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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, shantou university, 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

An asymptotic result of super-Brownian motion on hyperbolic space

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Chinese Science Bulletin 1997年第15期42卷 1240-1244页

作者： TANG JiashanDepartment of mathematics, beijing Normal university, beijing 100875, china institute of mathematics, shantou university, shantou 515063, china Department of mathematics Beijing Normal University Beijing China institute of mathematics Shantou University Shantou China

SUPERPROCESS is one kind of measure-valued branching Markov processes. In the recentdecades many results of superprocesses on Euclidean spaces and on general abstract spaces havebeen obtained, but there is only little work on Riemannian manifold. In this note, wewill consider the super-Brownian motions on the hyperbolic space of dimension d and give anasymptotic result of this process (see Corollary 1 below). Iscoe investigated a similar prob-

关键词： hyperbolic space radial super-Brownian motion hitting probability asymptotic.

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 university shantou 515063, china.) SHANTON UNIV INST MATHSHANTOU 515063PEOPLES R 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

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, shantou university, shantou 515063, Guangdong, china.) shantou UNIV INST MATHSHANTOU 515063PEOPLES R CHINA

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 lute continuity of Yt are investigated.

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

Central limit theorem for the occupation time of catalyticsuper-Brownian motion

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Chinese Science Bulletin 1998年第24期43卷 2035-2040页

作者： HONG Wenming Department of mathematics, beijing Normal university, beijing 100875, china Corresponding address: institute of mathematics, shantou university, shantou 515063, china Department of mathematics Beijing Normal University Beijing China

The catalytic super_Brownian motion has been considered. If both the catalytic medium process Q and CSBM started with Lebesgue measure λ, the central limit theorem for occupation time of CSBM has been obtained in dim... 详细信息

关键词： branching rate functional Brownian collision local time catalytic super_Brownian motion occupation time central limit theorem.

Multi-parameter infinite-dimensional(r,δ)-OU process

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Chinese Science Bulletin 1999年第5期44卷 418-423页

作者： WANG Zikuninstitute of mathematics, shantou university, shantou 515063, china Department of mathematics, beijing Normal university, beijing 100875, china institute of mathematics Shantou University Shantou China Department of mathematics Beijing Normal University Beijing China

The definition of n-parameter infinite-dimensional (r, δ) -Ornstein-Uhlenbeck process {X_t (·)}((r,δ)-OUP_n~∞ for short) is given. The absolute continuity of distribution μ_t of X_t(·) and the limit of X_t(·) w... 详细信息

关键词： multi-parameter (r δ)-OUPn∞ absolute continuity in hierarchy.

Global smooth solution of multi-dimensional non-homogeneous conservation laws

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Progress in Natural Science:Materials International 2004年第10期14卷 15-22页

作者： YANG Xiaozhou 1 and ZHANG Tong 2 (1.Department of mathematics,shantou university,shantou515063,china 2.institute of mathematics,Chinese Academy of Sci-ences,beijing100080,china) shantou Univ Dept Math Shantou 515063 Peoples R China Chinese Acad Sci Inst Math Beijing 100080 Peoples R China

The initial value problem of multi-dimensional non-homogeneous conservation laws is studied and a sufficient condition of the existence of its global smooth solution is ***,three equivalent propositions of the existence of global smooth solution for multi-dimensional homogeneous scalar conservation laws are also *** global smooth solution is uniquely expressed by the global implicit function that is determined by a scalar equation,not by a system as usual methods do.

关键词： conservation laws global smooth solution global implicit function diffeomorphism

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, shantou university, 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.

Smale horseshoe maps by 5-adic fractions

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Chinese Science Bulletin 1997年第10期42卷 799-803页

作者： MAI Jiehuainstitute of mathematics, shantou university, shantou 515063, china institute of mathematics Shantou University Shantou 515063 China

SMALE established a famous horseshoe model,which shows that there exists a phe-nomenon of chaos in some self-homeomorphisms of discs on the plane although these homeo-morphisms are not very complex.A main conclusion o... 详细信息

关键词： Smale horseshoe symbolic space shift map S-adic fraction topological coqjugacy.