Transitions to chaos in the Ginzburg-Landau equation
β Scribed by H.T. Moon; P. Huerre; L.G. Redekopp
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 983 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Spatially periodic equilibria __A__(__X, T__) = β1 β __q__^2^ __e__ are the locally preferred planform for the GinzburgβLandau equation β~__T__~__A__ = β^2^~__X__~__A__ + __A__ β __A__|__A__|^2^. To describe the global spatial behavior, an evolution equation for the local wave number __
Let W be a bounded, simply connected, regular domain of R N , N \ 2. For 0 < e < 1, let u e : W Q C be a smooth solution of the Ginzburg-Landau equation in W with Dirichlet boundary condition g e , i.e., ## Λ-Du in W, u e =g e on "W.