Results 301 to 310 of about 469,729 (320)

A short review on analytical methods for a fully fourth-order nonlinear integral boundary value problem with fractal derivatives

International journal of numerical methods for heat & fluid flow, 2020
Purpose This paper aims to review some effective methods for fully fourth-order nonlinear integral boundary value problems with fractal derivatives. Design/methodology/approach Boundary value problems arise everywhere in engineering, hence two-scale ...
Ji-Huan He
semanticscholar   +1 more source

The science of fractal images

, 2011
Contents: Foreword: People and Events Behind the "Science of Fractal Images".- Fractals in Nature: From Characterization to Simulation.- Algorithms for Random Fractals.- Color Plates and Captions.- Fractal Patterns Arising in Chaotic Dynamical Systems ...
H. Peitgen, M. Barnsley
semanticscholar   +1 more source

Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves

, 2020
The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives.
Ji-Huan He
semanticscholar   +1 more source

Erratum: Fractal measures and their singularities: The characterization of strange sets

Physical review. A, General physics, 1986
We propose a description of normalized distributions (measures) lying upon possibly fractal sets; for example those arising in dynamical systems theory. We focus upon the scaling properties of such measures, by considering their singularities, which are ...
T. Halsey, M. H. Jensen, L. Kadanoff, I. Procaccia, B. Shraiman   +4 more
semanticscholar   +1 more source

'Mode 3' and 'Quadruple Helix': toward a 21st century fractal innovation ecosystem

International Journal of Technology Management, 2009
'Mode 3' allows and emphasises the co-existence and co-evolution of different knowledge and innovation paradigms: the competitiveness and superiority of a knowledge system is highly determined by its adaptive capacity to combine and integrate different ...
E. Carayannis, D. J. Campbell
semanticscholar   +1 more source

Fractal: A General-Purpose Graph Pattern Mining System

SIGMOD Conference, 2019
In this paper we propose Fractal, a high performance and high productivity system for supporting distributed graph pattern mining (GPM) applications. Fractal employs a dynamic (auto-tuned) load-balancing based on a hierarchical and locality-aware work ...
Vinícius Dias, Carlos H. C. Teixeira, D. Guedes, Wagner Meira Jr, S. Parthasarathy   +4 more
semanticscholar   +1 more source

Three-dimensional sphericity, roundness and fractal dimension of sand particles

, 2018
Particle morphological features at different scale levels hold the key to understanding the geological origin and mechanical behaviour of natural sands.
Bo Zhou, Jianfeng Wang, Huabin Wang
semanticscholar   +1 more source

FRACTAL DERIVATIVE MODEL FOR TSUNAMI TRAVELING

Fractals, 2019
Tsunami traveling in an unsmooth boundary is studied, where the boundary is considered as a fractal surface, and mass conservation and moment conservation in a fractal space are established, and a fractal derivative-based tsunami model is established ...
Yan Wang, Qigen Deng
semanticscholar   +1 more source

The fourth dimension of life: fractal geometry and allometric scaling of organisms.

Science, 1999
Fractal-like networks effectively endow life with an additional fourth spatial dimension. This is the origin of quarter-power scaling that is so pervasive in biology. Organisms have evolved hierarchical branching networks that terminate in size-invariant
G. West, G. West, James H. Brown, James H. Brown, B. Enquist, B. Enquist   +5 more
semanticscholar   +1 more source

A REMARK ON WANG’S FRACTAL VARIATIONAL PRINCIPLE

, 2019
Wang et al. established successfully a variational principle in a fractal space by the semi-inverse method.
Kang-le Wang, Chun-Hui He
semanticscholar   +1 more source