Results 271 to 280 of about 6,885,149 (320)

CERTAIN INTEGRAL INEQUALITIES CONSIDERING GENERALIZED m-CONVEXITY ON FRACTAL SETS AND THEIR APPLICATIONS

Fractals, 2019
First, we introduce a generalized [Formula: see text]-convexity concept defined on the real linear fractal set [Formula: see text] [Formula: see text] and discuss the relation between generalized [Formula: see text]-convexity and [Formula: see text ...
T. Du, Hao Wang, M. Khan, Yao Zhang
semanticscholar   +1 more source

Fundamental Sets of Fractal Functions

Acta Applicandae Mathematicae, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Navascués, M. A., Chand, A. K. B.
openaire   +2 more sources

Cantor Set Fractals from Solitons

Nonlinear Guided Waves and Their Applications, 1999
We show how a nonlinear system that supports solitons can be driven to generate exact (regular) Cantor set fractals. As an example, we use numerical simulations to demonstrate the formation of Cantor set fractals by temporal optical solitons. This fractal formation occurs in a cascade of nonlinear optical fibers through the dynamical evolution from a ...
, Sears, , Soljacic, , Segev, , Krylov, , Bergman   +4 more
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Scalar Minimizers with Fractal Singular Sets

Archive for Rational Mechanics and Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I. FONSECA, J. MALY, MINGIONE, Giuseppe
openaire   +3 more sources

FRACTAL INTERPOLANTS ON THE s-SETS

Fractals, 2010
In this paper, we mainly study the s-sets (regular 1-sets), which is the most important fractal in the study of fractal geometry. The regular 1-sets are subsets of countable collection of rectifiable curves. Also we define new real maps on the s-sets by using the methodology based on fractal interpolation functions.
Paramanathan, P., Uthayakumar, R.
openaire   +1 more source

Are topographic data sets fractal?

pure and applied geophysics, 1989
The scale invariant properties of fractal sets make them attractive models for topographic profiles because those profiles are the end product of a complex system of physical processes operating over many spatial scales. If topographic data sets are fractal, their power spectra will be well represented by lines in log-log space with slopess such that ...
openaire   +1 more source

FRACTAL IMAGES OF GENERALIZED JULIA SETS

Fractals, 1996
The iteration function [Formula: see text], where both α and β are positive real numbers, is used to generate families of the generalized Julia sets, [Formula: see text]. The calculations are restricted to the principal value of zα + iβ and the obtained results demonstrate that classical Julia sets, [Formula: see text] are significantly deformed when ...
Ong, Kim-Khoon, Shiah, Aichyun, Musielak, Zdzislaw E.   +2 more
openaire   +2 more sources

Modeling the fractal geometry of Arctic melt ponds using the level sets of random surfaces

Journal of Fractal Geometry, 2018
During the late spring, most of the Arctic Ocean is covered by sea ice with a layer of snow on top. As the snow and sea ice begin to melt, water collects on the surface to form melt ponds.
B. Bowen, C. Strong, K. Golden
semanticscholar   +1 more source

Nonchaotic fractal sets

2003
Abstract Chaotic dynamical systems and their accompanying strange attractors as described in Chapter 6 are only one way to produce fractal images. Chapter 11 showed a number of fractals produced by other methods. Two of the most important and widely known such methods are iterated function systems and Julia sets with their relatives such
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Projective properties of fractal sets

Chaos, Solitons & Fractals, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nilsson, Anders, Georgsson, Fredrik
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