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

DOI10.1134/S0012266117040061zbMath1379.37111OpenAlexW2615334070MaRDI QIDQ2399389

I. N. Sergeev

Publication date: 23 August 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117040061

zbMATH Keywords

Lyapunov exponentPerron exponent

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Cites Work

• Sharp bounds on mobility of the Lyapunov exponents of linear Hamiltonian systems under small average perturbations
• A contribution to the theory of Lyapunov exponents for linear systems of differential equations
• Simultaneous attainability of central exponents of four-dimensional Hamiltonian systems under infinitesimal Hamiltonian perturbations
• A proof of the attainability of the central exponents of linear systems
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