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BLOCKWISE PERTURBATION THEORY FOR 2×2 BLOCK MARKOV CHAINS

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Journal of Computational mathematics 2000年第3期18卷 305-312页

作者： Jun-gong Xue Wei-guo Gao (department of mathematics, fudan university, shanghai, 200433, china) 复旦大学上海 200433

Let P be a transition matrix of a Markov chain and be of the form P = qq@. The stationary distribution πT is partitioned conformally in the form (π1T, π2T). This paper establish the relative error bound in πiT (i ... 详细信息

关键词： Blockwise perturbation Markov chains stationary distribution error bound

A NONLOCAL NONLINEAR BOUNDARYVALUE PROBLEM FOR THE HEAT EQUATIONS

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Chinese Annals of mathematics,Series B 1996年第3期17卷 365-374页

作者： YAN JINHAI(department of mathematics, fudan university, shanghai 200433, china) department of mathematics Fudan University Shanghai 200433 China

The existence and limit behaviour of the solution for a kind of nonlocal nonlinear boundaryvalue condition on a part of the boundary is studied for the heat equation, which physicallymeans that the potential is the function of the total flux. When this part of boundary shrinksto a point in a certain wayt this condition either results in a Dirac measure or simply disappearsin the corresponding problem.

关键词： Heat equation Nonlinear boundary problem Potential Limit behavior

Coanalytic models for Hardy-type operators

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Science china mathematics 2024年

作者： Xiangdi Fu kunyu guo Fugang Yan School of Mathematical Sciences Fudan University

We establish coanalytic models for a broad class of Hardy-type operators on L2[0, 1]. In particular,we show that the logarithmic Hardy operator is unitarily equivalent to the difference between the identity operator and the backward shift on a Bergman-type space. This result leads to several applications related to zero sets and invariant subspaces in weighted Bergman spaces. Additionally, we study logarithmic Hardy operators on Lp[0, 1] and obtain results concerning their boundedness, operator norms, and spectra.

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FATOU　PROPERTY　ON　HARMONIC　MAPS　FROM　COMPLETE　MANIFOLDS　WITH　NONNEGATIVE　CURVATURE　AT　INFINITY　INTO　CONVEX　BALLS

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Chinese Annals of mathematics,Series B 1995年第3期16卷 341-350页

作者： YANG YIHU(department of mathematics,fudan university,shanghai 200433, china.) fudan UNIV DEPT MATHSHANGHAI 200433PEOPLES R CHINA

The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps ... 详细信息

关键词： Complete manifold Harmonic map Convex ball Fatou property.

Synchronization of Chaotic Systems by Linear Feedback Controller

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Communications in Nonlinear Science and Numerical Simulation 1998年第1期3卷 27-30页

作者： Zhenxun HUANG and Jiong RUAN (department of mathematics, fudan university, shanghai 200433, china) department of mathematics Fudan University Shanghai 200433 China

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关键词： control and synchronization of chaos heterogeneous synchronization ω limit point global asymptotical stability

An Improved Method in Synchronization ofChaotic Systems

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 140-143页

作者： Jiong RUAN and Lijuan LI(department of mathematics, fudan university, shanghai 200433, china) department of mathematics Fudan University Shanghai 200433 China

An improved strategy in srnchrohization of chaotic dynamics as contrastedwith PC(*** and ***) method and KSC(Kocarev L, Shang A, Chua,L.O.)control idea is presented in this paper. Computer simulations are included to ... 详细信息

关键词： synchronization conditional Lyapunov exponents drive-response

Chaos in A Class of Impulsive DifferentialEquation

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Communications in Nonlinear Science and Numerical Simulation 1999年第2期4卷 165-169页

作者： Jiong RUAN Wei LIN(department of mathematics, fudan university, shanghai 200433, china) department of mathematics Fudan University Shanghai 200433 China

In this paper, the chaotic differential equation with impulse effect is introduced including its foundamental theory. For illustrating the chaotic characteristic ofthis kind of system, the theory of the dynamics is ap... 详细信息

关键词： chaos impulsive differential equation impulse effect

CDS Simulation and Pattern Formation of Phase Separation

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Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 233-236页

作者： Zhanaji LIU Men CHENG Jiong RUAN and Shouji CHENG (department of Mechanics and Engineering Science, fudan university, shanghai 200433,china)(department of mathematics, fudan university, shanghai 200433, china) Dept. of Mechanics and Eng. Science Fudan University Shanghai 200433 China department of mathematics Fudan University Shanghai 200433 China

Several properties of the generation and evolution of phase separating patterns for binary material studied by CDS model are proposed. The main conclusions are (1) for alloys spinodal decomposition, the conceptions of "macro-pattern" and "micropattern" are posed by "black-and- white graph" and "gray-scale graph" *** find that though the four forms of map f that represent the self-evolution of order parameter in a cell(lattice) are similar to each other in "macro-pattern" , there are evident differences in their micro-pattern, e.g., some different fine netted structures in the blackdomain and the white domain are found by the micro-pattern, so that distinct mechanical and physical behaviors shall be obtained. (2) If the two constitutions of block copolymers are not symmetric (i.e. r ≠ 0.5), a pattern called "grain-strip cross pattern"is discovered,in the 0.43 < r < 0.45.

关键词： lattice gas automata CDS phase separation Pattern formation

Modern thermodynamics-New concepts based on the second law of thermodynamics

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Progress in Natural Science:Materials International 2009年第1期19卷 125-135页

作者： Jitao Wang department of Microelectronics,fudan university,shanghai 200433,china department of Microelectronics Fudan University Shanghai 200433 China

Thermodynamics is a core part of *** all scientists should have a basic knowledge of *** is a science of development,and is a viewpoint of scientific development in natural *** of thermodynamics has influence not only on natural sciences,but also on social sciences and *** concepts and definitions are very important for any discipline of science,so what is classical thermodynamics and what is modern thermodynamics have become the key points of puzzledom in *** this paper,after clarification of fundamental concept in thermodynamics,a complete basic modern classification of thermodynamics is naturally *** is suggested that extended Carnot theorem and dissipation decrease theorem,together with the laws of thermodynamics,are the most fundamental theorems in thermodynamics *** thermodynamics is a new field besides equilibrium thermodynamics belonging to the equal part of the second law of thermodynamics.

关键词： Modern thermodynamics Second law of thermodynamics Thermodynamic coupling Spiral reactions Chemical oscillation Low-pressure diamond growth