Rotating waves in a parabolic problem with a transformed argument (Q2759356)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Rotating waves in a parabolic problem with a transformed argument |
scientific article; zbMATH DE number 1681770
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rotating waves in a parabolic problem with a transformed argument |
scientific article; zbMATH DE number 1681770 |
Statements
12 December 2001
0 references
parabolic equation
0 references
periodic solutions
0 references
waves
0 references
asymptotic analysis
0 references
bifurcations
0 references
Rotating waves in a parabolic problem with a transformed argument (English)
0 references
The author investigates the problem of bifurcations of the orbitally stable space-inhomogeneous solutions of the rotating wave type originated from the space-homogeneous stable solution of the parabolic equation with the turning transformation of the space coordinate. The equation under consideration appears in modelling processes of the luminous field self-effect in the optical resonator with a distributed feedback. Asymptotics for the originating periodic solutions are found in an explicit form.
0 references
