منابع مشابه
Normal Points for Generic Hyperbolic Maps
Given a continuous transformation on a compact space we call a point normal if the ergodic averages of any continuous functions converge. For example, the familiar notion of a normal number 0 < ξ < 1 in the context of number theory is one which is normal in the above sense for all of the transformations T : [0, 1) → [0, 1) given by T (ξ) = dξ (mod 1) for each d ≥ 2. In this note, we want to 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 کاملShadowing by Non Uniformly Hyperbolic Periodic Points and Uniform Hyperbolicity
We prove that, under a mild condition on the hyperbolicity of its periodic points, a map g which is topologically conjugated to a hyperbolic map (respectively, an expanding map) is also a hyperbolic map (respectively, an expanding map). In particular, this result gives a partial positive answer for a question done by A. Katok, in a related context.
متن کاملPrey-Predator System; Having Stable Periodic Orbit
The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.
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: Fundamenta Mathematicae
سال: 2001
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm169-1-1