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Necessary and sufficient condition of C^0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property

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Chinese Science Bulletin 1997年第3期42卷 259-260页

作者： MAI Jiehua and GU Rongbao1.institute of mathematics,{2., shantou 515063, China 2. Department of mathematics, Anhui university, Hefei 2.0039, China institute of mathematics Shantou University Shantou China Department of mathematics Anhui University Hefei China

IN this letter we discuss the necessary and sufficient condition of C^0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property. According to ref. [1], on a closed surface, every minimal set of a C^r(r≥2. flow is trivial, but it is possible for a C^0 flow to contain non-trivial minimal sets. Thus C^0 flows on closed surfaces are more complicated than C^r(r≥2. flows.

关键词： Necessary and sufficient condition of C^0 flows on closed surfaces with isolated singular points having the pseudo-orbit tracing property

GENUINE-OPTIMAL CIRCULANT PRECONDITIONERS FOR WIENER-HOPF EQUATIONS

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Journal of Computational mathematics 2001年第6期19卷 629-638页

作者： Fu-rong Lin (Department of mathematics, shantou university,{2.,China) 汕头大学广东汕头 515063

Discusses the genuine-optimal circulant preconditioner for finite-section Wiener-Hopf equations. Definition of the genuine-optimal circulant preconditioner; Use of the preconditioned conjugate gradient method; Numeric... 详细信息

关键词： Wiener-Hopf equations circulant preconditioner preconditioned conjugate gradient method quadrature rules Hilbert-Schmidt norm

A SPLITTING ITERATION METHOD FOR DOUBLE X_0-BREAKING BIFURCATION POINTS

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Journal of Computational mathematics 1998年第3期16卷 267-274页

作者： Rui-song Ye (institute of mathematics,{2., Guangdong 515063, China) institute of mathematics Shantou University Guangdong 515063 China

A splitting iteration method is proposed to compute double X0-breaking bifurcation points. The method will reduce the computational work and storage, it converges linearly with an adjustable speed. Numerical computat... 详细信息

关键词： Double X0-breaking bifurcation point splitting iteration method extended system

OCCUPATION TIME PROCESSES OF FLEMING-VIOT PROCESSES

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Chinese Annals of mathematics,Series B 1995年第1期16卷 51-62页

作者： XUELEI (institute of mathematics,{2., shantou 515063, Guangdong, China.) 汕头大学数学所广东汕头 515063

Suppose that Xt is the Fleming-Viot process associated with fractional power Laplacian operator -(-△)α/2.0 < α≥ 2. and Yt= f_0￣t *** is the so-called occupation time *** this paper) the asymptotic behavior at a ... 详细信息

Suppose that Xt is the Fleming-Viot process associated with fractional power Laplacian operator -(-△)α/2.0 2. and Yt= f_0￣t *** is the so-called occupation time *** this paper) the asymptotic behavior at a large time and the absolute continuity of Yt are investigated.

关键词： Fleming-Viot superprocesss Occupation time process Asymptotic behavior Absolute continuity.

Anisotropic effect on the vibronic reduction factors

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Chinese Science Bulletin 2006年第21期51卷 2553-2558页

作者： QIU Qing-chun1,2.& QIAO Fen1,2.1. Department of Physics and IT, Medical College, shantou university,shantou 515041, China 2. Department of Physics, shantou university, shantou 515063, China Department of Physics and IT Medical College Shantou University Shantou 515041 China Department of Physics Shantou University Shantou 515063 China

The reduction factors p and q defined by Ham in the Ee JT system and their relation 2.-p=1 have been well accepted and the concept of reduction factors is widely used in the studies of vibronic coupling. However, when the system is under the anisotropic conditions, the reduction factors and their relation will change accordingly. The first-order reduction factors p and q of Ee system were further studied using the method of unitary transformation here. The relation between p and q proposed by Ham was investigated under both conditions of the linear coupling and the anisotropic effects. The result demonstrated that the relation of 2.-p=1 was only correct for the linear vibronic coupling, but not correct when the anisotropic effect was considered. This result suggested that the anisotropic effect influence considerably the reduction factors, and hence the physical properties of materials. Our method could be also applied to other JT systems, especially the highly symmetric JT systems involving C60 molecules.

关键词：电子振动耦合声子交迭 Jahn-Teller效应各向异性

A REMARK ON EXTINCTION OF A CLASS OF SUPERPROCESSES

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Chinese Annals of mathematics,Series B 1996年第1期17卷 115-120页

作者： ZHAO XUELEI (institute of mathematics, Shatou {2. shantou 515063, China.) institute of mathematics Shantou University Shantou 515063 China

The extinction of a class of superprocesses associated with general branching characterstics and underlying Markov processes is investigated. The extinction is closely associated with the branching characteristics and... 详细信息

关键词： Superprocess Extinction Nonlinear evolution equation Branching characteristic Recurrence and transience

Two-dimensional Riemann problems of simplified Euler equation

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Chinese Science Bulletin 1998年第6期43卷 441-444页

作者： YANG Xiaozhou 1,2.and HUANG Feimin+1 1. institute of Applied mathematics, Chinese Academy of Sciences, Beijing 100080, China 2. Department of mathematics, shantou university, Guangdong 515063, China institute of Applied mathematics Chinese Academy of Sciences Beijing China Department of mathematics Shantou University Guangdong China

The two-dimensional Riemann problem of simplifed Euler equation is discussed, in which initial value contains two different constant states that are separated by a smooth curve. This problem is a natural description of realistic phenomena, but it is hard to study by conventional idea. So a new approach is proposed. Some new properties about two-dimensional rarefaction wave, shock wave and intermediate state of solutions are disclosed.

关键词： D Riemann problem implicit functions cylindrical surface pencil of cylindrical surface.

A class of compactly supported symmetric/antisymmetric B-spline wavelets

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Progress in Natural Science:Materials International 2005年第2期15卷 31-36页

作者： YANG Shouzhi* and LOU Zengjian(Department of mathematics, shantou university,{2., China) Department of mathematics Shantou University Shantou 515063 China

An algorithm for constructing a class of compactly supported symmetric/antisymmetric B-spline wavelets is presented. For any mth order and kth order cardinal B-spline Nm(x), Nk(x), if m+k is an even integer, the corresponding mth order B-spline wavelets ψkm(x) can be constructed, which are compactly supported symmetric/antisymmetric. In addition, if ψkm(x), m>1 is mth B-spline wavelet associated with two spline functions Nm(x) and Nk(x), then (ψkm(x))′(x) is m-1th B-spline wavelet associated with N m-1(x) and N k+1(x), i.e. (ψkm(x))′(x)=2.ψ k+1 m-1(x). Similarly, ∫x0ψkm(t)dt, k>1 is m+1th B-spline wavelet associated with N m+1(x) and N k-1(x). Using this method, we recovered Chui and Wang’s spline wavelets. Since a class of B-spline wavelets are symmetric/antisymmetric, their linear phase property is assured. Several examples are also presented.

关键词： compactly supported B-spline function B-spline wavelet symmetric antisymmetric

Continuous maps with the whole space being a scrambled set

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Chinese Science Bulletin 1997年第19期42卷 1603-1606页

作者： MAI Jiehuainstitute of mathematics,{2., shantou 515063, China institute of mathematics Shantou University Shantou China

1 A problem or scrambled setCHAOTIC behavior is a manifestation of complexity of nonlinear dynamical systems. Since theobjects, methods, aims, or emphases of study are distinct, there are some variant definitionsof chaos given by different authors, or given by the same author in his different works. Thefollowing definition mainly stems from Li and Yorke.

关键词： scrambled set expansive map analytic homeomorphism.