A coordinate-independent center manifold reduction

We give a method for performing the center manifold reduction that eliminates the need to transform the original equations of motion into eigencoordinates. To achieve this, we write the center manifold as an embedding, rather than as a graph over the center subspace.

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Bibliographic Details
Published in:Physics letters. A 1993-03, Vol.174 (1), p.89-93
Main Author: Leen, Todd K.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Classical mechanics of discrete systems: general mathematical aspects
Exact sciences and technology
Physics
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Description
Summary:We give a method for performing the center manifold reduction that eliminates the need to transform the original equations of motion into eigencoordinates. To achieve this, we write the center manifold as an embedding, rather than as a graph over the center subspace.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(93)90548-E