𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An algorithm for normalizing Hamiltonian systems in the problem of the orbital stability of periodic motions

✍ Scribed by A.P. Markeyev

Book ID
108332613
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
571 KB
Volume
66
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A constructive algorithm for the normali
A constructive algorithm for the normalization of a periodic hamiltonian
✍ A.P. Markeyev πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 868 KB

A time-periodic Hamiltonian system is considered. It is assumed that the system has an equilibrium position in whose neighbourhood the Hamiltonian is analytic. A constructive algorithm is proposed for computing the coefficients of the normal form of the Hamiltonian. The algorithm is based on a speci

The boundedness of trajectories in the n
The boundedness of trajectories in the neighbourhood of the orbitally unstable periodic motion of a Hamiltonian system
✍ A.P. Markeyev πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 686 KB

An autonomous Hamiltonian system with two degrees of freedom is considered. It is assumed that a periodic motion and a secondorder resonance (parametric resonance) exist in the system. The unperturbed periodic motion is orbitally stable or unstable. However, even in the case of instability, the traj

The orbital stability of periodic motion
The orbital stability of periodic motions of a Hamiltonian system with two degrees of freedom in the case of 3:1 resonance
✍ B.S. Bardin πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 344 KB

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