位置：成果数据库 > 期刊 > 期刊详情页
具有可加白噪音的耦合系统的同步(英文)
  • ISSN号：1000-5137
  • 期刊名称：上海师范大学学报(自然科学版)
  • 时间：0
  • 页码：221-227
  • 语言：中文
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]上海师范大学数理学院,上海200234
  • 相关基金：This work is supported by the National Natural Science Foundation of China under Grant（ 10771139 ） ;Innovation Programof Shanghai Municipal Education Commission under Grant （ 08ZZ70 ） ; Foundation of Education Commission of China under Grant （ 200802700002 ）.
  • 相关项目：非自治格点系统与非牛顿流体方程组的渐近行为
作者： 沈中伟|周盛凡|路学强|
关键词： 同步, 随机动力系统, 可加白噪音, synehronization, random dynamieal systems , additive noise
中文摘要：

在单边Lipschitz耗散条件下,考虑具有可加白噪音的耦合系统的两种同步现象,即不同解之间的同步和同一个解的不同分量之间的同步.首先证明了该耦合系统存在单点集随机吸引子,从而发生不同解之间的同步现象,此外该随机吸引子还是系统的唯一平稳解.然后证明了当耦合系数趋于无穷大时,该系统解的每一个分量在有限时间区间内一致地趋于平均系统的平稳解.

英文摘要：

This paper is devoted to two kinds of synchronization of solutions （ i. e. , between any two solutions and among components of solutions） of the N-coupled Ito stochastic differential equations （SDEs） with additive noises under the one-sided dissipative Lipschitz conditions. We first show that the random dynamical system generated by the coupled SDEs has a singleton sets random attractor which implies the synchronization of any two solutions. Moreover, the singleton sets random attractor is a stationary solution of the coupled SDEs. Then, we show that any components of the solutions of coupled SDEs converge to the stationary solution of the averaged SDE uniformly on any finite time interval as the coupled coefficient tends to infinity. Our results generalize the work on two Ito SDEs in .

同期刊论文项目
非自治格点系统与非牛顿流体方程组的渐近行为
期刊论文 44
同项目期刊论文
COMPACT KERNEL SECTIONS FOR DISSIPATIVE NON-AUTONOMOUS ZAKHAROV EQUATION ON INFINITE LATTICES
一类随机格点系统的随机吸引子
格点系统存在指数吸引子的充分条件及应用
具强阻尼的随机sine-Gordon方程的随机吸引子存在性
Klein-Gordon-Schrdinger格点系统全局吸引子的分形维数
非自治Klein-Gordon-Schrdinger格点动力系统的一致吸引子
Existence of traveling wavefronts in a cooperative systems with discrete delays
Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtoni
Attractors for Discrete Nonlinear Schrodinger Equation with Delay
One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation
Upper semicontinuity of attractors for lattice systems under singular perturbations
SYNCHRONIZATION OF COUPLED STOCHASTIC SYSTEMS WITH MULTIPLICATIVE NOISE
Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting
n维耦合振子格点系统的同步性
Attractor for lattice system of dissipative Zakharov equation
关于耗散格点系统全局吸引子的分形维(英文)
Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical
Dimension of kernel sections for damped nonautonomous wave equations with critical exponent
Compact kernel sections for lattice systems with delays
EXISTENCE AND REGULARITY OF PULLBACK ATTRACTORS FOR AN INCOMPRESSIBLE NON-NEWTONIAN FLUID WITH DELAY
Uniform attractors for non-autonomous Klein-Gordon-Schrodinger lattice systems
具有粘弹性和热粘弹性方程组的全局周期吸引子
强阻尼的半线性波动方程全局吸引子的Hausdorff维数
FRACTAL DIMENSION OF GLOBAL ATTRACTORS FOR SOME DISSIPATIVE LATTICE SYSTEMS
Pullback trajectory attractors for evolution equations and application to 3D incompressible non-Newt
Synchronization slaved by partial-states in lattices of non-autonomous coupled Lorenz equation
On the discrete-time multi-species competition-predation system with several delays
A NOTE ON NONAUTONOMOUS KLEIN-GORDON-SCHRODINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDI
Permanence of species in nonautonomous discrete Lotka-Volterra competitive system with delays and fe
Theorems about the attractor for incompressible non-Newtonian flow driven by external forces that ar
Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid
Finite dimensionality and upper semicontinuity of compact kernel sections of non-autonomous lattice
Kernel sections for processes and nonautonomous lattice systems
Compact uniform attractors for dissipative lattice dynamical systems with delays
H-1-Uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fl
Permanence and global stability in a discrete n-species competition system with feedback controls
Limit behavior of global attractors for the complex Ginzburg-Landau equation on infinite lattices
Compact kernel sections of long-wave-short-wave resonance equations on infinite lattices
On non-autonomous strongly damped wave equations with a uniform attractor and some averaging
Global Attractors and Asymptotic Smoothing Effect for Navier-Stokes Equations with Linear Damping on R^2
二维Navier—Stokes方程组的H1一致吸引子
齐次Neumann边界条件下反应扩散方程的零维全局吸引子
期刊信息
  • 《上海师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:上海市教育委员会
  • 主办单位:上海师范大学
  • 主编：丛玉豪
  • 地址：上海市桂林路100号
  • 邮编：200234
  • 邮箱：xuebao@shnu.edu.cn
  • 电话：021-64322304
  • 国际标准刊号：ISSN：1000-5137
  • 国内统一刊号：ISSN：31-1416/C
  • 邮发代号:4-655
  • 获奖情况:
  • 2010年获教育部“中国科技论文在线优秀期刊”二等奖,2011年获中国高校科技期刊研究会第二届全国高师学...,2013年获中国高校科技期刊研究会高师学报系统的“...
  • 国内外数据库收录:
  • 德国数学文摘,中国中国科技核心期刊
  • 被引量:3487