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On the Poincaré-Lyapunov theorem

✍ Scribed by Richard Bellman


Book ID
107967151
Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
178 KB
Volume
4
Category
Article
ISSN
0362-546X

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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