EFFECTS OF MULTIPLICATIVE NOISE ON A STOCHASTIC SWIFT-HOHENBERG EQUATION

被引：6
|
作者：
GARCIAOJALVO, J [1 ]
SANCHO, JM [1 ]
机构：
[1] UNIV POLITECN CATALUNYA,ESCOLA TECN SUPER ENGINYERS IND TERRASSA,DEPT FIS & ENGN NUCL,E-08222 TERRASSA,SPAIN
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1994年 / 4卷 / 05期
关键词：
D O I：
10.1142/S0218127494001039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalised stochastic Swift-Hohenberg equation is studied as an example of a pattern-forming system under the influence of fluctuations. An external fluctuation which is coupled to the order parameter is considered. Ordered structures appear in regions where the homogeneous situation is stable when only internal noise is present. These structures are analysed by studying the behavior of the mean value of the transmitted flux, its statistical variance and its linear relaxation time.
引用
收藏
页码：1337 / 1342
页数：6
相关论文
共 50 条
  • [41] Stochastic attractor bifurcation for the two-dimensional Swift-Hohenberg equation
    Li, Limei
    Hernandez, Marco
    Ong, Kiah Wah
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (05) : 2105 - 2118
  • [42] NOISE AND PATTERN SELECTION IN THE ONE-DIMENSIONAL SWIFT-HOHENBERG EQUATION
    HERNANDEZGARCIA, E
    MIGUEL, MS
    TORAL, R
    VINALS, J
    PHYSICA D, 1992, 61 (1-4): : 159 - 165
  • [43] Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain
    CX Guo
    YY Chen
    YF Guo
    Journal of Inequalities and Applications, 2016
  • [44] Modulation Equation for the Stochastic Swift-Hohenberg Equation with Cubic and Quintic Nonlinearities on the Real Line
    Mohammed, Wael W.
    MATHEMATICS, 2019, 7 (12)
  • [45] Localized States in an Extended Swift-Hohenberg Equation
    Burke, John
    Dawes, Jonathan H. P.
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2012, 11 (01): : 261 - 284
  • [46] DYNAMIC BIFURCATION OF THE COMPLEX SWIFT-HOHENBERG EQUATION
    Han, Jongmin
    Yari, Masoud
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2009, 11 (04): : 875 - 891
  • [47] Dynamics of phase domains in the Swift-Hohenberg equation
    Staliunas, K
    Sanchez-Morcillo, VJ
    PHYSICS LETTERS A, 1998, 241 (1-2) : 28 - 34
  • [48] Ergodic dynamics of the stochastic Swift-Hohenberg system
    Wang, W
    Sun, JH
    Duan, JQ
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2005, 6 (02) : 273 - 295
  • [49] Interfaces between rolls in the Swift-Hohenberg equation
    Haragus, Mariana
    Scheel, Arnd
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2007, 1 (02) : 89 - 97
  • [50] On Classical Solutions for a Swift-Hohenberg Type Equation
    Coclite, Giuseppe Maria
    di Ruvo, Lorenzo
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (01)
12345