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Details van artikel 56 van 120 gevonden artikelen
| Titel: |
Investigation of the ABC flow instability with application of centre manifold reduction |
| Auteur: |
Podvigina, O. M. |
| Verschenen in: |
Dynamical systems |
| Paginering: | Jaargang 21 (2006) nr. 2 pagina's 191-208 |
| Jaar: |
2006-06-01 |
| Inhoud: |
We demonstrate that application of a generalized centre manifold is advantageous when low-dimensional reductions of continuous dynamical systems of hydrodynamic type are considered. The centre manifold theorem that we use differs from the standard one in the following way. We define a centre manifold as an invariant manifold, tangent to the eigenspace of the linearization of the mapping defining a dynamical system, where the eigenspace is associated with eigenvalues with small but not necessarily zero real parts (usually only eigenvalues with zero real parts are employed). As a result, several bifurcations following the onset of instability of the trivial steady state are reproduced in the eight-dimensional system that we obtain, whilst in the six-dimensional system constructed with application of the conventional centre manifold theorem only the first bifurcation of the steady state is reproduced correctly. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 56 van 120 gevonden artikelen
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