检索结果-南通市图书馆

Approximate Forward Attractors of non-autonomous Dynamical Systems

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2019年第4期40卷 541-554页

作者： Xuewei JU Desheng LI Chunqiu LI Ailing QI Department of Mathematics Civil Aviation University of ChinaTianjin 300300China Department of Mathematics Tianjin UniversityTianjin 300072China Department of Mathematics Civil Aviation University of ChinaTianjin 300300China

In this paper the forward asymptotical behavior of non-autonomous dynamical systems and their attractors are investigated. Under general conditions, the authors show that every neighborhood of pullback attractor has f... 详细信息

关键词： non-autonomous dynamical systems Pullback attractors Forward attractors Uniform attractors Approximate forward attractors

Uniform attractors for non-autonomous Klein-Gordon-Schrdinger lattice systems

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2009年第12期30卷 1597-1607页

作者：黄锦舞韩晓莹周盛凡 Department of Applied Mathematics Shanghai Normal University Department of Mathematics and Statistics Auburn University

The existence of a compact uniform attractor for a family of processes corre- sponding to the dissipative non-autonomous Klein-Gordon-SchrSdinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.

关键词： compact uniform attractor non-autonomous Klein-Gordon-SchrSoinger lattice system Kolmogorov entropy upper semicontinuity

Fractal Dimension of Random Attractors for non-autonomous Fractional Stochastic Ginzburg–Landau Equations

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2020年第3期36卷 318-336页

作者： Chun Xiao GUO Ji SHU Xiao Hu WANG Department of Mathematics China University of Mining and Technology BeijingBeijing 100083P.R.China School of Mathematical Science and V.C.&V.R.Key Lab Sichuan Normal UniversityChengdu 610068P.R.China Department of Mathematics Sichuan UniversityChengdu 610064P.R.China

This paper considers the dynamical behavior of solutions for non-autonomous stochastic fractional Ginzburg–Landau equations driven by additive noise with α∈(0, 1). First, we give some conditions for bounding the fractal dimension of a random invariant set of non-autonomous random dynamical system. Second, we derive uniform estimates of solutions and establish the existence and uniqueness of tempered pullback random attractors for the equation in H. At last, we prove the finiteness of fractal dimension of random attractors.

关键词： non-autonomous stochastic fractional Ginzburg–Landau equation random dynamical system random attractor additive noise fractal dimension

Necessary and sufficient conditions for the existence of equilibrium in abstract non-autonomous functional differential equations

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2010年第8期53卷 2045-2059页

作者： ZHENG ZuoHuan 1 & LI XiLiang 2 1 Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China 2 College of Mathematics and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,ChinaAbstract In this article,we aim to establish necessary and sufficient conditions that guarantee the existence of equilibria and continuous equilibria for the continuous skew-product semiflow induced by a class of Institute of Applied Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences College of Mathematics and Information Sciences Shandong Institute of Business and Technology

non-autonomous finite-delay functional differential equations without any monotone conditions assumed.A minimal set is constructed in terms of which necessary and sufficient conditions for a continuous equilibrium to ... 详细信息

关键词： continuous equilibrium non-autonomous functional differential equations skew-product semiflows topological dynamics

Inertial　Manifolds　for　non-autonomous　Evolution　Equations

在线全文

学校读者我要写书评

暂无评论

数学进展 1997年第2期 90-91页

作者：王宗信范先令

ＩｎｅｒｔｉａｌＭａｎｉｆｏｌｄｓｆｏｒＮｏｎ┐ａｕｔｏｎｏｍｏｕｓＥｖｏｌｕｔｉｏｎＥｑｕａｔｉｏｎｓＷａｎｇＺｏｎｇｘｉｎ（王宗信）ＦａｎＸｉａｎｌｉｎｇ（范先令）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＬａｎｚｈｏｕＵｎｉ... 详细信息

ＩｎｅｒｔｉａｌＭａｎｉｆｏｌｄｓｆｏｒＮｏｎ┐ａｕｔｏｎｏｍｏｕｓＥｖｏｌｕｔｉｏｎＥｑｕａｔｉｏｎｓＷａｎｇＺｏｎｇｘｉｎ（王宗信）ＦａｎＸｉａｎｌｉｎｇ（范先令）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＬａｎｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，Ｌａｎｚｈｏｕ，Ｇ...

关键词：范先 non-autonomous 宗信 Inertial Manifolds Equations Evolution

Well-Posedness for the 2D non-autonomous Incompressible Fluid Flow in Lipschitz-like Domain

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Journal of Partial Differential Equations 2019年第1期32卷 77-92页

作者： YANG Xin-Guang WANG Shubin Department of Mathematics and Information Science Henan Normal University Xinxiang 453007 China. School of Mathematics and Statistics Zhengzhou University Zhengzhou 450001 China.

This paper is concerned with the global well-posedness and regularity of weak solutions for the 2D non-autonomous incompressible Navier-Stokes equation with a inhomogeneous boundary condition in Lipschitz-like domain. Using the estimate for governing steady state equation and Hardy's inequality, the existence and regularity of global unique weak solution can be proved. Moreover, these results also hold for 2D Navier-Stokes equation with Rayleigh's friction and Navier-Stokes-Voigt flow, but invalid for three dimension.

关键词： non-autonomous Navier-Stokes equation Lipsh让z-like domain background flow function.

Persistence in non-autonomous Lotka-Volterra System with Predator-Prey Ratio-Dependence and Density Dependence

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics 2011年第9期2卷 1148-1153页

作者： Haiyin Li 不详

The main purpose of this article is considering the persistence non-autonomous Lotka-Volterra system with predator-prey ratio-dependence and density dependence. We get the sufficient conditions of persistence of system, further have the necessary conditions, also the uniform persistence condition, which can be easily checked for the model is obtained.

关键词： Uniform Persistence Density Dependent Predator Ratio-Dependent non-autonomous Lotka-Volterra System

Pullback Random Attractors for non-autonomous Stochastic Fractional FitzHugh-Nagumo System

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2020年第1期8卷 115-131页

作者： Chunxiao Guo Yiju Chen Yanfeng Guo Department of Mathematics China University of Mining and Technology Beijing Beijing China School of Mathematics and Physics China University of Geosciences Wuhan China School of Science Guangxi University of Science and Technology Liuzhou China

This paper is concerned with the asymptotic behavior of solutions for a class of non-autonomous fractional FitzHugh-Nagumo equations deriven by additive white noise. We first provide some sufficient conditions for the existence and uniqueness of solutions, and then prove the existence and uniqueness of tempered pullback random attractors for the random dynamical system generated by the solutions of considered equations in an appropriate Hilbert space. The proof is based on the uniform estimates and the decomposition of dynamical system.

关键词： non-autonomous Stochastic Fractional FitzHugh-Nagumo System Random Attractor Additive White Noise

Finite Fractal Dimensionality of Compact Kernel Sections for Dissipative non-autonomous Klein-Gordon-Schrödinger Lattice Systems

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2020年第12期8卷 2919-2929页

作者： Jinwu Huang Department of Mathematics Shanghai Normal University Tianhua College Shanghai China

In this paper, an upper bound of fractal dimension of the compact kernel sections for the dissipative non-autonomous Klein-Gordon-Schrödinger lattice system is obtained, by applying a criterion for estimating fractal ... 详细信息

关键词： Compact Kernel Sections Dissipative Fractal Dimension non-autonomous Klein-Gordon-Schrödinger Lattice System