Dynamics of normalized systems on surfaces

Marco Sabatini

DOI: http://dx.doi.org/10.12775/TMNA.2004.022

Abstract


We extend to normalized systems several properties of
commuting systems
proved in [M. Sabatini, < i> Dynamics of commuting systems on two-dimensional manifolds< /i> , Ann.
Mat. Pura Appl. < b> CLXXIII (IV)< /b> (1997), 213–232].
A rough classification of the dynamics induced by normalized vector fields on two-dimensional compact connected
oriented manifolds is given.

Keywords


Normalizer; dynamics; Euler characteristic

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