Planforms in two and three dimensions
作者： Benoit Dionne , Martin Golubitsky
DOI: 10.1007/BF00944740
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摘要: When solving systems of PDE with two space dimensions it is often assumed that the solution spatially doubly periodic. This assumption usually made in such as Boussinesq equation or reaction-diffusion equations where have Euclidean invariance. In this article we use group theoretic techniques to determine a large class periodic solutions are forced existence near steady-state bifurcation from translation-invariant equilibrium.
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