Okuyama, Yusuke

*
Non-linearizability of cubic-perturbed analytic germs at irrationally indifferent fixed points
*

###
Abstract

In this paper, we consider the non-linearizability of analytic germs
with irrationally indifferent fixed points.
Assume that an analytic germ $f$
has an irrationally indifferent fixed point at the
origin and its multiplier satisfies the Tortrat condition, which
is a generalization of the Cremer condition, of degree three. Then
a cubic perturbation of $f$ is non-linearizable at the origin if
this perturbation is large enough.

submission: September 17, 1999

dvi file29420 bytes

PDF file192567 bytes

Back