The triangular maps with closed sets of periodic points
نویسندگان
چکیده
منابع مشابه
Continuous Maps of the Circle with Finitely Many Periodic Points
Let f be a continuous map of the circle into itself . The main purpose of this paper is to study the properties of the unstable manifold associated to a periodic point of f . Let 2(f) denote the nonwandering set of f . Suppose f has finitely many periodic points . Then, using the unstable manifolds associated to periodic points of f, three theorems are proved providing complete answers to the f...
متن کاملContinuous Maps of the Interval Whose Periodic Points Form a Closed Set
We show that for a continuous map of a closed interval to itself, if the set of periodic points is closed, then every recurrent point is periodic. If, furthermore, the set of least periods of the periodic points is finite, then every nonwandering point is periodic. This answers a question of L. Block [Proc. Amer. Math. Soc. 67 (1977), 357-360]. Introduction. In [1] and [2], L. Block studied con...
متن کاملPeriodic Points of Latitudinal Sphere Maps
For the maps of the two-dimensional sphere into itself that preserve the latitude foliation and are differentiable at the poles, lower estimates of the number of fixed points for the maps and their iterates are obtained. Those estimates also show that the growth rate of the number of fixed points of the iterates is larger than or equal to the logarithm of the absolute value of the degree of the...
متن کاملFixed Points and Periodic Points of Semiflows of Holomorphic Maps
Let φ be a semiflow of holomorphic maps of a bounded domain D in a complex Banach space. The general question arises under which conditions the existence of a periodic orbit of φ implies that φ itself is periodic. An answer is provided, in the first part of this paper, in the case in which D is the open unit ball of a J∗-algebra and φ acts isometrically. More precise results are provided when t...
متن کاملStatistical Properties of Maps with Indifferent Periodic Points
In this note we prsent an axiomatic approach to the decay of correlations for maps of arbitrary dimension with indiierent periodic points. As applications, we apply our results to the well-known Manneville-Pomeau equation and the inhomoge-neous diophantine approximation algorithm. 0. Introduction In recent papers, Isola 4], Liverani et al 6], Young 9] and Hu 3] considered rates of mixing for th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.06.028