منابع مشابه
Traveling Waves and Power Waves
M icrowave equivalent-circuit theory is like a grand old building: elegant, carefully crafted, passed from generation to generation, and rooted in history. Traveling waves, the measureable electromagnetic field solutions of Maxwell’s equations in a transmission line, form the foundation of the theory. You must descend into the basement to see them; not many people do so. It is in this “basement...
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For a class of 1-dimensional lattice dynamical systems we prove the existence of periodic traveling waves with prescribed speed and arbitrary period. Then we study asymptotic behaviour of such waves for big values of period and show that they converge, in an appropriate topology, to a solitary traveling wave.
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The symmetries of a physical system provide a key to much of its dynamical behavior. As a consequence equivariant bifurcation theory has met with remarkable success in a wide range of physical applications, including fluid dynamics, laser physics, and chemical oscillations. (See, for example, refs. [1,2].) In this note we consider physical systems depending on a parameter/~ that are translation...
متن کاملSaturation, traveling waves and fluctuations
In this talk I discuss the high energy asymptotics of QCD scattering, and its similarity to a reaction–diffusion process. I also discuss detailed numerical studies of the mean field approximation to this picture, i.e., the Balitsky–Kovchegov equation. Perturbative QCD, in the form of the BFKL equation, predicts that in the high energy (small-x) limit, cross sections rise as a power of the cente...
متن کاملTraveling Waves in Visual Cortex
Electrode recordings and imaging studies have revealed that localized visual stimuli elicit waves of activity that travel across primary visual cortex. Traveling waves are present also during spontaneous activity, but they can be greatly reduced by widespread and intensive visual stimulation. In this Review, we summarize the evidence in favor of these traveling waves. We suggest that their subs...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1988
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1988-0973176-4