Stability in a Hamiltonian system
โ Scribed by A. D. Bryuno
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1986
- Tongue
- English
- Weight
- 318 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The problem of the orbital stability of periodic motions, produced from an equilibrium position of an autonomous Hamiltonian system with two degrees of freedom is considered. The Hamiltonian function is assumed to be analytic and alternating in a certain neighbourhood of the equilibrium position, th
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,,]~~+~ + . -โฌ9;. 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