Results 1 to 10 of about 852 (63)
First cohomology groups of minimal flows [PDF]
, 2021 Our interest in this work is in group extensions of minimal flows with compact abelian groups in the fibres. We study their structure from categorical and algebraic points of view, and describe relations of their dynamics to the one-dimensional algebraic-
Mat'uvs Dirb'ak
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The structure of fuzzy fractals generated by an orbital fuzzy iterated function system
Demonstratio Mathematica, 2023 In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X,d),(fi)i∈I,(ρi)i∈I)\left(\left(X,d),{({f}_{i})}_{i\in I},{\left({\rho }_{i})}_{i\in I}). Our result involves the following
Savu Irina +2 more
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Recurrent sets and shadowing for finitely generated semigroup actions on metric spaces
, 2021 We introduce various new type of recurrent sets for finitely generated semigroups on noncompact metric spaces that are conjugacy invariant, and obtain some basic properties of chain recurrent sets for semigroups via these new definitions.
Z. Shabani, A. Barzanouni, Xinxing Wu
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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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American Journal of Physiology - Gastrointestinal and Liver Physiology, 2020 We prove that every self-homeomorphism h : Ks → Ks on the inverse limit space Ks of the tent map Ts with slope s ∈ ( √ 2, 2] has topological entropy htop(h) = |R| log s, where R ∈ Z is such that h and σ are isotopic. Conclusions on all possible values of
H. Bruin, S. Štimac
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Weakly mixing sets and transitive sets for non-autonomous discrete systems
Advances in Differential Equations, 2014 In this paper we mainly study the weakly mixing sets and transitive sets of non-autonomous discrete systems. Some basic concepts are introduced for non-autonomous discrete systems, including a weakly mixing set and a transitive set.
Lei Liu, Yuejuan Sun
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, 2009 We prove the Ingram conjecture, ie we show that the inverse limit spaces of tent maps with different slopes in the interval a1;2c are nonhomeomorphic.
M. Barge, H. Bruin, S. vStimac
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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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Intertwined phenomenon of a kind of dynamical systems
Advances in Differential Equations, 2013 In this article, one kind of the dynamical system which has a near saddle point is investigated. An equivalent condition for the existence of intertwined attractors of the planar dynamical systems and the related results are given.MSC:34C35, 54H20.
Gang Li, Ming Chen
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