Titlebook: Spatial Patterns; Higher Order Models L. A. Peletier,W. C. Troy Textbook 2001 Springer Science+Business Media New York 2001 Potential.line

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The Swift—Hohenberg EquationIn this chapter we apply and extend the theory developed in the previous chapters to the Swift-Hohenberg equation..

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Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/s/image/873547.jpg

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Introductionf the complex patterns that are evident all around us: in the morphology of plants and animals, in crystal growth, in wave phenomena and in numerous other realms of nature. Indeed, patterns, in space as well as in time, are an ubiquitous element of the natural world.

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Kinks and Pulsesferent heteroclinic orbits, or ., and homoclinic orbits, or ., leading to the constant solutions . = ±1. However, whereas several families of periodic solutions exist for all ., it appears that kinks and pulses are all restricted to values of . in intervals of the form ., where ..

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Spatial Patterns978-1-4612-0135-9Series ISSN 1421-1750 Series E-ISSN 2374-0280

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