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Decay of correlations and memory loss for Lasota-Yorke convex maps

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2021; 36 (3)

For a class of piecewise convex maps f on the interval [0,1] [0,1], we show that f has a unique absolutely continuous invariant probability measure mu......

Unstable topological entropy in mean u-metrics for partially hyperbolic systems

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2021; 36 (3)

In this paper, we give the definition of unstable topological entropy in mean u-metrics (the mean metrics in the unstable manifold) for partially hype......

Hausdorff dimension of frequency sets of univoque sequences

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2021; 36 (2)

We study the set Gamma consisting of univoque sequences, the set Gamma consisting of sequences in which the lengths of consecutive zeros and consecuti......

Topological pressure for an iterated function system

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2021; 36 (3)

In this paper, we introduce a notion of topological pressure, which is different from the LMW's and ML's for an iterated function system. We find out ......

Hypercyclicity of weighted translations on locally compact Hausdorff spaces

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2021; 36 (3)

Let G be a locally compact second countable Hausdorff space with a positive regular Borel measure and omega is a weight on G. In this article, we prov......

Physical measures for partially hyperbolic flows with mostly contracting centre

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2021; 36 (3)

In this paper, we study the physical measures for a class of partially hyperbolic flows with mostly contracting centre. Let X be a C-2 vector field on......

The dynamics of nonautonomous dynamical systems with the large deviations theorem

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2021; 36 (3)

Let (X, F) be a nonautonomous dynamical system and mu be a Borel measure on X with a full support. The purpose of this paper is to introduce the conce......

Asymptotic behaviour of stochastic heat equations in materials with memory on thin domains

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2020; 35 (4)

This paper deals with the dynamical behaviour of a stochastic integro-differential equation driven by additive noise defined on thin domains. We prove......

Weighted upper metric mean dimension for amenable group actions

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2020; 35 (3)

In this paper, we formulate the notions of weighted upper metric mean dimensions and weighted upper measure-theoretic mean dimensions for amenable gro......

Dimensions in infinite iterated function systems consisting of bi-Lipschitz mappings

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2020; 35 (4)

We study infinite iterated function systems (IIFSs) consisting of bi-Lipschitz mappings instead of conformal contractions, focussing on IFSs that do n......

Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain(dagger)

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2019; 34 (4)

In this paper, we investigate the long-time behavior of the solutions for the following nonclassical diffusion equations of Kirchhoff type First, we p......

JIF:0.97

Centre manifolds for infinite dimensional random dynamical systems

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2019; 34 (2)

Stochastic centre manifolds theory are crucial in modelling the dynamical behaviour of complex systems under stochastic influences. The existence of s......

JIF:0.97

Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2019; 34 (2)

This paper deals with the asymptotic behaviour of solutions for non-autonomous stochastic fractional Ginzburg-Landau equations driven by multiplicativ......

JIF:0.97

Measure-theoretic pressure and topological pressure in mean metrics

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2019; 34 (2)

In this paper, using spanning sets in mean metrics we construct a new definition of measure-theoretic pressure of ergodic measures over a topological ......

JIF:0.97

A new universal real flow of the Hilbert-cubical type

期刊: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2019; 34 (2)

We provide a new universal real flow of the Hilbert-cubical type. We prove that any real flow can be equivariantly embedded in the translation on , wh......

JIF:0.97

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