Journal of Singularities
volume 12 (2015), 124-130
Received 14 March 2014. Received in revised form 18 September 2014.
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.
Normal forms, equivariance, reversibility, complete transversal
Mathematical Subject Classification:
37C80, 34C20, 13A50
|Miriam Manoel, corresponding author||Iris de Oliveira Zeli|
|University of São Paulo||University of Campinas|
|Mathematics Department||IMECC - Mathematics Department|
|P.O. Box 668||P. O. Box 6065|
|13560-970, São Carlos - SP, Brazil||13083-859, Campinas - SP, Brazil|
|email: email@example.com||email: firstname.lastname@example.org|