TURBULENCE IN THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION

被引：1
|
作者：
ZUBRZYCKI, A
机构：
来源：
ACTA PHYSICA POLONICA A | 1995年 / 87卷 / 06期
关键词：
D O I：
10.12693/APhysPolA.87.925
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The transition to phase and amplitude turbulent states in the one-dimensional complex Ginzburg-Landau equation is investigated by a numerical simulation. In order to describe existing attractors quantitatively, the largest Lyapunov exponent is estimated. The largest Lyapunov exponent is positive but small for the phase turbulence and it is much larger for the amplitude turbulence. Moreover, it seems independent on the system size.
引用
收藏
页码：925 / 932
页数：8
相关论文
共 50 条
  • [1] Turbulence in the one-dimensional complex ginzburg-landau equation
    1600, Polish Acad of Sciences, Warszawa, Poland (87):
  • [2] Studies of phase turbulence in the one-dimensional complex Ginzburg-Landau equation
    Torcini, Alessandro
    Frauenkron, Helge
    Grassberger, Peter
    Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1997, 55 (5 -A pt A): : 5073 - 5081
  • [3] Studies of phase turbulence in the one-dimensional complex Ginzburg-Landau equation
    Torcini, A
    Frauenkron, H
    Grassberger, P
    PHYSICAL REVIEW E, 1997, 55 (05): : 5073 - 5081
  • [4] Scaling regimes of the one-dimensional phase turbulence in the deterministic complex Ginzburg-Landau equation
    Vercesi, Francesco
    Poirier, Susie
    Minguzzi, Anna
    Canet, Leonie
    PHYSICAL REVIEW E, 2024, 109 (06)
  • [5] Amplitude wave in one-dimensional complex Ginzburg-Landau equation
    Ling-Ling, Xie
    Jia-Zhen, Gao
    Wei-Miao, Xie
    Ji-Hua, Gao
    CHINESE PHYSICS B, 2011, 20 (11)
  • [6] Amplitude wave in one-dimensional complex Ginzburg-Landau equation
    谢玲玲
    高加振
    谢伟苗
    高继华
    Chinese Physics B, 2011, 20 (11) : 134 - 139
  • [7] SPATIOTEMPORAL CHAOS IN THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION
    SHRAIMAN, BI
    PUMIR, A
    VANSAARLOOS, W
    HOHENBERG, PC
    CHATE, H
    HOLEN, M
    PHYSICA D, 1992, 57 (3-4): : 241 - 248
  • [8] THE ONE-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION IN THE LOW DISSIPATION LIMIT
    GOLDMAN, D
    SIROVICH, L
    NONLINEARITY, 1994, 7 (02) : 417 - 439
  • [9] Phase space compression in one-dimensional complex Ginzburg-Landau equation
    Gao Ji-Hua
    Peng Jian-Hua
    CHINESE PHYSICS LETTERS, 2007, 24 (06) : 1614 - 1617
  • [10] Elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation
    Vernov, S. Yu
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (32) : 9833 - 9844
12345