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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 4, Pages 66–69 (Mi vmumm86)

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Proof of the strengthened version of simultaneous attainability of central exponents in the class of Hamiltonian systems

T. V. Salova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The central exponents of a linear Hamiltonian system are moved apart through uniformly small Hamiltonian perturbations of its coefficients, and then they are simultaneously attained by the Lyapunov exponents through infinitesimally small perturbations of the Hamiltonian system obtained.

Key words: linear systems, Hamiltonian systems, Lyapunov exponents, central exponents.

UDC: 517.926.4

Received: 20.12.2016


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:4, 177–179

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© Steklov Math. Inst. of RAS, 2026