1) sensitive dependence
敏感依赖
1.
In this paper,we present an improved algorithm based on the algorithm in reference [1], using the sensitive dependence of a chaos system on initial conditions,and the ergodicity and nonperiodicity of chaos orbits.
利用了混沌系统对初始条件敏感依赖性及混沌轨道的遍历性与非周期性,对文献[1]算法进行了改进。
2.
As applications, we prove the following results: (i) If / has pointwise pseudo-orbit tracing property, for any k ∈ Z+, and fk is chain transitive, then for any k ∈ Z+, fk has open set transitive ; (ii) If f has pointwise pseudo-orbit tracing property, and for any n ∈ Z+,fn is chain transitive, then f has sensitive dependence on initial conditions; (iii.
作为应用,证明如下结论:(i)若f具有逐点伪轨跟踪性质,且对任意k∈Z+,fk为链转换的,那么对任意k∈Z+,fk为开集转换;(ii)若f具有逐点伪轨跟踪性质,且对任意n∈Z+,fn为链转换的,则f具有初始敏感依赖性质;(iii)若f为开集混合的,且具有逐点伪轨跟踪性质,那么f具有性质P;(iv)设f:(X,d)→(X,d)是同胚映射,那么f具有逐点伪轨跟踪性质当且仅当移位映射σf具有逐点伪轨跟踪性质。
3.
In the second part(Chapter 2), we study the sensitive dependence of semigroup actions.
第二部分(第二章),着重研究了半群作用的敏感依赖性。
2) sensitivity
[英][,sensə'tɪvəti] [美]['sɛnsə'tɪvətɪ]
敏感依赖性
1.
The method searches from several different initial points and detracts the sensitivity of initial value.
基于混沌理论的基本概念,分析了几种不同的混沌变量用于优化问题的方法,针对混沌算法对初始值的敏感依赖性,提出了采用并行计算的混沌优化方法(P-Chaos)。
4) sensitive dependence on initial conditions
初值敏感依赖
1.
On topological strong mixing and sensitive dependence on initial conditions;
关于拓扑强混合及初值敏感依赖
2.
Results If fis transitivity,mixing,strong transitivity and sensitive dependence on initial conditions,and g satisfies certain conditions,then fg is transitivity,mixing,strong transitivity and sensitive dependence on initial conditions accordingly.
采用分析法研究了拓扑动力系统(X,f g)的动力性状与拓扑动力系统(X,f)及(X,g)的动力性状之间的关系,结果表明,若f是拓扑传递、拓扑混合、拓扑强传递和初值敏感依赖的,且g满足一定条件,则fg相应地也是拓扑传递、拓扑混合、拓扑强传递和初值敏感依赖的。
5) sensitive dependence on initial condition
对初值敏感依赖
1.
This paper generalizes the conception of "sensitive dependence on initial condition "in the topology dynamical system.
推广了拓扑动力系统中“对初值敏感依赖”的概念,给出了局部道路连通空间中关于“对初值敏感依赖”和已推广的“对初值敏感依赖”之间的关系,为寻找混沌的条件提供了更好的途径。
6) sensitive dependence on the initial conditions
初始条件敏感依赖性
补充资料：不依赖空气的动力装置