SU\G(𝔸)/K·U

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Generic bifurcation of reversible vector fields on a 2-dimensional manifold

Generic bifurcation of reversible vector fields on a 2-dimensional manifold

In this paper we deal with reversible vector fields on a 2-dimensional manifold having a codimension one submanifold as its symmetry axis.We classify generically the one parameter families of such vector fields.As a matter of fact, aspects of structural stability and codimension one bifurcation are analysed.