Coincidence of complete and vector frequencies of solutions of a linear autonomous system
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 75-93
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It is shown that for each solution of any linear autonomous system, the complete frequency and the vector frequency coincide. This implies that their spectra coincide with the set of absolute values of the imaginary parts of the eigenvalues of the coefficient matrix of the system.
@article{TSP_2014_30_30_a3,
author = {D. S. Burlakov and S. V. Tsoii},
title = {Coincidence of complete and vector frequencies of solutions of a linear autonomous system},
journal = {Trudy Seminara im. I.G. Petrovskogo},
pages = {75--93},
publisher = {mathdoc},
volume = {30},
number = {30},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a3/}
}
TY - JOUR AU - D. S. Burlakov AU - S. V. Tsoii TI - Coincidence of complete and vector frequencies of solutions of a linear autonomous system JO - Trudy Seminara im. I.G. Petrovskogo PY - 2014 SP - 75 EP - 93 VL - 30 IS - 30 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a3/ LA - ru ID - TSP_2014_30_30_a3 ER -
%0 Journal Article %A D. S. Burlakov %A S. V. Tsoii %T Coincidence of complete and vector frequencies of solutions of a linear autonomous system %J Trudy Seminara im. I.G. Petrovskogo %D 2014 %P 75-93 %V 30 %N 30 %I mathdoc %U http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a3/ %G ru %F TSP_2014_30_30_a3
D. S. Burlakov; S. V. Tsoii. Coincidence of complete and vector frequencies of solutions of a linear autonomous system. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 75-93. http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a3/