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Symmetries, cosymmetries and bifurcations without parameter in hydrodynamic problemsстатья Исследовательская статья
- Автор: Afendikov Andrei
- Журнал: AIP Conference Proceedings
- Том: 2153
- Номер: 1
- Год издания: 2019
- DOI: 10.1063/1.5125066
- Аннотация: Kirchgässner reduction was used to treat convection in a plane layer between insulating boundaries. In this formulation a one parameter family of equilibria exists with the stability spectrum depending on a point on it. This phenomenon is similar to the one observed in problems with cosymmetry since on a center manifold in the vicinity of a line of equilibria nontrivial cosymmetry exists. It is demonstrated that on a spatial center manifold in the vicinity of a line of equilibria, the bifurcation picture depends on the choice of the boundary conditions which leads to different reversible problems.
- Добавил в систему: Афендиков Андрей Леонидович