Inverse shadowing of circle maps
نویسندگان
چکیده
منابع مشابه
Shadowing 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...
متن کاملContinuous Inverse Shadowing and Hyperbolicity
We study the concepts of continuous shadowing and continuous inverse shadowing with respect to various classes of admissible pseudo orbits, and characterize hyperbolicity and structural stability using the notion of continuous inverse shadowing.
متن کاملWeak Inverse Shadowing and Genericity
We study the genericity of the first weak inverse shadowing property and the second weak inverse shadowing property in the space of homeomorphisms on a compact metric space, and show that every shift homeomorphism does not have the first weak inverse shadowing property but it has the second weak inverse shadowing property.
متن کاملCircle Maps , Rotation Numbers
A lecture given at the Department of Biology, University of Oslo, at the \population dynamics seminar" 27.11.98.
متن کاملExpansive Maps of the Circle
After preparing this note, the paper [IT] was discovered which covers the more general situation of “expansive foliations”, and in codimension one their result includes Theorem1.2. We note that the proof given here is more self–contained and goes into more detail about the construction of the “ping-pong table” in the topological case, which the reader might still find of interest. Ralf Spatzier...
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: Bulletin of the Australian Mathematical Society
سال: 2004
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700036133