Spatial chaos of 3-D elastica with the Kirchhoff gyrostat analogy using Melnikov integrals

2004 ◽  
Vol 61 (10) ◽  
pp. 1674-1709 ◽  
Author(s):  
A. Y. T. Leung ◽  
J. L. Kuang
Keyword(s):  
Spatial Chaos ◽  
Melnikov Integrals

SPATIAL CHAOS AND OPTICAL MEMORY

1988 ◽  
Vol 49 (C2) ◽  
pp. C2-451-C2-454
Author(s):  
W. J. FIRTH
Keyword(s):  
Optical Memory ◽  
Spatial Chaos

CELLULAR NEURAL NETWORKS: ASYMMETRIC SPACE-DEPENDENT TEMPLATES, MOSAIC PATTERNS, AND SPATIAL CHAOS

2004 ◽  
Vol 14 (08) ◽  
pp. 2655-2665 ◽  
Author(s):  
LARRY TURYN
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Hexagonal Lattice ◽  
Cellular Neural Network ◽  
Cellular Neural Networks ◽  
Integer Lattice ◽  
Spatial Entropy ◽  
Spatial Chaos

We consider a Cellular Neural Network (CNN), with a bias term, on the integer lattice ℤ2in the plane ℝ2. Space-dependent, asymmetric couplings (templates) appropriate for CNN in the hexagonal lattice on ℝ2are studied. We characterize the mosaic patterns and study their spatial entropy. It appears that for this problem, asymmetry of the template has a more robust effect on the spatial entropy than does the sign of a parameter in the templates.

On the analysis of spatial chaos and Hopf bifurcation in an optical open flow

2005 ◽  
Vol 25 (2) ◽  
pp. 367-378
Author(s):  
Papri Saha ◽  
B. Rakshit ◽  
A. Roy Chowdhury
Keyword(s):  
Hopf Bifurcation ◽  
Open Flow ◽  
Spatial Chaos

A novel image encryption scheme based on spatial chaos map

2008 ◽  
Vol 38 (3) ◽  
pp. 631-640 ◽  
Author(s):  
Fuyan Sun ◽  
Shutang Liu ◽  
Zhongqin Li ◽  
Zongwang Lü
Keyword(s):  
Image Encryption ◽  
Encryption Scheme ◽  
Spatial Chaos

scholarly journals New Indicators of Spatial Chaos in the Context of the Need for Retrofitting Suburbs

Land ◽  
2020 ◽  
Vol 9 (8) ◽  
pp. 276 ◽  
Author(s):  
Dorota Mantey ◽  
Wojciech Pokojski
Keyword(s):  
Urban Sprawl ◽  
Local Environment ◽  
Two Dimensions ◽  
Living Environment ◽  
Functional Aspect ◽  
Place Of Residence ◽  
Suburban Areas ◽  
Spatial Chaos ◽  
Synthetic Index ◽  
Basic Services

The article is dedicated to the phenomenon of spatial chaos in the suburban areas of Polish cities, which, due to uncontrolled scattering of buildings (urban sprawl), require urgent retrofitting. These activities should contribute to the gradual densification of buildings and the more frequent functioning of suburbanites in the local environment, close to the place of residence. The authors claim that the retrofitting of suburbs can be accomplished by impacting two dimensions of spatial chaos: limited pedestrian mobility around the place of residence (walkability) and low access to basic services. The article proposes a set of ten indicators and a synthetic index of spatial chaos that allow measuring the level of disorder in particular suburbs, and therefore on a smaller scale than a municipality, and at the same time refer to the features of the living environment typical of Polish suburbs. These indicators are a direct reference to the abovementioned dimensions of suburban spatial chaos and allow to estimate the degree of compactness of suburban settlements in its functional aspect. The research proved that the more sprawl-like features, the higher the level of spatial disorder.

scholarly journals Loss of Coherence in Dynamical Networks: Spatial Chaos and Chimera States

2011 ◽  
Vol 106 (23) ◽  
Author(s):  
Iryna Omelchenko ◽  
Yuri Maistrenko ◽  
Philipp Hövel ◽  
Eckehard Schöll
Keyword(s):  
Dynamical Networks ◽  
Chimera States ◽  
Spatial Chaos ◽  
Loss Of Coherence

scholarly journals Urbanization Chaos of Suburban Small Cities in Poland: ‘Tetris Development’

Land ◽  
2020 ◽  
Vol 9 (11) ◽  
pp. 461
Author(s):  
Anna Majewska ◽  
Małgorzata Denis ◽  
Wioleta Krupowicz
Keyword(s):  
Urban Sprawl ◽  
Kernel Density ◽  
City Center ◽  
Spatial Order ◽  
Small Cities ◽  
Spatial Chaos ◽  
Study Results ◽  
Central Statistical ◽  
Central Statistical Office ◽  
The Eu

This paper investigates the phenomenon of spatial chaos in Poland resulting from urban sprawl. The phenomenon is particularly visible in the case of suburban small cities which, in contrast to cities in the EU-15 countries with similar populations, are expanding excessively, causing a growth of urbanized areas exceeding several times the growth of their population. Suburbs of these cities increasingly resemble a badly played Tetris game. The selected study area consists of several cities in the Warsaw suburban zone where an increased dynamic of these processes can be observed. The paper presents detailed studies concerning the selected representative small cities. The morphology of urban tissue was studied as a marker of spatial order including: development intensity, street grid, plots parameters, presence of technical infrastructure, and distance from the functional city center. The analyses were performed based on cartographic archives, the data of the Central Statistical Office of Poland, topographic database and Kernel Density Estimation. ArcGIS ESRI and AutoCad software was used to present the study results. The conducted studies intend to diagnose the changes in the spatial layout in the context of the objectives of spatial order and sustainable development, and to define the indicators which should be taken into account in spatial planning documents drawn up for the studied areas.

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