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Controlling Chaotic Discrete System via the Improved Closed-loop Control

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 134-139页

作者： Wei LIN Jiong RUAN and Zhenxun HUANG(Department of Mathematics, Fudan University. shanghai 200433. China) Department of Mathematics Fudan University Shanghai 200433 China

In this paper. we use the improved closed-loop control method to realizethat the discrete chaotic system stabilizes to any arbitrarily chosen dynamics. We givethe strict proof as well as the general result of 2-dimensional system to show the feasibiltyof our method and criterion. Furthermore, the well-known Henon system is chosen foran example and the corresponding computer simulation results are given to support ourmethod.

关键词： controlling chaotic system gain matrix asymptotical stability

The UV-VIS Studies of C_(60) Chemically Modified Polystyrene Film

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Chinese Chemical Letters 1997年第5期8卷 447-450页

作者： Yu Chen Zu En Huang Rui Fang Cai Wei Wen Ma(Departfnent of Chemistry- Fudan University- shanghai 200433)Zhong-Chi Wu(Department of Materials Science. Fudan University shanghai 200433) FUDAN UNIV DEPT CHEMSHANGHAI 200433PEOPLES R CHINA FUDAN UNIV DEPT MAT SCISHANGHAI 200433PEOPLES R CHINA

The opticai properties of C,, chemicaiiy modified poiystyrene(C,, -PS copolymer) and the parent polystyrene (PS) films have been *** of bulky C,, moiety, a special functional group, to the polystyrene by anovel organometallic reaction modified considerably the optical property of theparent polystyrene. The lattice periodicity of pure PS film is subject to someperturbation or distortion in varying degrees due to the covalent attachInent of bulkyC,, moiety to the polymer backbone. C,,-PS copolymer possesses a new energy ba-ndstructure with indirect forbidden band when compared with the parent PS.

关键词： VIS Chemically Modified Polystyrene Film The UV-VIS Studies of C UV

ON SOME CONSTANTS OF QUASICONFORMAL DEFORMATION AND ZYGMUND CLASS

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Chinese Annals of Mathematics,Series B 1995年第3期16卷 325-330页

作者： CHEN JIXIU WEI HANBAI(Institute of Mathematics, Fudan University, shanghai 200433, China.) FUDAN UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

A real-valued function f(x)on belongs to Zygmund class if its Zygmund norm It is proved that when f ∈, there exists an extension F(z)of f to H = {Imz > 0} such that It is also proved that if f(0)=f(1)= 0,then

关键词： Quasiconformal deformation Zygmund class Beurling-Ahlfors extension.

THE UNSTABLE FLOW FROM THE GAP BETWEEN TWO CIRCULAR CYLINDERS

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Journal of Hydrodynamics 1991年第3期3卷 110-115页

作者： Xu You-heng Huang Dong-qun, Fudan University, shanghai 200433, P.R.China Fudan Univ Shanghai China

The interference of two circular cylinders has been researched for many years. In this study, the research work was concentrated on two cylinders in some special staggered arrangement. The velocity signal was measured with a hot wire anemometer and recorded with a TEAC portable data recorder. The relationship between spectrum and time was established by making 200 spectrum analysis in se- quence. The gap flow is unstable when two cylinders are arranged in L/D=2, T/D=1. Mainly, it can be looked as flow past a single blunt body and the Strouhal number is 0.15, The second peak arises in the power spectrum when the gap flow appears at irregular time interval. Sometimes it may be higher than the first one. The Strouhal num- ber corresponding to the second peak is 0.33. But at most of the time it is lower than the first one and even disap- peared. This is meaningful for exploring the mechanisms of interference induced oscillations in flow past two cylin- ders.

关键词： THE UNSTABLE FLOW FROM THE GAP BETWEEN TWO CIRCULAR CYLINDERS 二止 GAP

An Improved Estimation of the Fixed Point'sNeighborhood in Controlling Discrete Chaotic Systems

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 193-197页

作者： Enguo GU Jiong RUAN and Zhenxun HUANG(Institution of Mathematics Fudan University, shanghai 200433, China) Institution of Mathematics Fudan University Shanghai 200433 China

This paper proposes a better method for determining the fixed point'sneighborhood in which the system remain stable when subjected to a linear law. Thevalidity of this method is shown by a theorem on effective local control of nonlinear,chaotic dynamical system, with numerical confirmation. The ways of implementing theobtained theorem in practice are proposed.

关键词： discrete chaotic system neighborhood of fixed point feedback gain matrix

Hyperbolic positive mass theorem under modified energy condition

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Science China Mathematics 2008年第12期51卷 2189-2197页

作者： XIE NaQing Institute of Mathematics, School of Mathematical Sciences, Fudan University, shanghai 200433, China Institute of Mathematics School of Mathematical Sciences Fudan University Shanghai 200433 China

We provide two new positive mass theorems under respective modified energy conditions allowing T00 negative on some compact set for certain modified asymptotically hyperbolic manifolds. This work is analogous to Zhang... 详细信息

关键词： positive mass theorem modified energy condition modified asymptotically hyperbolic 83C40 53C27

SOME REMARKS ON THE NULL CONDITION FOR NONLINEAR ELASTODYNAMIC SYSTEM

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Chinese Annals of Mathematics,Series B 2002年第3期23卷 311-316页

作者： XIN JIE Institute of Mathematics, Laboratory of Mathematics for Nonlinear Sciences, Pudan University, shanghai 200433, China. Institute of Mathematics Laboratory of Mathematics for Nonlinear Sciences Fudan University Shanghai 200433 China

The author derives the same null condition as in [1] for the nonlinear elastodynamic system in a simpler way and proves the equivalence of the null conditions introduced in [1] and [7] respectively.

关键词： Null condition Stored energy function Elastodynamic system

THE SPECTRAL THEORY OF CONTRACTIONSON PONTRYAGIN SPACES Π_k(II)

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Chinese Annals of Mathematics,Series B 1994年第3期15卷 361-372页

作者： YAN SHAOZONG CHEN XIAOMAN ZHANG JIANGUO(Institute Of Mathematics,Fudan Unlversityt shanghai 200433,China) FUDAN UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

This the continuation of[8].The main purpose ofth0 paper Is to gi、 both general formof any unitary extension and unitary dilation of a contraction of Π_k associated with its trianglemodel.

关键词： Pontryagin space Contraction Unitary dilation Unitary extension Triangle model.

Local well-posedness of lower regularity solutions for the incompressible viscoelastic fluid system

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Science China Mathematics 2010年第6期53卷 1521-1530页

作者： ZHAO WenJing1,& DU DaPeng2 1School of Mathematics Science,Fudan University,shanghai 200433,China 2Institution of Mathematics,Fudan University,shanghai 200433,China 1. School of Mathematics Science Fudan University Shanghai 200433 China2. Institution of Mathematics Fudan University Shanghai 200433 China

In the present paper,the local well-posedness of the incompressible viscoelastic fluid system in the whole space is proved under the following assumption on the initial data:the deformation tensor is Hlder continuou... 详细信息

关键词： Oldroyd-B model characteristic direction Stokes kernel