Results 1 to 10 of about 294 (24)
On some dense sets in the space of dynamical systems
Advanced Nonlinear Studies, 2023 The natural consequence of the existence of different kinds of chaos is the study of their mutual dependence and the relationship between these concepts and the entropy of systems. This observation also applies to the local approach to this issue.
Pawlak Ryszard J., Poprawa Justyna
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A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems
Open Mathematics, 2022 This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
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Attractiveness of the Haar measure for linear cellular automata on Markov subgroups [PDF]
, 2006 For the action of an algebraic cellular automaton on a Markov subgroup, we show that the Ces\`{a}ro mean of the iterates of a Markov measure converges to the Haar measure.
Maass, Alejandro +3 more
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Functional envelope of a non-autonomous discrete system
Nonautonomous Dynamical Systems, 2017 Let (X, F = {fn}n =0∞) be a non-autonomous discrete system by a compact metric space X and continuous maps fn : X → X, n = 0, 1, ....We introduce functional envelope (S(X), G = {Gn}n =0∞), of (X, F = {fn}n =0∞), where S(X) is the space of all continuous ...
Barzanouni Ali
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Localization of the Chain Recurrent set using Shape theory and Symbolical Dynamics
Topological Algebra and its Applications, 2019 The main aim of this paper is localization of the chain recurrent set in shape theoretical framework. Namely, using the intrinsic approach to shape from [1] we present a result which claims that under certain conditions the chain recurrent set preserves ...
Shoptrajanov M.
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Topological mixing properties of rank‐one subshifts
Transactions of the London Mathematical Society, 2019 We study topological mixing properties and the maximal equicontinuous factor of rank‐one subshifts as topological dynamical systems. We show that the maximal equicontinuous factor of a rank‐one subshift is finite. We also determine all the finite factors
Su Gao, Caleb Ziegler
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Mixing rate in infinite measure for Z^d-extension, application to the periodic Sinai billiard [PDF]
, 2017 We study the rate of mixing of observables of Z^d-extensions of probability preserving dynamical systems. We explain how this question is directly linked to the local limit theorem and establish a rate of mixing for general classes of observables of the ...
Pène, Françoise
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Extreme Value Laws in Dynamical Systems for Non-smooth Observations [PDF]
, 2010 We prove the equivalence between the existence of a non-trivial hitting time statistics law and Extreme Value Laws in the case of dynamical systems with measures which are not absolutely continuous with respect to Lebesgue.
Ana Cristina +3 more
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Extremal dichotomy for uniformly hyperbolic systems [PDF]
, 2015 We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly ...
Carvalho, Maria +4 more
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The Structure on Invariant Measures of $C^1$ generic diffeomorphisms
, 2010 Let $\Lambda$ be an isolated non-trival transitive set of a $C^1$ generic diffeomorphism $f\in\Diff(M)$. We show that the space of invariant measures supported on $\Lambda$ coincides with the space of accumulation measures of time averages on one orbit ...
Ch. Bonatti +8 more
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