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
[41]   Exact solution to an approximate sine-Gordon equation in (n+1)-dimensional space [J].
Feng, ZS .
PHYSICS LETTERS A, 2002, 302 (2-3) :64-76
[42]   SOLUTIONS OF THE SINE-GORDON EQUATION WITH A VARIABLE AMPLITUDE [J].
Aero, E. L. ;
Bulygin, A. N. ;
Pavlov, Yu. V. .
THEORETICAL AND MATHEMATICAL PHYSICS, 2015, 184 (01) :961-972
[43]   Discrete singular convolution for the sine-Gordon equation [J].
Wei, GW .
PHYSICA D-NONLINEAR PHENOMENA, 2000, 137 (3-4) :247-259
[44]   Perturbed soliton solutions of the sine-Gordon equation [J].
S. P. Popov .
Computational Mathematics and Mathematical Physics, 2009, 49 :2085-2091
[45]   Numerical inverse scattering for the sine-Gordon equation [J].
Deconinck, Bernard ;
Trogdon, Thomas ;
Yang, Xin .
PHYSICA D-NONLINEAR PHENOMENA, 2019, 399 :159-172
[46]   Solutions of the sine-Gordon equation with a variable amplitude [J].
E. L. Aero ;
A. N. Bulygin ;
Yu. V. Pavlov .
Theoretical and Mathematical Physics, 2015, 184 :961-972
[47]   KINK AND ANTIKINK SOLITONS ON SINE-GORDON EQUATION [J].
Segovia Chaves, Francis Armando .
REDES DE INGENIERIA-ROMPIENDO LAS BARRERAS DEL CONOCIMIENTO, 2012, 3 (01) :6-11
[48]   Pade numerical schemes for the sine-Gordon equation [J].
Martin-Vergara, Francisca ;
Rus, Francisco ;
Villatoro, Francisco R. .
APPLIED MATHEMATICS AND COMPUTATION, 2019, 358 :232-243
[49]   Identification problems of damped sine-Gordon equations with constant parameters [J].
Ha, JH ;
Nakagiri, S .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2002, 39 (04) :509-524
[50]   Rogue periodic waves of the sine-Gordon equation [J].
Li, Ruomeng ;
Geng, Xianguo .
APPLIED MATHEMATICS LETTERS, 2020, 102