منابع مشابه
Showcase of Blue Sky Catastrophes
Let a system of differential equations possess a saddle-node periodic orbit such that every orbit in its unstable manifold is homoclinic, i.e. the unstable manifold is a subset of the (global) stable manifold. We study several bifurcation cases where the splitting of such a homoclinic connection causes the Blue Sky Catastrophe, including the onset of complex dynamics. The birth of an invariant ...
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We discuss how traditional methods for understanding design requirements are leveraged to produce innovative and fundamentally new perspectives when using analogy. We call these analogous practice approaches, and illustrate two cases that both use analogy to achieve exploratory design with ethnography, by gathering data from a different setting than we intend to design for. We discuss how the u...
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We show that the blue-sky catastrophe, which creates a stable periodic orbit of unboundedly increasing length, is a typical phenomenon for singularly perturbed (multi-scale) systems with at least two fast variables. Three distinct mechanisms of this bifurcation are described. We argue that it is behind the transition from periodic spiking to periodic bursting oscillations. 2000 Math. Subj. Clas...
متن کاملBlue Sky Detection for Picture Quality Enhancement
Content analysis of video and still images is attractive for multiple reasons, such as enabling content-based actions and image manipulation. This paper presents a new algorithm and feature model for blue-sky detection. The algorithm classifies the sky areas by computing a pixel-accurate sky probability. Such a probabilistic measure matches well with the requirements of typical video enhancemen...
متن کاملBlue Laws, Liquor Stores, and Crime∗
This paper studies the relationship between crime and off-premise alcohol availability, looking at the repeal of Connecticut’s blue law banning the sale of retail alcohol on Sundays. Using detailed crime data in Hartford, I construct concentric rings around liquor stores and beer-selling grocery stores to conduct a difference-indifferences analysis and find that allowing Sunday sales increased ...
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ژورنال
عنوان ژورنال: Virginia Law Review
سال: 1922
ISSN: 0042-6601
DOI: 10.2307/1063455