𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The non-integrability of the restricted problem of two vortices in closed domains

✍ Scribed by Luca Zannetti; Pasquale Franzese

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
642 KB
Volume
76
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Analytical Non-integrability of the Trun
Analytical Non-integrability of the Truncated Two Fixed Centres Problem in the Symmetric Case
✍ Maylis Irigoyen πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 312 KB

The Problem of two fixed centres is an integrable Hamiltonian system. If one truncates the Taylor expansion of the potential of this problem (in the symmetric case) at any order 3, we prove that one obtains a system which does not admit any first integral, meromorphic and functionally independent of

The formal integrals of the regularized
The formal integrals of the regularized restricted planar problem of three bodies
✍ E. I. Timoshkova πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 329 KB πŸ‘ 2 views

## Abstract The algorithm for constructing the first integrals of motion of the regularized restricted planar problem of three bodies is proposed. The integrals are constructed as the formal power series in one from variables. It is shown that coefficients of these series are trigonometric polynomi