Chaotic functions with zero topological entropy
نویسندگان
چکیده
منابع مشابه
Topological entropy on zero-dimensional spaces
Let X be an uncountable compact metrizable space of topological dimension zero. Given any a ∈ [0,∞] there is a homeomorphism on X whose topological entropy is a.
متن کاملA New Chaotic System with Positive Topological Entropy
This paper introduces a new simple system with a butterfly chaotic attractor. This system has rich and complex dynamics. With some typical parameters, its Lyapunov dimension is greater than other known three dimensional chaotic systems. It exhibits chaotic behavior over a large range of parameters, and the divergence of flow of this system is not a constant. The dynamics of this new system are ...
متن کاملCost and dimension of words of zero topological entropy
Let A∗ denote the free monoid generated by a finite nonempty set A. In this paper we introduce a new measure of complexity of languages L ⊆ A∗ defined in terms of the semigroup structure on A∗. For each L ⊆ A∗, we define its cost c(L) as the infimum of all real numbers α for which there exist a language S ⊆ A∗ with pS(n) = O(n) and a positive integer k with L ⊆ S.We also define the cost dimensi...
متن کاملEntropy operator for continuous dynamical systems of finite topological entropy
In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
متن کاملParry measure and the topological entropy of chaotic repellers embedded within chaotic attractors
We study the topological entropy of chaotic repellers formed by those points in a given chaotic attractor that never visit some small forbidden hole-region in the phase space. The hole is a set of points in the phase space that have a sequence α = (α0α1 . . . αl−1) as the first l letters in their itineraries. We point out that the difference between the topological entropies of the attractor an...
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: Transactions of the American Mathematical Society
سال: 1986
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1986-0849479-9