共查询到20条相似文献,搜索用时 46 毫秒
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孙太祥 《高校应用数学学报(英文版)》2002,17(3):313-318
Let f be a tree map,P(f) the set of periodic points of f and CR(f) the set of chain recurrent points of f. In this paper,the notion of division for invariant closed subsets of a tree map is introduced. It is proved that: (1) fhas zero topological entropy if and only if for any x∈CR(f)-P(f) and each natural number s the orbit of x under f^5 has a division; (2) If f has zero topological entropy,then for any xECR(f)--P(f) the w-limit set of x is an infinite minimal set. 相似文献
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主要讨论区间映射的链回归点的可链点集与链等价集的关系,证明了:若区间映射的拓扑熵是零,则它的链回归点的可链点集与链等价集相等.此外还得到了区间映射有正拓扑熵的几个等价条件. 相似文献
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圆周自映射的一些动力系统性质及其等价条件 总被引:8,自引:2,他引:6
本文介绍了近年来关于圆周连续自映射的动力系统性质的一些研究工作,并补充了一些新的结果,从链回归点的角度对圆周连续自映射作了新的探讨。 相似文献
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设X是一个紧致连通的ANR's,f:X→X是连续映射。于是f有Nielsen型数,NFn(f),它是数集{#Fix(g^n)g-f}的下界。本文在X是环时,给出NFn(f)是该数集的下确界,即存在连续映射g=f,使得#Fix(g^n)=NFn(f)的一个充分条件。 相似文献
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在动力系统讨论中往往出现干扰或假象.为了排除它们,本文引进测度中心概念,而为了决定测度中心的结构,又引进弱几乎周期点的概念.我们完全决定了测度中心的结构,并给出例子说明,测度中心可以真包含于运动中心以及存在在非游荡集上紊动但有零熵的系统. 相似文献
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Michael Reeken 《manuscripta mathematica》1974,12(2):163-193
We extend the study of critical points in [4]. We show that isolated components of critical points lying on a levelset can be described by an integer which is a lower bound to the “number” of critical points of any function near to the original one in C1-sup-norm. We also derive a global theorem about continua of critical values similar to that given by Rabinowitz for continua of solutions of certain nonlinear eigenvalue problems. We give a simple application of our abstract results to the problem of bifurcation for gradient systems when the linearization is not completely continuous. 相似文献
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Wild Recurrent Critical Points 总被引:1,自引:0,他引:1
It is conjectured that a rational map whose coefficients arealgebraic over Qp has no wandering components of the Fatou set.Benedetto has shown that any counterexample to this conjecturemust have a wild recurrent critical point. We provide the firstexamples of rational maps whose coefficients are algebraic over Qp and that have a (wild) recurrent critical point. In fact,it is shown that there is such a rational map in every one-parameterfamily of rational maps that is defined over a finite extensionof Qp and that has a Misiurewicz bifurcation. 相似文献
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在该文中作者决定了向量空间S_3((Z_2)^3)。就协边而言,作者利用此结果和“((Z_2)^k,q)流形丛”协边的正合序列,得到了((Z_2)^3,M^3)的固定孤立点集的所有协边类。 相似文献
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《数学学报(英文版)》2016,(11)
Let X denote a compact metric space with distance d and F:X×R→X or F_t :X→X denote a C~0-flow.From the point of view of ergodic theory,all important dynamical behaviors take place on a full measure set.The aim of this paper is to introduce the notion of Banach upper density recurrent points and to show that the closure of the set of all Banach upper density recurrent points equals the measure center or the minimal center of attraction for a C~0-flow.Moreover,we give an example to show that the set of quasi-weakly almost periodic points can be included properly in the set of Banach upper density recurrent points,and point out that the set of Banach upper density recurrent points can be included properly in the set of recurrent points. 相似文献
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借助于拓扑加群∑2的齐性,本给出了如下定理的一个证明:任一个图G上的任一既无孤立点也无内点的非空闭子集均是个Cantor集。 相似文献
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该文对单边符号空间上的转移自映射进行了讨论,证明了在非弱几乎周期的回复点集上存在不可数的SS混沌集. 相似文献
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We give a simple proof of the so-called Potential well theorem of Ioffe and Schwartzman, estimating the size of the potential well associated with a local minimum of a continuous functional defined on a complete metric space. Applications to the homotopical stability of an isolated local minimum and to an abstract bifurcation result, as in Ioffe and Schwartzman, are described. We also establish a result on homotopical stability of arbitrary isolated critical points of continuous functionals, thus extending a result of Chang. 相似文献
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On the Isolated Points of the Spectrum of Paranormal Operators 总被引:1,自引:0,他引:1
Atsushi Uchiyama 《Integral Equations and Operator Theory》2006,55(1):145-151
For paranormal operator T on a separable complex Hilbert space
we show that (1) Weyl’s theorem holds for T, i.e., σ(T) \ w(T) = π00(T) and (2) every Riesz idempotent E with respect to a non-zero isolated point λ of σ(T) is self-adjoint (i.e., it is an orthogonal projection) and satisfies that ranE = ker(T − λ) = ker(T − λ)*. 相似文献