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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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The Fractal Dimension of Complex Networks: A Review
Information Fusion, 2021Kang Hao Cheong, Tao Wen
exaly
Fractals and Fractal Correlations
Computers in Physics, 1994Evelyn Sander +2 more
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