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Fractals, Multi-Fractals, Psuedo-Fractals and Non-Fractals in Energy Spectral Techniques
EAGE Workshop on Non-Seismic Methods, 2008The demonstration of fractal processes within the earth has been an important step in understanding many processes and the nature of resultant geomorphology. However the complex nature of interplay between many different processes does not lead to simple measures of fractal geometry in practice.
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ASME-JSME-KSME 2011 Joint Fluids Engineering Conference: Volume 1, Symposia – Parts A, B, C, and D, 2011
Fractality is, as we introduce it, an attribute relating to any object or system where the existence of self-similar replication of the whole is present in any order and scale. This can be realized in any turbulent flow due to the self-similar flow structures in its energy cascade.
S. M. Muztaba Salim, Franck Nicolleau
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Fractality is, as we introduce it, an attribute relating to any object or system where the existence of self-similar replication of the whole is present in any order and scale. This can be realized in any turbulent flow due to the self-similar flow structures in its energy cascade.
S. M. Muztaba Salim, Franck Nicolleau
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Fractals and Reactions on Fractals
1989Many of the structures which surround us in nature (mountains, rivers, coastlines, clouds, the vascular system and other biological structures, for example) and systems of scientific interest (aggregates, macromolecules, rough surfaces, “strange” attractors, etc.) cannot be adequately described in terms of the concepts of Euclidean geometry.
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The Journal of Pathology, 1997
Many natural objects, including most objects studied in pathology, have complex structural characteristics and the complexity of their structures, for example the degree of branching of vessels or the irregularity of a tumour boundary, remains at a constant level over a wide range of magnifications.
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Many natural objects, including most objects studied in pathology, have complex structural characteristics and the complexity of their structures, for example the degree of branching of vessels or the irregularity of a tumour boundary, remains at a constant level over a wide range of magnifications.
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Fractals, 1995
We introduce an extension of an earlier defined simple, number-based matrix substitution system for obtaining fractal matrices, by considering cyclic substitutions. The elements of the resulting matrices are related to representations of their addresses in a mixed number base.
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We introduce an extension of an earlier defined simple, number-based matrix substitution system for obtaining fractal matrices, by considering cyclic substitutions. The elements of the resulting matrices are related to representations of their addresses in a mixed number base.
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2016
Several natural phenomena can be described by studying their statistical scaling patterns, hence leading to simple geometrical interpretation. In this regard, fractal geometry is a powerful tool to describe the irregular or fragmented shape of natural features, using spatial or time-domain statistical scaling laws (power-law behavior) to characterize ...
Salim, Lahmiri +2 more
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Several natural phenomena can be described by studying their statistical scaling patterns, hence leading to simple geometrical interpretation. In this regard, fractal geometry is a powerful tool to describe the irregular or fragmented shape of natural features, using spatial or time-domain statistical scaling laws (power-law behavior) to characterize ...
Salim, Lahmiri +2 more
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Fractal walk and walk on fractals
Technical Physics, 2004The one-dimensional walk of a particle executing instantaneous jumps between the randomly distributed “atoms” at which it resides for a random time is considered. The random distances between the neighboring atoms and the time intervals between jumps are mutually independent. The asymptotic (t → ∞) behavior of this process is studied in connection with
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Interpolative operators: Fractal to multivalued fractal
Chaos, Solitons & Fractals, 2022Prithvi, B. V., Katiyar, S. K.
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Fractals of Brain, Fractals of Mind
1996This collective volume is the first to discuss systematically what are the possibilities to model different aspects of brain and mind functioning with the formal means of fractal geometry and deterministic chaos. At stake here is not an approximation to the way of actual performance, but the possibility of brain and mind to implement nonlinear dynamic ...
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