Fractal dimension of gas-evaporated Co aggregates: Role of magnetic coupling

1988 ◽  
Vol 60 (17) ◽  
pp. 1735-1738 ◽  
Author(s):  
G. A. Niklasson ◽  
A. Torebring ◽  
C. Larsson ◽  
C. G. Granqvist ◽  
T. Farestam
Keyword(s):  
Fractal Dimension ◽  
Magnetic Coupling

scholarly journals Topographic Analysis of Wetlandscapes: Fractal Dimension and Scaling Properties

10.29007/c7r5 ◽  
2018 ◽  
Author(s):  
Leonardo Enrico Bertassello ◽  
P. Suresh Rao ◽  
Gianluca Botter ◽  
Antoine Aubeneau
Keyword(s):  
Fractal Dimension ◽  
The United States ◽  
Self Similarity ◽  
Topographic Analysis ◽  
Scaling Properties ◽  
Dem Analysis ◽  
Water Filling ◽  
Topographic Depressions ◽  
And Storage

Wetlands are ubiquitous topographic depressions on landscapes and form criticalelements of the mosaic of aquatic habitats. The role of wetlands in the global hydrological and biogeochemical cycles is intimately tied to their geometric characteristics. We used DEM analysis and local search algorithms to identify wetland attributes (maximum stage, surface area and storage volume) in four wetlandscapes across the United States. We then derived the exceedance cumulative density functions (cdfs) of these attributes for the identified wetlands, applied the concept of fractal dimension to investigate the variability in wetland’ shapes. Exponentially tempered Pareto distributions were fitted to DEM derived wetland attributes. In particular, the scaling exponents appear to remain constant through the progressive water-filling of the landscapes, suggesting self-similarity of wetland geometrical attributes. This tendency is also reproduced by the fractal dimension (D) of wetland shorelines, which remains constant across different water-filling levels. In addition, the variability in D is constrained within a narrow range (1 <D < 1.33) in all the four wetlandscapes. Finally, the comparison between wetlands identified by the DEM-based model are consistentwith actual data.

Role of fractal dimension in internal stress fields of Ni3Fe single crystals

1995 ◽  
Vol 38 (1) ◽  
pp. 27-30
Author(s):  
Yu. A. Abzaev ◽  
A. V. Paul' ◽  
A. I. Potekaev
Keyword(s):  
Fractal Dimension ◽  
Internal Stress ◽  
Single Crystals ◽  
Stress Fields

Network stabilization on unstable manifolds: Computing with middle layer transients

2001 ◽  
Vol 24 (5) ◽  
pp. 822-823
Author(s):  
Arnold J. Mandell ◽  
Karen A. Selz
Keyword(s):  
Neural Network ◽  
Fractal Dimension ◽  
Fixed Points ◽  
Middle Layer ◽  
Chaotic Attractors ◽  
Control Of Chaos ◽  
Strange Nonchaotic Attractor ◽  
Definitive Evidence ◽  
Unstable Manifolds

Studies have failed to yield definitive evidence for the existence and/or role of well-defined chaotic attractors in real brain systems. Tsuda's transients stabilized on unstable manifolds of unstable fixed points using mechanisms similar to Ott's algorithmic “control of chaos” are demonstrable. Grebogi's order in preserving “strange nonchaotic” attractor with fractal dimension but Lyapounov is suggested for neural network tasks dependent on sequence.

scholarly journals Role of the rare earth in lattice and magnetic coupling in multiferroic h−HoMnO3

2017 ◽  
Vol 95 (19) ◽  
Author(s):  
J. Liu ◽  
Y. Gallais ◽  
M.-A. Measson ◽  
A. Sacuto ◽  
S. W. Cheong ◽  
...  
Keyword(s):  
Rare Earth ◽  
Magnetic Coupling ◽  
The Rare Earth

Probing magnetic coupling between LnPc2 (Ln = Tb, Er) molecules and the graphene/Ni (111) substrate with and without Au-intercalation: role of the dipolar field

Nanoscale ◽  
2018 ◽  
Vol 10 (1) ◽  
pp. 277-283 ◽  
Author(s):  
V. Corradini ◽  
A. Candini ◽  
D. Klar ◽  
R. Biagi ◽  
V. De Renzi ◽  
...  
Keyword(s):  
Magnetic Coupling ◽  
Dipolar Field

The dipolar field contribution is revealed to be significant in the magnetic coupling between LnPc2 and Ni(111) substrate.

scholarly journals The linkage between box-counting and geomorphic fractal dimensions in the fractal structure of river networks: the junction angle

2020 ◽  
Vol 51 (6) ◽  
pp. 1397-1408
Author(s):  
Xianmeng Meng ◽  
Pengju Zhang ◽  
Jing Li ◽  
Chuanming Ma ◽  
Dengfeng Liu
Keyword(s):  
Fractal Dimension ◽  
Fractal Structure ◽  
Fractal Dimensions ◽  
River Networks ◽  
Stream Length ◽  
Box Counting ◽  
Linear Relationships ◽  
Box Counting Dimension ◽  
Junction Angle

Abstract In the past, a great deal of research has been conducted to determine the fractal properties of river networks, and there are many kinds of methods calculating their fractal dimensions. In this paper, we compare two most common methods: one is geomorphic fractal dimension obtained from the bifurcation ratio and the stream length ratio, and the other is box-counting method. Firstly, synthetic fractal trees are used to explain the role of the junction angle on the relation between two kinds of fractal dimensions. The obtained relationship curves indicate that box-counting dimension is decreasing with the increase of the junction angle when geomorphic fractal dimension keeps constant. This relationship presents continuous and smooth convex curves with junction angle from 60° to 120° and concave curves from 30° to 45°. Then 70 river networks in China are investigated in terms of their two kinds of fractal dimensions. The results confirm the fractal structure of river networks. Geomorphic fractal dimensions of river networks are larger than box-counting dimensions and there is no obvious relationship between these two kinds of fractal dimensions. Relatively good non-linear relationships between geomorphic fractal dimensions and box-counting dimensions are obtained by considering the role of the junction angle.

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