recent studies on wavelet transform and fractal modeling applied on mammograms for the detection of cancerous tissues indicate that microcalcifications and masses can be utilized for the study of the morphology and diagnosis of cancerous cases. it is shown that the use of fractal modeling, as applied to a given image, can clearly discern cancerous zones from noncancerous areas. in this paper, f...

The paper focuses on the use of the fractal paradigm in enterprise modeling. It investigates whether the properties of fractal organizations can be applied in business analysis and whether this results in useful outcomes and new insights. Based on an adaptation and operationalization of properties of fractal organizations, two real-world cases are analyzed using the adapted properties. The cont...

This paper proposes a fractal viscoelastic element via He?s derivative, its properties are analyzed in details by the two-scale transform for first time. The is used to establish Maxwell-rheological model, which unifies creep equation and relaxation equation, includes classic elastic model classical as two special cases. sheds bright light on viscoelasticity, can find wide applications rock mec...

With the help of a new fractal derivative, model for variable coefficients and highly non-linear Schr?dinger equations on non-smooth boundary are acquired. The variational principles built successfully by coupling semi-inverse He?s two-scale transformation methods, which helpful to reveal symmetry, discover conserved quantity, obtained have widespread applications in numerical simulation.

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. The semi-inverse method is used to establish a fractal variational formulation of the problem, which provides conservation laws in an energy form in the fractal space and possible solution structures of t...

In this paper, we study the fractal characteristics of the futures market. We take the empirical study on London Gold Futures yield by Rescaled Range Analysis, analyzing the fractal characteristics of the futures market. We further determine fractal characteristics and the structure of the nonlinear time series through random disturb the original time series observation sequence. The result of ...

We find that the fractal scaling in a class of scale-free networks originates from the underlying tree structure called a skeleton, a special type of spanning tree based on the edge betweenness centrality. The fractal skeleton has the property of the critical branching tree. The original fractal networks are viewed as a fractal skeleton dressed with local shortcuts. An in silico model with both...

Fractal property of the knowledge of supply chain is confirmed, and the concept of fractal integration is presented. And the knowledge of supply chain is fractal integrated by building modularization fractal knowledge integration network independent of the organization structure. The process of fractal integration of the knowledge is divided into five stages: acquisition, transition, applicatio...

The ability to form a fractal colony was shown to be common among several species of the family Enterobacteriaceae. Bacterial spreading growth in a two-dimensional field of nutrient concentration was indicated to be important for this experimental self-similar morphogenesis. As a basic analogy, the diffusion-limited aggregation model was suggested. Fractal dimensions of colonies were mostly in ...

able information on relationships between size—expressed in terms of diameter and dry biomass—and hydraulic efficiency of woody structures at different scales, from stem segments to whole trees. Three data sets were constructed: the first described the relationship between segment diameter and hydraulic conductivity (kh; kg m s –1 MPa) in four species; the second, for the same four species, des...