Summable formal invariant curves of diffeomorphisms

作者：Lopez Hernanz L^*

来源：Ergodic Theory and Dynamical Systems, 2012, 32(1): 211-221.

DOI：10.1017/S0143385710000805

Let F be a tangent to the identity diffeomorphism in (C(2), 0) and X its infinitesimal generator. We prove that Camacho and Sad%26apos;s formal invariant curves of X give summable formal power series, whose sums correspond to the parabolic curves found by Hakim for F and F(-1).

• 出版日期2012-2