A Forgotten Theorem on ${\bf Z}^k \times {\bf R}^m$-action Germs and Related Questions

2013, Volume 18, Number 6, pp. 742-773

Author(s): Chaperon M.

Two weakly hyperbolic smooth ${\bf Z}^k \times {\bf R}^m$-action germs are smoothly conjugate if and only if they are formally conjugate, and such.

Keywords: Hyperbolic, action germ, conjugacy, invariant manifold, normal form, flow, Lyapunov function, Cauchy problem, holomorphic vector field, first integral

Citation: Chaperon M., A Forgotten Theorem on ${\bf Z}^k \times {\bf R}^m$-action Germs and Related Questions, Regular and Chaotic Dynamics, 2013, Volume 18, Number 6, pp. 742-773

DOI: 10.1134/S1560354713060130

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