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A homomorphism theorem for the Poincaré group

✍ Scribed by D. K. Sen


Publisher
Springer
Year
1974
Tongue
English
Weight
226 KB
Volume
10
Category
Article
ISSN
0020-7748

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The Poincaré–Lyapounov–Nekhoroshev Theor
✍ Giuseppe Gaeta 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 169 KB

We give a detailed and mainly geometric proof of a theorem by N. N. Nekhoroshev for hamiltonian systems in n degrees of freedom with k constants of motion in involution, where 1 ≤ k ≤ n. This state's persistence of k-dimensional invariant tori, and local existence of partial action-angle coordinates