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。
As an application, it is proved that a continuous map of an interval is chaotic iff it is distributively chaotic in a sequence.
前馈神经网络由于具有理论上逼近任意非线性连续映射的能力，因而非常适合于非线性系统建模及构成自适应控制。
Because the feedforward neural network has an ability of approach to arbitrary nonlinear mapping, it can be used effectively in the modeling and controlling of nonlinear system.
在第二章中，我们讨论紧致度量空间上连续自映射的可链点集的性质，特别是链回归点的可链点集的性质。
In Chapter Two, we discuss properties of the set of chainable points of a continuous self-map fon an impact metric space, especially those of chain recurrent points.
讨论圆周上一类比扩张映射更广泛的连续映射，证明这种映射是拓扑稳定的， 并且其逆极限系统是可扩。
The present paper shows that a class of continuous maps on circles which is extensiver than expand maps is topological stable.
给出了紧致度量空间上连续自映射的周期点集具有局部度量稳定性的必要条件和充分条件。
In this paper, a necessary and a sufficient condition for the continuous map on a compact metric space whose set of period points has the property of locally metric stability is obtained.
可连续扩张到边界的连续映射在列紧集上具有若干与紧集上相同的性质。
A continuous mapping on a sequential compact set that can be continuously extended to the boundary has the same properties as on a compact set.
本文研究了紧致度量空间上连续自映射及连续半流的不变测度。
In this paper, we study the invariant measures of a continuous map and a continuous semi-flow on a compact metric space.
利用单位分解，给出了多面体上连续自映射的拓扑压的函数定义，并证明了它与拓扑压的标准定义是等价的。
The topological pressure of a transformation is expressed in terms of partitions of unity. Its equivalence to the standard definition is showed.
利用单位分解，给出了多面体上连续自映射的拓扑压的函数定义，并证明了它与拓扑压的标准定义是等价的。
The topological pressure of a transformation is expressed in terms of partitions of unity. Its equivalence to the standard definition is showed.
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