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The Bolzano–Poincaré–Miranda theorem – discrete version

✍ Scribed by Marian Turzański


Book ID
116920776
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
137 KB
Volume
159
Category
Article
ISSN
0166-8641

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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