منابع مشابه
Off-Center Reflections: Caustics and Chaos
We study the properties of a particular one-parameter family of circle maps called offcenter reflections defined in §2. This map, in its 2-dimensional version, is first introduced in an open problem by S. T. Yau, [Y, problem 21], who suggests a cross study of the dynamics and geometry. In this article, we attempt to explore the possible link between the dynamics of this family of circle maps an...
متن کاملOff - Center Reflections : Caustics and Chaos Thomas Kwok - Keung Au
In this article, we attempt to study the possible link between the dynamics of a circle map and the caustics of its iterations. The attention is on a geometrically defined off-center reflections, which, coincidentally, is also a generalization of standard perturbation of rotation. Some results of the caustics and dynamics of the family of maps are given. The method of symplectic topology is par...
متن کاملStylized Caustics: Progressive Rendering of Animated Caustics
In recent years, much work was devoted to the design of light editing methods such as relighting and light path editing. So far, little work addressed the target-based manipulation and animation of caustics, for instance to a differently-shaped caustic, text or an image. The aim of this work is the animation of caustics by blending towards a given target irradiance distribution. This enables an...
متن کاملManagement of Dish Concentrator Off-Axis Reflections
The ANU dish concentrator, SG4, achieves peak concentration ratios of the order of 14,000x. These high fluxes must be carefully managed to avoid off-axis reflections damaging the dish structure, or creating a hazard in the surrounding environment. Ray tracing using Opticad 10.0 was used to predict peak fluxes on the receiver support structure in a variety of dish-sun positions. Transient and st...
متن کاملReflections on off hour admissions to ICU
Page 1 of 2 (page number not for citation purposes) In the June issue of this journal, Meynaar and colleagues [1] report that there was no excess mortality observed for off hours admissions to ICU once an adjustment was made for acute illness severity [1]. We have previously described a 50% relative risk reduction in all cause mortality pursuant to the establishment of an acute medical admissio...
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ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2001
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.2001.10504449