LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Simultaneous attainability of central exponents of a linear Hamiltonian system under Hamiltonian perturbations

Photo from wikipedia

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… Click to show full 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.

Keywords: upper lower; system; attainability central; linear hamiltonian; simultaneous attainability; hamiltonian system

Journal Title: Differential Equations
Year Published: 2017

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.