Global modes for the complex Ginzburg-Landau equation
| dc.creator | Dizès, Le S. | |
| dc.date | 1995-03-01 | |
| dc.date.accessioned | 2026-07-07T09:15:59Z | |
| dc.date.available | 2026-07-07T09:15:59Z | |
| dc.description | Linear global modes, which are time-harmonic solutions with vanishing boundary conditions, are analysed in the context of the complex Ginzburg-Landau equation with slowly varying coefficients in doubly infinite domains. The most unstable modes are shown to be characterized by the geometry of their Stokes line network: they are found to generically correspond to a configuration with two turning points issued from opposite sides of the real axis which are either merged or connected by a common Stokes line. A region of local absolute instability is also demonstrated to be a necessary condition for the existence of unstable global modes. | |
| dc.description | 10 pages (LaTeX), 6 figures (Epsfiles), the Epsf macro is also included | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9502008 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9502008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153209 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Global modes for the complex Ginzburg-Landau equation | |
| dc.type | text |