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Chaotic spatial bifurcation by complex coupling
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2007A spatial bifurcation (a transition from stationary to oscillatory regime) in a chain of unidirectionally coupled phase systems is studied. It is shown that complication of coupling terms can make this bifurcation spatially chaotic in contrast to the previously observed “regular” and “predictable” type. It is demonstrated that the found type of spatial
Shalfeev, Vladimir D. +2 more
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Complex Spatial Filtering with Binary Masks
Applied Optics, 1966Usually a hologram is produced by means of an interference experiment. Here, however, we let a computer- guided plotter draw the hologram. The plot, which has to be minified and recorded on film, contains no grey, only binary transmittance values. Our binary holograms yield reconstructed images of a quality equal to that of images obtained from usual ...
B R, Brown, A W, Lohmann
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2020
Spatial complexity is defined here as the difficulty to simplify the structure or form of a 2-and-higher-dimensional surface or object. The study of spatial complexity refers to the geographical space, to mathematically abstract spaces, to physical objects, or to any surface or object, in a n-dimensional space with n equal to two or higher.
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Spatial complexity is defined here as the difficulty to simplify the structure or form of a 2-and-higher-dimensional surface or object. The study of spatial complexity refers to the geographical space, to mathematically abstract spaces, to physical objects, or to any surface or object, in a n-dimensional space with n equal to two or higher.
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Spatial bounding of complex CSG objects
IEE Proceedings - Computers and Digital Techniques, 1995Several computer graphics algorithms (such as ray-tracing) heavily relate their performances to the efficiency of the tests of intersection between the rays of a light source and the objects of a synthetic scene. Some solid modelling and robotics algorithms need also to test quickly the possible interferences of the different parts of a system such as ...
SANNA, Andrea, MONTUSCHI, PAOLO
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Complexity and Spatial Networks
2013The modern spatial economy has a global “networked” character that is generating important socio-economic and political changes. In this respect, new forms of connectivity play a significant role through their dynamic and complex interplay with the economic and political driving forces behind globalization.
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Representing Spatial Complex Systems
2000In the course of the 1970s modern society declined and post-modern society took shape. The transition to the new social organisation was marked by profound changes in the world picture and role of science. Discussions about the environmental question and the global change concept had two consequences: the environment was internalised into political ...
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2020
From Thurston’s geometrization theorem to the Banach-Tarski paradox, spatial complexity can be enigmatic, due to singularities, immersions, infinities (e.g. Alexander’s wild knots, Antoine’s necklace, Ford circles, Hilbert curves). Measuring spatial complexity in already “complex” spatial settings constitutes a major challenge for future research, as ...
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From Thurston’s geometrization theorem to the Banach-Tarski paradox, spatial complexity can be enigmatic, due to singularities, immersions, infinities (e.g. Alexander’s wild knots, Antoine’s necklace, Ford circles, Hilbert curves). Measuring spatial complexity in already “complex” spatial settings constitutes a major challenge for future research, as ...
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Complex spatial patterns on planar continua
Physical Review Letters, 1993The Landau-Ginzburg equations used to describe periodic spatial patterns in two dimensions are extended to a set or spatiotemporal equations. The extension is determined by the requirement that the equations or motion commute with translations, reflections, and rotations in the plane.
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Spatial and Temporal Complexity
1974In the first section we examined some of the mainly holistic studies of lake benthos that have been undertaken. Opponents of this approach would suggest that no two lakes are, in reality, alike and that the complexity of nature prevents the holistic view from achieving its goal of developing general statements about the nature of lakes. In this section
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Recognition of Complex Auditory-Spatial Patterns
Perception, 1993Two experiments were carried out to investigate the perception of complex auditory-spatial patterns. Subjects were asked to identify alphanumeric characters whose patterns could be outlined acoustically through the sequential activation of specific units in a speaker array. Signal bandwidths were varied systematically in both experiments.
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