Results 31 to 40 of about 1,640 (101)
Another extension of Orlicz‐Sobolev spaces to metric spaces
Abstract and Applied Analysis, Volume 2004, Issue 1, Page 1-26, 2004., 2004 We propose another extension of Orlicz‐Sobolev spaces to metric spaces based on the concepts of the Φ‐modulus and Φ‐capacity. The resulting space NΦ1 is a Banach space. The relationship between NΦ1 and MΦ1 (the first extension defined in Aïssaoui (2002)) is studied.
Noureddine Aïssaoui
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Fractal and fractional dynamics for a 3D autonomous and two-wing smooth chaotic system
Alexandria Engineering Journal, 2020 Some existing chaotic systems cannot display dynamics with attractors showing a fractal representation. This is due, not only to the nature of the phenomenon under description, but also to the type of derivative operator used to express the whole model ...
Emile F. Doungmo Goufo
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Self‐similar random fractal measures using contraction method in probabilistic metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3299-3313, 2003., 2003 Self‐similar random fractal measures were studied by Hutchinson and Rüschendorf. Working with probability metric in complete metric spaces, they need the first moment condition for the existence and uniqueness of these measures. In this paper, we use contraction method in probabilistic metric spaces to prove the existence and uniqueness of self‐similar
József Kolumbán +2 more
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Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon
Analysis and Geometry in Metric Spaces, 2021 We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem of Hata from 1985 asserts that every connected attractor of an IFS is locally connected and path-connected.
Badger Matthew, Vellis Vyron
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The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 1, Page 11-21, 2002., 2002 We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have positive and finite Hausdorff measures, which in certain extent generalize some of the known results ...
Hongwen Guo, Dihe Hu
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Hyperbolic dimension of Julia sets of meromorphic maps with logarithmic tracts
, 2007 We prove that for meromorphic maps with logarithmic tracts (e.g. entire or meromorphic maps with a finite number of poles from class $\mathcal B$), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1 ...
A. Zdunik +4 more
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Strongly nonlinear potential theory on metric spaces
Abstract and Applied Analysis, Volume 7, Issue 7, Page 357-374, 2002., 2002 We define Orlicz‐Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results. We prove that each Orlicz‐Sobolev function has a quasi‐continuous representative. We give estimates for the capacity of balls when
Noureddine Aïssaoui
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Arcwise connected attractors of infinite iterated function systems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 The aim of this paper is to give a sufficient condition for the attractor of an infinite iterated function system to be arcwise connected.
Dumitru Dan
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Box-counting dimension of oscillatory solutions to the Emden-Fowler equation
, 2018 The box-counting dimension of graphs of oscillatory solutions to the Emden-Fowler equation is studied. The half-linear equation is also considered. Mathematics subject classification (2010): 34C10, 28A80.
Takanao Kanemitsu, Satoshi Tanaka
semanticscholar +1 more source
On some non-conformal fractals
, 2010 This paper presents a simple method of calculating the Hausdorff dimension for a class of non-conformal ...
Gui Y +5 more
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