منابع مشابه
On Periodic Shadowing Property
In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorphism has the periodic shadowing property if and only if so does every lift of it to the universal covering space. Also, it is proved that continuous mappings on a compact metric space with the periodic shadowing and the average shadowing property also have the shadowing property and then are chao...
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The orbital shadowing property (OSP) of discrete dynamical systems on smooth closed manifolds is considered. The nondensity of OSP with respect to the C1-topology is proved. The proof uses the method of skew products developed by Ilyashenko and Gorodetskĭı.
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متن کاملLimit Shadowing Property
In this paper pseudoorbits of discrete dynamical systems are considered such that the one{step errors of the orbits tend to zero with increasing indices. First it is shown that close to hyperbolic sets such orbits are shadowed by true trajectories of the system with shadowing errors also tending to zero. Then the rates of convergence are studied via considering pseudoorbits such that the error ...
متن کاملShadowing Property of Continuous Maps
We study continuous maps of an interval into itself. We find the necessary and sufficient condition for the maps of the type 2" to have the shadowing property. Further we show that any chaotic map, which has only cycles of order a power of 2, does not have the shadowing property. Introduction Let /:/(=(0;l))—»7 be a continuous map of the interval 7 to itself (i.e., / G C°(7, 7)). The orbit of x...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2008
ISSN: 1015-8634
DOI: 10.4134/bkms.2008.45.4.645