Аннотация:
Two weakly hyperbolic smooth $\mathbf{Z}^k \times \mathbf{R}^m$-action germs are smoothly conjugate if and only if they are formally conjugate, and such.
Ключевые слова:Hyperbolic, action germ, conjugacy, invariant manifold, normal form, flow, Lyapunov function, Cauchy problem, holomorphic vector field, first integral.
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