1) k-piece monotone continuous self mapping
k段单调连续自映射
2) m-piece monotone continuous self-map
m段单调连续自映射
1.
In this paper it was obtained a necessary and sufficient condition for m-piece monotone continuous self-map F of the iterval I=[0,1]with N(F)=N(F2) to have the n-fold iterative solutions.
本文得到了区间I=[0,1]上满足N(F)=N(F2)的m段单调连续自映射F具有n阶连续迭代根的一个充要条件。
3) k-continuous mapping
k连续映射
1.
In this paper,we give the definitions of k-continuous mapping and k-path connectedness,discuss the characterizations and basic properties of k-continuous mapping,show that it can preserve k-connectedness and k-path connectedness.
本文给出k连续映射和k道路连通性的定义,讨论k连续映射等价刻画和性质,证明了k连续满映射保持k连通性和k道路连通性,进而研究k道路连通性的基本性质,证明了k道路连通性是k连通的,k道路连通性是同胚不变性和有限可积;最后讨论k道路连通分支。
4) Continuous self-Maps on Interval
线段上连续自映射
5) discontinuous and nononotone nonlinear multivalued mapping
不连续非单调多值映射
6) continuous map
连续自映射
1.
Specification is an important dynamical property, and it is equivalent to topological mixing for continuous mapping on the interval and the tree,and for the continuous map of compact metric space,POTP and topological mixing imply weak specification.
文章对紧致度量空间上连续自映射,研究了弱specification性质与各种混沌之间的关系,证明了具有弱specification性质的系统是Li-Yorke意义下混沌的,是Ruelle-Takens意义下混沌的,是处处混沌的,并且具有性质P。
2.
Then we prove that the system with weak specification must have a continuous map f:X→X with an invariant probability measure m ,such that Suppm=X and M(f)=X.
对紧致度量空间上连续自映射,研究了弱Specification性质与不变概率测度之间的关系,证明了具有弱Specification性质的系统一定存在f:X→X的不变概率测度m,使得Suppm=X,并且f:X→X有满测度中心,即M(f)=X。
3.
In this paper, we study the invariant measures of a continuous map and a continuous semi-flow on a compact metric space.
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。
补充资料：单调映射
单调映射
monotone mapping
单调映射【训扣汉J此服即.啥;MoHoTO“Hoe OTO6p“e-，，一Iel 保序映射(isotonem叩pmg)和反序映射(antitollemapping).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条