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NORMAL CRITERIA FOR A FAMILY OF HOLOMORPHIC CURVES

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Acta Mathematica Scientia 2021年第6期41卷 1887-1895页

作者： daochun sun Yingying HUO Fujie CHAI School of Mathematics South China Normal UniversityGuangzhou510631China School of Applied Mathematics Guangdong University of TechnologyGuangzhou510520China School of Financial Mathematics&Statistics Guangdong University of FinanceGuangzhou510521China

In this paper,we extend the concept of holomorphic curves sharing hyperplanes and introduce definitions of restricted hyperplanes and partial shared ***,we prove several normal criteria of the family of holomorphic curves and holomorphic mappings that concern restricted hyperplanes and partial shared *** results generalize the Montel-type normal criterion of holomorphic curves.

关键词： complex projective spaces holomorphic curves holomorphic mappings normal families restricted hyperplanes

THE BOREL DIRECTIONS OF ALGEBROIDAL FUNCTION AND ITS COEFFICIENT FUNCTIONS

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Acta Mathematica Scientia 2014年第2期34卷 241-251页

作者：张少华张晓梅孙道椿 School of Mathematics and Statistics Hubei University of Science and Technology Guangzhou Maritime College School of Mathematics Science South China Normal University

In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk ... 详细信息

关键词： Algebroidal function coefficient function Borel direction.

THE GROWTH AND BOREL POINTS OF RANDOM ALGEBROID FUNCTIONS IN THE UNIT DISC

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Acta Mathematica Scientia 2021年第4期41卷 1119-1129页

作者： daochun sun Yingying HUO Fujie CHAI School of Mathematics South China Normal UniversityGuangzhou 510631China School of Applied Mathematics Guangdong University of TechnologyGuangzhou 510520China School of Financial Mathematics&Statistics Guangdong University of FinanceGuangzhou 510521China

In this paper,we construct k-valued random analytic algebroid functions for the first *** combining the properties of random series,we study the growth and Bor el points of random analytic algebroid functions in the u... 详细信息

关键词： Sequence of random variables algebroid functions growth Borel points

ON THE INVERSE IMAGE SET OF RATIONAL FUNCTIONS

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Acta Mathematica Scientia 2007年第3期27卷 541-548页

作者：孙道椿 Department of Mathematics South China Normal University

This article studies the inverse image of rational functions. Several theorems are obtained on the Julia set expressed by the inverse image, and a mistake is pointed out in ***＇ theorem incidentally.

关键词： Rational dynamical system Julila set Fatou component

On Singularity of Function Family

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Wuhan University Journal of Natural Sciences 1996年第2期1卷 129-136页

作者： sun daochun

We define a notion of singularity for a family or meromorphic functions. Some sufficient and necessary conditions for this singularity are estabilished.

关键词： normal family covering surface characteristic island

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Julia集的生成

数学物理学报（A辑） 2006年第2期26卷 161-167页

作者：孙道椿华南师范大学数学系广州510631

该文运用Hausdorff意义下的极限研究了有理动力系统的Julia集,用新的思路证明了几个关于Julia集的定理．为计算机作Julia集提供了更多的理论根据．

关键词： Hausdoff距离空间有理动力系统 Julia集

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半平面上的随机Dirichiet级数

数学物理学报（A辑） 1999年第1期19卷 107-112页

作者：孙道椿华南师范大学数学系广州510631

研究右半平面上的随机Dirichlet级数．为此需要给定一个系数条件，有的文章对此有专门研究．这里首先给出一个较宽的系数条件，并证明在一定意义上是最好的．通常随机级数研究的是同分布随机变量序列，这里通过推广Paley－Zygmund引理... 详细信息

研究右半平面上的随机Dirichlet级数．为此需要给定一个系数条件，有的文章对此有专门研究．这里首先给出一个较宽的系数条件，并证明在一定意义上是最好的．通常随机级数研究的是同分布随机变量序列，这里通过推广Paley－Zygmund引理，把随机级数的研究引向一般得多的不要求同分布的情况．由于这些是研究随机级数的基础内容．因此应用该文的结论及方法，可以推广和改良一系列定理，并使得有关问题的研究变得方便简洁．

关键词：随机级数特征函数值分布半平面 DIRICHLET级数随机变量

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单位圆内的随机亚纯函数

数学物理学报（A辑） 2009年第3期29卷 623-629页

作者：孙道椿华南师范大学数学科学学院广州510631

该文第一次研究了随机亚纯函数的增长性及Borel例外值。得到两个十分基本且有趣的定理。

关键词：随机变量序列亚纯函数增长性例外值

Design optimization and testing of a morphing leading-edge with a variable-thickness compliant skin and a closed-chain mechanism

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Chinese Journal of Aeronautics 2024年第7期37卷 285-300页

作者： Zhigang WANG Xiasheng sun Yu YANG Wenjie GE daochun LI Jinwu XIANG Panpan BAO Qi WU Andrea DA RONCH School of Aeronautical Science and Engineering Beihang UniversityBeijing 100191China National Key Laboratory of Strength and Structural Integrity Aircraft Strength Research Institute of ChinaXi’an 710065China School of Aeronautics and Astronautics Shanghai Jiao Tong UniversityShanghai 200240China School of Mechanical Engineering Northwestern Polytechnical UniversityXi’an 710072China Faculty of Engineering and Physical Sciences University of SouthamptonSouthampton SO171JBUK

Climate warming and the increased demand in air travels motivate the aviation industry to urgently produce technological *** of the most promising innovations is based on the smoothly continuous morphing leading-edge *** study proposes a two-step process for the design of a morphing leading-edge,including the optimization of the outer variable-thickness composite compliant skin and the optimization of the inner kinematic *** the compliant skin design,an optimization of the variable thickness composite skin is proposed based on a laminate continuity model,with laminate continuity constraint and other manufacturing *** laminate continuity model utilizes a guiding sequence and a ply-drop sequence to describe the overall stacking sequence of plies in different thickness regions of the complaint *** the inner kinematic mechanism design,a coupled four-bar linkage system is proposed and optimized to produce specific trajectories at the actuation points on the stringer hats of the compliant skin,which ensures that the compliant skin can be deflected into the aerodynamically optimal ***,a morphing leading-edge is manufactured and *** results are compared with numerical predictions,confirming the feasibility of the morphing leading-edge concept and the overall proposed design approach.

关键词： Optimization Design Morphing wing Compliant skin Kinematics Leading-edge Control surfaces