𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The stability of multidimensional hamiltonian systems

✍ Scribed by V.N. Tkhai

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
814 KB
Volume
49
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Formal stability of Hamiltonian systems
Formal stability of Hamiltonian systems
✍ James Glimm πŸ“‚ Article πŸ“… 1964 πŸ› John Wiley and Sons 🌐 English βš– 796 KB

This is motivated by the formula (P 0 Z)-1 = P-'(l + P-'(P 0 z -P)-1 = P-' c [-P-l(P 0 2 -P)].. Proof: We first show that vq = 6 + [v,,]~~+~ + . -€9;. When p = 0 this is true with respect to the term ("q"pp of v. Let p # 0; then The first term has d, = d,(tmqnpP) -1 and d, = d,(E"qnpP). Thus d ,5 j

STOCHASTIC STABILITY OF QUASI-NON-INTEGR
STOCHASTIC STABILITY OF QUASI-NON-INTEGRABLE-HAMILTONIAN SYSTEMS
✍ W.Q. Zhu; Z.L. Huang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 299 KB

An n-degree-of-freedom quasi-non-integrable-Hamiltonian system is first reduced to an Itoˆequation of one-dimensional averaged Hamiltonian by using the stochastic averaging method developed by the first author and his coworkers. The necessary and sufficient conditions for the asymptotic stability in