Simultaneous attainability of central exponents of a linear Hamiltonian system under Hamiltonian perturbations
- Authors: Sergeev I.N.1
-
Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 53, No 4 (2017)
- Pages: 479-484
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154347
- DOI: https://doi.org/10.1134/S0012266117040061
- ID: 154347
Cite item
Abstract
We show that, for any linear Hamiltonian system, there exists an arbitrarily close (in the uniform metric on the half-line) linear Hamiltonian system whose upper and lower Lyapunov exponents coincide with the upper and lower upper-limit central Vinograd–Millionshchikov exponents, respectively, of the original system and whose upper and lower Perron exponents coincide with the respective lower-limit exponents of the original system.
About the authors
I. N. Sergeev
Lomonosov Moscow State University
Author for correspondence.
Email: igniserg@gmail.com
Russian Federation, Moscow, 119992
Supplementary files
