โ Scribed by R.S. Mackay; J.D. Meiss
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
This paper outlines how to use holomorphic cylinders with Lagrangian boundaries to prove existence results for periodic orbits of Hamiltonian systems. We describe the case of the cotangent bundle of the Klein bottle, where these results lead to a new obstruction to the existence of Lagrangian embedd
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.