SHORT-WAVELENGTH BIFURCATIONS AND SIZE INSTABILITIES IN COUPLED OSCILLATOR-SYSTEMS

被引:183
作者
HEAGY, JF
PECORA, LM
CARROLL, TL
机构
[1] Naval Research Laboratory, Washington
关键词
D O I
10.1103/PhysRevLett.74.4185
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report the presence of short wavelength bifurcations from synchronous chaotic states in coupled oscillator systems. The bifurcations immediately excite the shortest spatial wavelength mode present in the system as the coupling between the oscillators is increased beyond a critical value. An associated size instability places an upper bound on the number of oscillators that can support stable synchronous chaotic oscillations; an exact expression is given for the upper bound. Results are demonstrated with numerical simulations and electronic circuits. © 1995 The American Physical Society.
引用
收藏
页码:4185 / 4188
页数:4
相关论文
共 20 条
[1]   RIDDLED BASINS [J].
Alexander, J. C. ;
Yorke, James A. ;
You, Zhiping ;
Kan, I. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04) :795-813
[2]   CONTROLLING SPATIOTEMPORAL CHAOS [J].
ARANSON, I ;
LEVINE, H ;
TSIMRING, L .
PHYSICAL REVIEW LETTERS, 1994, 72 (16) :2561-2564
[3]   CONTROLLING EXTENDED SYSTEMS OF CHAOTIC ELEMENTS [J].
AUERBACH, D .
PHYSICAL REVIEW LETTERS, 1994, 72 (08) :1184-1187
[4]   THE EMERGENCE OF COHERENT STRUCTURES IN COUPLED MAP LATTICES [J].
BUNIMOVICH, LA ;
LAMBERT, A ;
LIMA, R .
JOURNAL OF STATISTICAL PHYSICS, 1990, 61 (1-2) :253-262
[5]   SHORT-WAVELENGTH INSTABILITY IN A LINEAR-ARRAY OF VORTICES [J].
CARDOSO, O ;
WILLAIME, H ;
TABELING, P .
PHYSICAL REVIEW LETTERS, 1990, 65 (15) :1869-1872
[6]   COUPLED NONLINEAR OSCILLATORS AND THE SYMMETRIES OF ANIMAL GAITS [J].
COLLINS, JJ ;
STEWART, IN .
JOURNAL OF NONLINEAR SCIENCE, 1993, 3 (03) :349-392
[7]   STABILITY THEORY OF SYNCHRONIZED MOTION IN COUPLED-OSCILLATOR SYSTEMS [J].
FUJISAKA, H ;
YAMADA, T .
PROGRESS OF THEORETICAL PHYSICS, 1983, 69 (01) :32-47
[8]  
GANG H, 1994, PHYS REV LETT, V72, P68
[9]   SYNCHRONOUS CHAOS IN COUPLED OSCILLATOR-SYSTEMS [J].
HEAGY, JF ;
CARROLL, TL ;
PECORA, LM .
PHYSICAL REVIEW E, 1994, 50 (03) :1874-1885
[10]  
Kuramoto Y., 2003, CHEM OSCILLATIONS WA