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Conjugacy of normally tangent diffeomorphisms: A tool for treating moduli of stability. (English) Zbl 0681.58022
We give sufficient conditions for the conjugacy of two diffeomorphisms coinciding on a common invariant submanifold V and with equal normal derivative; moreover we obtain that the homeomorphism h realizing this conjugacy satisfies additional inequalities. These inequalities, implying also the existence of the normal derivative of h along V, serve to extend this conjugacy towards regions where moduli of stability are present.
Reviewer: P.Bonckaert
37C75 Stability theory for smooth dynamical systems
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