Geodesic
On simplified formulas for the central exponents of differential systems with non-uniform scales
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2018), pp. 60-78

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

We study the Vinograd–Millionshchikov central exponents, which represent the exact outer boundaries for the mobility of the extremal values of the Lyapunov and Perron exponents of a linear differential system under uniformly small perturbations of its coefficients. We prove the possibility of calculating those exponents using simplified formulas with expanding time scales and obtain concrete estimates of the central exponents with simplified ones, calculated in different scales: thick, expanding, slowly expanding and sparse.
Keywords: differential equation, linear system, stability, Lyapunov exponent, central exponent. 
@article{IVM_2018_10_a6,
     author = {I. N. Sergeev},
     title = {On simplified formulas for the central exponents of differential systems with non-uniform scales},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {60--78},
     publisher = {mathdoc},
     number = {10},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_10_a6/}
}
TY  - JOUR
AU  - I. N. Sergeev
TI  - On simplified formulas for the central exponents of differential systems with non-uniform scales
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2018
SP  - 60
EP  - 78
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2018_10_a6/
LA  - ru
ID  - IVM_2018_10_a6
ER  - 
%0 Journal Article
%A I. N. Sergeev
%T On simplified formulas for the central exponents of differential systems with non-uniform scales
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2018
%P 60-78
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2018_10_a6/
%G ru
%F IVM_2018_10_a6
I. N. Sergeev. On simplified formulas for the central exponents of differential systems with non-uniform scales. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2018), pp. 60-78. http://geodesic.mathdoc.fr/item/IVM_2018_10_a6/