MODULI-FREE NORMAL FORMS AND LINEARIZATION OF VECTOR FIELDS

Abstract

In this paper we study C1 linearization and classification of germs of hyperbolic vector fields on Rn. Two sets of algebraic conditions imposed on the eigenvalues of vector fields are given, under either of which strict similarity of the linear parts is necessary and sufficient for C1 conjugacy of two vector fields. Furthermore, one set of the algebraic conditions together with strict similarity also imply linearization.