ZERO-DIMENSIONAL GLOBAL ATTRACTOR OF DAMPED SINE-GORDON EQUATION

被引:0
|
作者
秦文新
周盛凡
机构
关键词
Global attractor; sine-Gordon equation; equilibrium point; Lyapunov function;
D O I
暂无
中图分类号
O177 [泛函分析];
学科分类号
070104 ;
摘要
We investigate the global attractor of damped sine-Gordon equation with homogeneousDirichlet boundary condition. We prove the existence of global attractor. Under some conditionson the parameters, we show the global attractor is zero-dimensional and is exactly the uniqueequilibrium point of the system.
引用
收藏
页码:260 / 264
页数:5
相关论文
共 50 条
  • [31] Breather competition and pulse orbits in the damped driven Sine-Gordon equation
    Huang, DB
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (07): : 2363 - 2373
  • [32] Stochastic D-bifurcation for a damped sine-Gordon equation with noise
    Huang, Qiongwei
    Xue, Changfeng
    Tang, Jiashi
    AIP ADVANCES, 2015, 5 (04)
  • [33] Solutions of the three-dimensional sine-Gordon equation
    Aero, E. L.
    Bulygin, A. N.
    Pavlov, Yu. V.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 158 (03) : 313 - 319
  • [34] SOLUTIONS OF 2-DIMENSIONAL SINE-GORDON EQUATION
    ZAGRODZINSKI, J
    PHYSICS LETTERS A, 1976, 57 (03) : 213 - 214
  • [35] The asymptotic behavior of solutions of the sine-gordon equation with singularities at zero
    V. L. Vereshchagin
    Mathematical Notes, 2000, 67 : 274 - 285
  • [36] Solutions of the three-dimensional sine-Gordon equation
    E. L. Aero
    A. N. Bulygin
    Yu. V. Pavlov
    Theoretical and Mathematical Physics, 2009, 158
  • [37] The asymptotic behavior of solutions of the sine-Gordon equation with singularities at zero
    Vereshchagin, VL
    MATHEMATICAL NOTES, 2000, 67 (3-4) : 274 - 285
  • [38] Control for the sine-Gordon equation
    Petcu, M
    Temam, R
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2004, 10 (04): : 553 - 573
  • [39] PATTERN SELECTION AND LOW-DIMENSIONAL CHAOS IN THE DRIVEN DAMPED TWO-DIMENSIONAL SINE-GORDON EQUATION
    OLSEN, OH
    LOMDAHL, PS
    BISHOP, AR
    EILBECK, JC
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1985, 18 (18): : L511 - L517
  • [40] An ultradiscretization of the sine-Gordon equation
    Isojima, S
    Murata, M
    Nobe, A
    Satsuma, J
    PHYSICS LETTERS A, 2004, 331 (06) : 378 - 386