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Topological Entropy, Topological Pressure and Topological Pseudo Entropy of Iterated Function Systems on Uniform Spaces
In this paper, we introduce the notions of topological entropy, topological pressure and topological pseudo-entropy of iterated function systems( IFS )...
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Topological Entropy and Sequence Entropy for Hom Tree-Shifts on Unexpandable Trees
This article explores the topological entropy and topological sequence entropy of hom tree-shifts on unexpandable trees. Regarding topological...
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Topological Entropy of Iterated Set-Valued Dynamical Systems
This paper studies topological entropy and pseudo-entropy of iterated set-valued function systems. Firstly, the notions of topological entropy...
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Topological Entropy and Metric Entropy for Regular Impulsive Semiflows
Several notions of topological entropy for non necesarily continuous semiflows were introduced because the classical notion of topological entropy...
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Topological Entropy of Generalized Bunimovich Stadium Billiards
We estimate from below the topological entropy of the generalized Bunimovich stadium billiards. We do it for long billiard tables, and find the limit...
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Variational principles for topological invariance entropy of semigroup actions
We introduce three types of topological invariance entropies with respect to admissible partitions for semigroup actions with a regular system and...
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On locally compact groups of small topological entropy
We discuss the finiteness of the topological entropy of continuous endomorphims for some classes of locally compact groups. Firstly, we focus on the...
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Topological entropy of switched nonlinear and interconnected systems
A general upper bound for topological entropy of switched nonlinear systems is constructed, using an asymptotic average of upper limits of the matrix...
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On the Topological Entropy of Saturated Sets for Amenable Group Actions
Let ( X , G ) be a G -action topological system, where G is a countable infinite discrete amenable group and X a compact metric space. We prove a...
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Variational principle for neutralized Bowen topological entropy on subsets of free semigroup actions
In this paper, we introduce the notions of neutralized Bowen topological entropy, neutralized weighted Bowen topological entropy, neutralized...
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The Set of Limiting Realizable Values of Topological Entropy of Continuous Map**s of a Cantor Set
AbstractIt is established that in any neighborhood of each continuous map** of a Cantor perfect set there is a map** with a given topological...
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Topological Stability and Entropy for Certain Set-valued Maps
In this paper, the dynamics (including shadowing property, expansiveness, topological stability and entropy) of several types of upper...
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Delay Parameter Selection in Permutation Entropy Using Topological Data Analysis
Permutation entropy is a powerful tool for quantifying the complexity of a signal which includes measuring the regularity of a time series....
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The Multi-sensitivity and Topological Sequence Entropy of Dynamical System with Group Action
In this paper, we study the relationship between the multi-sensitivity and the topological maximal sequence entropy of dynamical systems for general...
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Topological r-entropy and Measure Theoretic r-entropy of Flows
The topological r -entropy and measure theoretic r -entropy of a flow are studied. For a flow ( X,φ ), it is shown that topological (measure theoretic) r -...
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Topological Complexity: Entropy Point, Metric Mean Dimension in Control Systems
We introduce two new notions to describe the topological complexity of control systems. We first introduce a notion called entropy point to...
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Topological Entropy for Arbitrary Subsets of Infinite Product Spaces
In this note, a notion of generalized topological entropy for arbitrary subsets of the space of all sequences in a compact topological space is...
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Entropy collapse versus entropy rigidity for Reeb and Finsler flows
On every closed contact manifold there exist contact forms with volume one whose Reeb flows have arbitrarily small topological entropy. In contrast,...
