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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严厉谴责

Estimatesvalued. An immediate consequence is that in this parameter regime, homoclinic and heteroclinic solutions leading to either of these two constant solutions cannot be monotone. In fact, as . passes through . and the eigenvalues become complex,the set . of of bounded solutions of equation (1.3.1) insta

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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 ..

卡死偷电

Chaotic Solutionsational methods, Kalies, Kwapisz, and van der Vorst [KKV] have shown that for any ., there exists a family of bounded solutions that each have an infinite number of jumps between the constant solutions . =±1 and . = +1 and possess between successive jumps a prescribed number of small oscillations ar

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Chaotic Solutionsnite number of jumps between the constant solutions . =±1 and . = +1 and possess between successive jumps a prescribed number of small oscillations around these solutions. In Figure 6.0.1 we present a solution of this chaotic family.

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Textbook 2001 Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played

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