✦ LIBER ✦

The Poincaré—Lyapunov—Liouville—Arnol'd theorem

✍ Scribed by N. N. Nekhoroshev

Book ID: 105060889
Publisher: Springer US
Year: 1994
Tongue: English
Weight: 201 KB
Volume: 28
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01076504

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Poincaré-Lyapunov theorem

✍ Richard Bellman 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 178 KB

Weak Liouville-Arnol′d Theorems and Thei

Weak Liouville-Arnol′d Theorems and Their Implications

✍ Leo T. Butler, Alfonso Sorrentino 📂 Article 📅 2012 🏛 Springer 🌐 English ⚖ 386 KB

The Poincaré–Lyapounov–Nekhoroshev Theor

The Poincaré–Lyapounov–Nekhoroshev Theorem

✍ 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

Blow-up, ZeroαLimit and the Liouville Ty

Blow-up, ZeroαLimit and the Liouville Type Theorem for the Euler-Poincaré Equations

✍ Dongho Chae, Jian-Guo Liu 📂 Article 📅 2012 🏛 Springer 🌐 English ⚖ 268 KB

Application of the Poincaré-Bendixson th

Application of the Poincaré-Bendixson theorem

✍ N. P. Bhatia; A. C. Lazer; Walter Leighton 📂 Article 📅 1966 🏛 Springer 🌐 English ⚖ 391 KB

The Lyapunov-Poincaré method in the theo

The Lyapunov-Poincaré method in the theory of periodic motions

✍ V.N. Tkhai 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 941 KB

The problem of the periodic motions of a system with a small parameter is solved. The non-rough cases, when the problem cannot be solved by a generating system obtained for a zero value of the small parameter, are investigated. Lyapunov's idea of using a new generating system which already contains