in excitable media [J].
Alonso, S ;
Sagués, F ;
Mikhailov, AS .
SCIENCE, 2003, 299 (5613) :1722-1725
[4]   CONTROLLING SPATIOTEMPORAL CHAOS [J].
ARANSON, I ;
LEVINE, H ;
TSIMRING, L .
PHYSICAL REVIEW LETTERS, 1994, 72 (16) :2561-2564
[5]   The world of the complex Ginzburg-Landau equation [J].
Aranson, IS ;
Kramer, L .
REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :99-143
[6]   VORTICES AND DEFECT STATISTICS IN 2-DIMENSIONAL OPTICAL CHAOS [J].
ARECCHI, FT ;
GIACOMELLI, G ;
RAMAZZA, PL ;
RESIDORI, S .
PHYSICAL REVIEW LETTERS, 1991, 67 (27) :3749-3752
[7]   SPATIOTEMPORAL INTERMITTENCY REGIMES OF THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION [J].
CHATE, H .
NONLINEARITY, 1994, 7 (01) :185-204
[8]   Phase diagram of the two-dimensional complex Ginzburg-Landau equation [J].
Chate, H ;
Mauneville, P .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1996, 224 (1-2) :348-368
[9]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[10]   STATIONARY AND DRIFTING SPIRAL WAVES OF EXCITATION IN ISOLATED CARDIAC-MUSCLE [J].
DAVIDENKO, JM ;
PERTSOV, AV ;
SALOMONSZ, R ;
BAXTER, W ;
JALIFE, J .
NATURE, 1992, 355 (6358) :349-351
1234