Results 11 to 20 of about 134,471 (280)
Fractal Sturm–Liouville Theory
Fractal and FractionalThis paper provides a short summary of fractal calculus and its application to generalized Sturm–Liouville theory. It presents both the fractal homogeneous and non-homogeneous Sturm–Liouville problems and explores the theory’s applications in optics.
Alireza Khalili Golmankhaneh +3 more
doaj +2 more sources
Periodic orbit theory in fractal drum [PDF]
Physica A: Statistical Mechanics and its Applications, 2005 The level statistics of pseudointegrable fractal drums is studied numerically using periodic orbit theory. We find that the spectral rigidity $\Delta_3(L)$, which is a measure for the correlations between the eigenvalues, decreases to quite small values (
Berry +17 more
core +3 more sources
Distribution theory on P.C.F. fractals [PDF]
Journal d'Analyse Mathématique, 2010 38 ...
Rogers, Luke G., Strichartz, Robert S.
openaire +3 more sources
Fractal Dimension Complexity of Gravitation Fractals in Central Place Theory
Scientific Reports, 2022 Abstract Settlement centers of various types, including cities, produce basins of attraction whose shape can be regular or complexly irregular (from the point of view of geometry). It depends, among others, on the properties of the space surrounding a city.
Banaszak, Michał +3 more
openaire +4 more sources
Chaos‐Fractals Theories and Applications [PDF]
Mathematical Problems in Engineering, 2014 1 Software College, Northeastern University, Shenyang 110819, China 2Department of Electrical and Computer Engineering, University of Sharjah, Sharjah 27272, United Arab Emirates 3 Institute of Mathematics and Computer Sciences, Ural Federal University, Lenina 51, Ekaterinburg, Russia 4College of Physics and Optoelectronics, Taiyuan University of ...
Hai Yu +4 more
openaire +2 more sources
Advances in Mechanical Engineering, 2020 To analyze the fractal form of the vascular network in the human circulatory system, the optimal transport effect has been achieved from the point of view of biological evolution.
Yan-li Chen +7 more
doaj +1 more source
Slope Deformation Prediction Based on IVDF-SVR Coupling Model
Renmin Zhujiang, 2022 Given the shortcomings of improved variable-dimension fractal in the fitting and prediction of fractal dimensions,this paper proposes a fractal prediction model based on the coupling of the improved variable-dimension fractal (IVDF) theory and the ...
HOU Taiping +5 more
doaj
Interval estimation for contact stiffness of bolted joint with uncertain parameters
Advances in Mechanical Engineering, 2019 Bolted joints are elements used to create resistant assemblies in the mechanical system, whose overall performance is greatly affected by joints’ contact stiffness. Most of the researches on contact stiffness are based on certainty theory whereas in real
Yongsheng Zhao +4 more
doaj +1 more source
Feature extraction and identification of gas–liquid two-phase flow based on fractal theory
Systems Science & Control Engineering, 2021 Due to the gas–liquid two-phase flow system with nonlinear characteristics, the fractal theory has a significant impact on nonlinear analysis, so the paper proposes applying the fractal theory to characterize the fractal characteristics of two-phase flow.
Chunling Fan +4 more
doaj +1 more source
Fractal Theory Space: Spacetime of Noninteger Dimensionality [PDF]
, 2002 We construct matter field theories in ``theory space'' that are fractal, and invariant under geometrical renormalization group (RG) transformations. We treat in detail complex scalars, and discuss issues related to fermions, chirality, and Yang-Mills ...
C.T. Hill +22 more
core +2 more sources