SYNCHRONIZED DISORDER IN A 2D COMPLEX GINZBURG-LANDAU EQUATION

被引:6
作者
BAZHENOV, M
RABINOVICH, M
机构
[1] Institute of Applied Physics, Russian Academy of Science, 603600 Nizhny Novgorod
来源
PHYSICA D | 1994年 / 73卷 / 04期
关键词
D O I
10.1016/0167-2789(94)90103-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The phenomenon of spiral pair synchronization by oscillating strips (Nozaki-Bekki solution) in a 2D CGLE is invested analytically. The equations describing the interaction of the strips with one another and with spirals are derived. Analysis of the equations shows that under certain conditions the strips lead to frequency and phase locking of the spirals. In this case the spiral pair (dipole) is aligned parallel to the strips, with the position along the strips being arbitrary. Thus, the interaction with strips may transform the spatio-temporal chaos of spirals to the regime of periodically oscillating spatial disorder. The dynamics of circular strips is investigated and their lifetime is estimated. The behavior of the spirals bounded by circular stript is analysed.
引用
收藏
页码:318 / 334
页数:17
相关论文
共 54 条
  • [51] COHERENT STRUCTURES AND CHAOS - A MODEL PROBLEM
    SIROVICH, L
    RODRIGUEZ, JD
    [J]. PHYSICS LETTERS A, 1987, 120 (05) : 211 - 214
  • [52] SWINNEY HL, 1993, TIME SERIES PREDICTI, P557
  • [53] INVARIANT 2-TORI IN THE TIME-DEPENDENT GINZBURG-LANDAU EQUATION
    TAKAC, P
    [J]. NONLINEARITY, 1992, 5 (02) : 289 - 321
  • [54] STABILITY LIMITS OF TRAVELING WAVES AND THE TRANSITION TO SPATIOTEMPORAL CHAOS IN THE COMPLEX GINZBURG-LANDAU EQUATION
    WEBER, A
    KRAMER, L
    ARANSON, IS
    ARANSON, L
    [J]. PHYSICA D, 1992, 61 (1-4): : 279 - 283