Complete transversals of symmetric vector fields
Journal of Singularities, Tome 12 (2015), pp. 124-130
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We use group representation theory to obtain complete transversals of singularities of vector fields in nonsymmetric as well as reversible and equivariant contexts. The method is an algebraic alternative to compute complete transversals, producing normal forms to be applied systematically in the local analysis of symmetric dynamics.
@article{10_5427_jsing_2015_12h,
author = {Miriam Manoel and Iris de Oliveira Zeli},
title = {Complete transversals of symmetric vector fields},
journal = {Journal of Singularities},
pages = {124--130},
publisher = {mathdoc},
volume = {12},
year = {2015},
doi = {10.5427/jsing.2015.12h},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.12h/}
}
TY - JOUR AU - Miriam Manoel AU - Iris de Oliveira Zeli TI - Complete transversals of symmetric vector fields JO - Journal of Singularities PY - 2015 SP - 124 EP - 130 VL - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.12h/ DO - 10.5427/jsing.2015.12h ID - 10_5427_jsing_2015_12h ER -
Miriam Manoel; Iris de Oliveira Zeli. Complete transversals of symmetric vector fields. Journal of Singularities, Tome 12 (2015), pp. 124-130. doi: 10.5427/jsing.2015.12h
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