Results 11 to 20 of about 58,987 (131)
Review of Some Promising Fractional Physical Models [PDF]
, 2015 Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
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Extreme phase sensitivity in systems with fractal isochrons [PDF]
, 2015 Sensitivity to initial conditions is usually associated with chaotic dynamics and strange attractors. However, even systems with (quasi)periodic dynamics can exhibit it.
Mauroy, Alexandre, Mezic, Igor
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The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields
Discrete Dynamics in Nature and Society, 2014 A fractal interpolation function on a p-series local field Kp is defined, and its p-type smoothness is shown by virtue of the equivalent relationship between the Hölder type space CσKp and the Lipschitz class Lipσ,Kp. The orders of the p-type derivatives
Jing Li, Weiyi Su
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Stochastic models which separate fractal dimension and Hurst effect [PDF]
, 2001 Fractal behavior and long-range dependence have been observed in an astonishing number of physical systems. Either phenomenon has been modeled by self-similar random functions, thereby implying a linear relationship between fractal dimension, a measure ...
Constantine A. G. +7 more
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Complexity in the scaling of velocity fluctuations in the high-latitude F-region ionosphere [PDF]
Annales Geophysicae, 2008 The temporal scaling properties of F-region velocity fluctuations, δvlos, were characterised over 17 octaves of temporal scale from τ=1 s to <1 day using a new data base of 1-s time resolution SuperDARN radar measurements.
M. L. Parkinson
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Generalized Convex Functions on Fractal Sets and Two Related Inequalities
Abstract and Applied Analysis, 2014 We introduce the generalized convex function on fractal sets Rα ...
Huixia Mo, Xin Sui, Dongyan Yu
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Weighted Estimates on fractal domains [PDF]
, 2015 The aim of the paper is to establish estimates in weighted Sobolev spaces for the solutions of the Dirichlet problems on snowflake domains, as well as uniform estimates for the solutions of the Dirichlet problems on pre-fractal approximating ...
Capitanelli, Raffaela +1 more
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Analysis of a Fractal Boundary: The Graph of the Knopp Function
Abstract and Applied Analysis, 2015 A usual classification tool to study a fractal interface is the computation of its fractal dimension. But a recent method developed by Y. Heurteaux and S.
Mourad Ben Slimane, Clothilde Mélot
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Frontiers in Neuroscience, 2023 PurposeThis study aimed to investigate potential biological mechanisms underlying cognitive function alterations in Type 2 diabetes mellitus (T2DM) patients by integrating cortical morphology with peripheral cytokine levels and brain-derived neurotrophic
Wenjiao Lyu +5 more
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Fractal dimension and degree of order in sequential deposition of mixture
, 1997 We present a number models describing the sequential deposition of a mixture of particles whose size distribution is determined by the power-law $p(x) \sim \alpha x^{\alpha-1}$, $x\leq l$ .
A. Erdelyi +22 more
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