Part of the Lecture Notes in Physics book series (LNP, volume 210)
Effect of boundaries on periodic patterns
KeywordsLinear Stability Analysis Periodic Pattern Infinite System Oscillatory Instability Real Negative Root
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- 1.This model was introduced by Swift and Hohenberg (Phys.Rev. A15, 319 (1977)) in the context of Rayleigh-Bénard convection,and its wavelength selection properties were first studied by Pomeau and Manneville (J.Phys.Lett. 40, L-609 (1979); Phys.Lett. 75A, 296 (1980)).Google Scholar
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- 4.We omit all finite-e corrections.Google Scholar
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- 9.M. Potier Ferry, in “Collapse: The Buckling of Structures in Theory and Practice”, J.M.T. Thomson and G.W. Hunt, ed., (Cambridge University Press, 1983).Google Scholar
- 10.The results are formulated for boundary conditions implemented on the large-x end of the system. If this is reversed the signs of aid have to be reversed.Google Scholar
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