Geodesic
The existence of a~two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents
Sbornik. Mathematics, Tome 209 (2018) no. 12, pp. 1812-1826

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

A two-dimensional linear homogeneous differential system with continuous bounded coefficients is constructed so that the frequencies and wandering exponents of each of its nonzero solutions coincide with each other and the set of their values at different solutions (the spectrum) is some interval of the number line. Bibliography: 12 titles.
Keywords: linear system, characteristic exponents, frequencies, wandering exponents, uniformly distributed sequence. 
@article{SM_2018_209_12_a7,
     author = {E. M. Shishlyannikov},
     title = {The existence of a~two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents},
     journal = {Sbornik. Mathematics},
     pages = {1812--1826},
     publisher = {mathdoc},
     volume = {209},
     number = {12},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2018_209_12_a7/}
}
TY  - JOUR
AU  - E. M. Shishlyannikov
TI  - The existence of a~two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents
JO  - Sbornik. Mathematics
PY  - 2018
SP  - 1812
EP  - 1826
VL  - 209
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2018_209_12_a7/
LA  - en
ID  - SM_2018_209_12_a7
ER  - 
%0 Journal Article
%A E. M. Shishlyannikov
%T The existence of a~two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents
%J Sbornik. Mathematics
%D 2018
%P 1812-1826
%V 209
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2018_209_12_a7/
%G en
%F SM_2018_209_12_a7
E. M. Shishlyannikov. The existence of a~two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents. Sbornik. Mathematics, Tome 209 (2018) no. 12, pp. 1812-1826. http://geodesic.mathdoc.fr/item/SM_2018_209_12_a7/