Results 1 to 10 of about 540 (41)
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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A bridge theorem for the entropy of semigroup actions
Topological Algebra and its Applications, 2020 The topological entropy of a semigroup action on a totally disconnected locally compact abelian group coincides with the algebraic entropy of the dual action.
Bruno Anna Giordano
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A characterization of compact complex tori via automorphism groups [PDF]
, 2013 We show that a compact Kaehler manifold X is a complex torus if both the continuous part and discrete part of some automorphism group G of X are infinite groups, unless X is bimeromorphic to a non-trivial G-equivariant fibration.
A Fujiki +13 more
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Twisted Alexander polynomials detect the unknot [PDF]
, 2006 The group of a nontrivial knot admits a finite permutation representation such that the corresponding twisted Alexander polynomial is not a unit.Comment: This is the version published by Algebraic & Geometric Topology on 14 November ...
Crowell +6 more
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Topological entropy for positively weak measure expansive shadowable maps
Open Mathematics, 2018 In this paper, we consider positively weak measure expansive homeomorphisms and flows with the shadowing property on a compact metric space X. Moreover, we prove that if a homeomorphism (or flow) has a positively weak expansive measure and the shadowing ...
Lee Manseob, Oh Jumi
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NONLINEARLY PERTURBED HEAT EQUATION
, 2014 We consider the linear heat equation with appropriate boundary conditions describing the temperature on a wire with adiabatic endpoints. We also consider a perturbation, which provokes a global change in the temperature of the wire.
M. Correia, C. Ramos, S. Vinagre
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On a notion of entropy in coarse geometry
Topological Algebra and its Applications, 2019 The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
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Bowen entropy for actions of amenable groups [PDF]
, 2016 Bowen introduced a definition of topological entropy of subset inspired by Hausdorff dimension in 1973 \cite{B}. In this paper we consider the Bowen's entropy for amenable group action dynamical systems and show that under the tempered condition, the ...
Chen, Ercai, Zheng, Dongmei
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Topological Algebra and its Applications, 2019 In this paper we review and explore the notion of topological entropy for continuous maps defined on non compact topological spaces which need not be metrizable. We survey the different notions, analyze their relationship and study their properties. Some
Cánovas Jose S.
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