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As an application, it is proved that a continuous map of an interval is chaotic iff it is distributively chaotic in a sequence.

给出紧度量空间上连续映射按序列分布混沌的一个充分条件,并证明区间连续自映射是混沌的当且仅当它是按某序列分布混沌的。

For a continuous map of trees or graphs to itself, we show the properties that every isolated chain recurrent point is an eventually periodic point, and an isolated chain recurrent point which is not in the orbit of a critical point and has no critical point in its orbit is a periodic point.

第三章主要讨论一些特殊连续统上连续自映射的孤立链回归点与最终周期点之间的关系,证明了对树或图上连续自映射,孤立链回归点是最终周期的,且如孤立链回归点不在临界点的轨道中,也无临界点在其轨道中,则此点必为周期的。

LetJbe a continuous map of a unit square into itself and f can be descendent. This paperpresents slecific featrue for f with homochinic points.

设f是可降的二维自映射,本文给出了这类自映射有异状点的特征──存在f的链回归点,但不是周期点,并且f的队极限点集与周期点集的交非空。

In this paper we investigate the dynamical properties of continuous mapson a class of hereditarily decomposable chainable continua and the structure ofthe inverse limit space using a piecewise monotone continuous map with zerotopological entropy on a finite graph as a single bonding map.

本文研究了一类遗传可分可链连续统上连续自映射的动力性质并且对有限图上逐段单调且具有零拓扑熵的连续自映射的逆极限空间的拓扑结构进行了较为细致的刻画。

Conley index; prime isolated invariant set; bifurcation point; discontinuity dynamical systems; finite piecewise continuous map; coding; rigorous computer assisted proof; chaos; Ikeda map

基础科学,数学,动力系统理论Conley指标;素孤立不变集;分支点;间断动力系统;有限分片连续映射;编码;计算机严格辅助证明;混沌; Ikeda映射

Chapter 5 is devoted the study of fuzzy optimization in fuzzy convex analysis structure given in chapter 4. We consider the problems of minimizing and maximizing a convex fuzzy mapping over a convex set and develop necessary and/or sufficient optimality conditions.

在第5章中,首先,在第4章所建立模糊凸分析的结构基础上,考虑了凸模糊映射的极值问题,得到了凸模糊映射取得极值的充分/必要条件。

It is proved that strictly efficient point set of the objective space is connected when objective function is cone convex-like,and that if objective function is cone convex set-valued mapping,then strictly efficient solution set is also connected.

证明了当目标函数为锥类凸的集值映射时,其目标空间里的严有效点集是连通的;若目标函数为锥凸的集值映射时,其严有效解集也是连通的。

In this paper, we use the Pluricomplex Green function to investigate the iterative poperties of holomorphic self-maps, which are defined on the unit disk, the unit ball, the bounded strongly convex domain and the bidisc.

基于该思路,本文就利用多复Green函数,在分别研究了单位圆、超球、有界强凸域以及双圆柱上全纯自映射迭代的基础上,进一步研究了一特殊非凸域-Hartogs三角形上全纯自映射迭代的性质。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念,利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则,证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素,并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

A new and efficient geometrical correction algorithm is proposed for MODIS IB data, and possesses of the merits of forward mapping and inverse mapping algorithms; 3. Algorithms to remove stripe noise in MODIS IB data are developed, including Fourier Transform, Wavelet Transform and interpolation method; 4. MODIS data composite algorithm is developed, and a 16-day composite map covering entire China and its outward is produced.

本文介绍了开发MODIS数据基础处理软件的基本算法和成果,主要包括:(1)用C++语言开发和实现了MODIS数据基础处理软件;(2)研究和发展了一个普适的、全新的、兼有前向映射和后向映射优点的MODIS 1B数据几何纠正算法;(3)研究和实现了MODIS条带噪声消除算法,包括傅立叶变换、小波变换和插值三种算法,并对其进行了比较;(4)研究和实现了MODIS影像合成算法,并在此基础上完成了中国及周围地区16天MODIS彩色影像和植被指数的合成。

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然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

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