Geodesic
Proof of the strengthened version of simultaneous attainability of central exponents in the class of Hamiltonian systems
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2017), pp. 66-69 
T. V. Salova. Proof of the strengthened version of simultaneous attainability of central exponents in the class of Hamiltonian systems. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2017), pp. 66-69. http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a11/
@article{VMUMM_2017_4_a11,
     author = {T. V. Salova},
     title = {Proof of the strengthened version of simultaneous attainability of central exponents in the class of {Hamiltonian} systems},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {66--69},
     year = {2017},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a11/}
}
TY  - JOUR
AU  - T. V. Salova
TI  - Proof of the strengthened version of simultaneous attainability of central exponents in the class of Hamiltonian systems
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2017
SP  - 66
EP  - 69
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a11/
LA  - ru
ID  - VMUMM_2017_4_a11
ER  - 
%0 Journal Article
%A T. V. Salova
%T Proof of the strengthened version of simultaneous attainability of central exponents in the class of Hamiltonian systems
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2017
%P 66-69
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_2017_4_a11/
%G ru
%F VMUMM_2017_4_a11

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Bylov B.F., Vinograd R.E., Grobman D.M., Nemytskii V.V., Teoriya pokazatelei Lyapunova, Nauka, M., 1966 | MR

[2] Sergeev I.N., “Odnovremennaya dostizhimost tsentralnykh pokazatelei v klasse lineinykh gamiltonovykh sistem”, Differents. uravneniya, 51:11 (2015), 1557–1558

[3] Salova T.V., “Ob odnovremennoi dostizhimosti tsentralnykh pokazatelei dvumernykh gamiltonovykh sistem”, Differents. uravneniya, 42:6 (2006), 854–855

[4] Salova T.V., “Odnovremennaya dostizhimost tsentralnykh pokazatelei chetyrekhmernykh gamiltonovykh sistem pri beskonechno malykh gamiltonovykh vozmuscheniyakh”, Differents. uravneniya, 50:11 (2014), 1441–1454 | DOI | MR | Zbl

[5] Sergeev I.N., “Tochnye granitsy podvizhnosti pokazatelei Lyapunova lineinykh gamiltonovykh sistem pri malykh v srednem vozmuscheniyakh”, Tr. seminara im. I. G. Petrovskogo, 14, 1989, 125–139 | Zbl

[6] Sergeev I.N., “Ob universalnykh formulakh s neravnomernymi shkalami vremeni dlya tsentralnykh pokazatelei lineinykh sistem”, Differents. uravneniya, 52:11 (2016), 1589–1590

[7] Sergeev I.N., “K teorii pokazatelei Lyapunova lineinykh sistem differentsialnykh uravnenii”, Tr. seminara im. I. G. Petrovskogo, 9, 1983, 111–166 | Zbl