Summary: The paper is devoted to the study of real analytic vector fields, which can be expanded in terms of homogeneous fields of degree greater than or equal to one with respect to an arbitrary dilation. Necessary and sufficient conditions are given for the existence of a local coordinate change that transforms the field into the homogeneous field of degree one.
Normal Forms for Vector Fields with respect to an Arbitrary Dilation
ANCONA, FABIO
1996
Abstract
Summary: The paper is devoted to the study of real analytic vector fields, which can be expanded in terms of homogeneous fields of degree greater than or equal to one with respect to an arbitrary dilation. Necessary and sufficient conditions are given for the existence of a local coordinate change that transforms the field into the homogeneous field of degree one.
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