36 search results - page 2 / 8 » On Invariant Manifolds of Dynamical Systems in Lie Algebras |
AB
2007
Springer
13 years 10 months ago
2007
Springer
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equations. ...
VISUALIZATION
1995
IEEE
13 years 10 months ago
1995
IEEE
Invariant tori are examples of invariant manifolds in dynamical systems. Usual tools in dynamical systems such as analysis and numerical simulations alone are often not sufficient...
CSJM
2008
13 years 6 months ago
2008
In a present paper a problem of classification of Aff(2, R)orbits' dimensions is considered on example of an autonomous two-dimensional affine differential system of first or...
SIAMADS
2010
13 years 1 months ago
2010
Abstract. We derive a simple criterion for transverse instabilities along a general invariant manifold of a multidimensional dynamical system. The criterion requires an appropriate...
JMLR
2012
11 years 9 months ago
2012
Often, high dimensional data lie close to a low-dimensional submanifold and it is of interest to understand the geometry of these submanifolds. The homology groups of a manifold a...