๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Stability of linear almost-Hamiltonian periodic systems

โœ Scribed by E.E. Shnol'

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
516 KB
Volume
60
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

โœฆ Synopsis

A linear Hamiltonian ~ystem with periodic coefficients is subject to a small "dissipative" perturbation that makes it asymptotically stable. The conditions 1ruder which the perturbation remains dissipative for all Hamiltonian systems sufficiently close to the original one are discussed.

๐Ÿ“œ SIMILAR VOLUMES

Stability of linear periodic systems
Stability of linear periodic systems
โœ Paul M. Lion ๐Ÿ“‚ Article ๐Ÿ“… 1966 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 928 KB

A method for calculating the solution, in Floquet form, to a system of linear di$erential equations with periodic parameters is developed. As a result, both the periodic and exponential parts of the solution are developed as power series in a small parameter, E. From this solution, approximate expre

ALMOST-SURE STABILITY OF LINEAR GYROSCOP
ALMOST-SURE STABILITY OF LINEAR GYROSCOPIC SYSTEMS
โœ V.J. NOLAN; N. SRI NAMACHCHIVAYA ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 236 KB

This paper studies the stability behaviour of a linear gyroscopic system parametrically perturbed by a (multiplicative) real noise of small intensity. To this end, its maximal Lyapunov exponent is calculated using the method of Sri Namachchivaya et al. [1]. The results derived are suitable for cases