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Details for article 56 of 120 found articles
| Title: |
Investigation of the ABC flow instability with application of centre manifold reduction |
| Author: |
Podvigina, O. M. |
| Appeared in: |
Dynamical systems |
| Paging: | Volume 21 (2006) nr. 2 pages 191-208 |
| Year: |
2006-06-01 |
| Contents: |
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. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 56 of 120 found articles
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