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Integrability of the Hénon-Heiles system

✍ Scribed by R.G. Smirnov


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
211 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis


An integrable case of the Hdnon-Heiles system is isolated by deriving a suitable bi-Hamiltonian structure leading to its complete integrability in the sense of Arnol'd-Liouville.


📜 SIMILAR VOLUMES


Non-autonomous Hénon-Heiles systems
✍ Andrew N.W. Hone 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 836 KB

Scaling similarity solutions of three integrable PDEs, namely the Sawada-Kotera, fifth order KdV and Kaup--Kupershmidt equations, are considered. It is shown that the resulting ODEs may be written as non-autonomous Hamiltonian equations, which are time-dependent generalizations of the well-known int