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Classical Mechanics with Mathematica® pp 95–103Cite as

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One-Parameter Groups of Diffeomorphisms

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Abstract

Aone-parameter global group of diffeomorphisms G on a manifold V n of class C k, k>0, is a C k map

$$\phi : (t,x) \in \mathfrak{R}\times {V }_{n} \rightarrow {\phi }_{t}(x) \in {V }_{n}$$
(7.1)

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  1. Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli, Napoli, Italia

    Antonio Romano

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Romano, A. (2012). One-Parameter Groups of Diffeomorphisms. In: Classical Mechanics with Mathematica®. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8352-8_7

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