Standard

On the existence of quasiperiodic motion of quasilinear systems. / Bibikov, Yu N.

в: Prikladnaya Matematika i Mekhanika, Том 59, № 1, 01.01.1995, стр. 21-29.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Bibikov, YN 1995, 'On the existence of quasiperiodic motion of quasilinear systems', Prikladnaya Matematika i Mekhanika, Том. 59, № 1, стр. 21-29.

APA

Bibikov, Y. N. (1995). On the existence of quasiperiodic motion of quasilinear systems. Prikladnaya Matematika i Mekhanika, 59(1), 21-29.

Vancouver

Bibikov YN. On the existence of quasiperiodic motion of quasilinear systems. Prikladnaya Matematika i Mekhanika. 1995 Янв. 1;59(1):21-29.

Author

Bibikov, Yu N. / On the existence of quasiperiodic motion of quasilinear systems. в: Prikladnaya Matematika i Mekhanika. 1995 ; Том 59, № 1. стр. 21-29.

BibTeX

@article{8045a0bd7c0d4bc7b21c2897d7b8d9cb,
title = "On the existence of quasiperiodic motion of quasilinear systems",
abstract = "Qualitative methods of the Kolmogorov-Arnold-Mozer theory are used for investigation of a quasilinear oscillating system with the finite-dimensional frequency basis. A problem is formulated and studied on the existence of quasiperiodic solutions of a disturbed system with the same frequency basis using corresponding assumptions about arithmetic properties of characteristic indices of a generating system. The results of N.N. Bogolyubov and Ya.A. Mitropol'skij are generalized to the case when linear system matrix is not degenerated and allows purely imaginary eigenvalues. Along with consideration of so called algebraic critical case connected with investigations of the above mentioned authors a transcendental case of the matrix critical part is studied with corresponding Mozer's results being substantiated and refined.",
author = "Bibikov, {Yu N.}",
year = "1995",
month = jan,
day = "1",
language = "русский",
volume = "59",
pages = "21--29",
journal = "ПРИКЛАДНАЯ МАТЕМАТИКА И МЕХАНИКА",
issn = "0032-8235",
publisher = "Международная книга",
number = "1",

}

RIS

TY - JOUR

T1 - On the existence of quasiperiodic motion of quasilinear systems

AU - Bibikov, Yu N.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - Qualitative methods of the Kolmogorov-Arnold-Mozer theory are used for investigation of a quasilinear oscillating system with the finite-dimensional frequency basis. A problem is formulated and studied on the existence of quasiperiodic solutions of a disturbed system with the same frequency basis using corresponding assumptions about arithmetic properties of characteristic indices of a generating system. The results of N.N. Bogolyubov and Ya.A. Mitropol'skij are generalized to the case when linear system matrix is not degenerated and allows purely imaginary eigenvalues. Along with consideration of so called algebraic critical case connected with investigations of the above mentioned authors a transcendental case of the matrix critical part is studied with corresponding Mozer's results being substantiated and refined.

AB - Qualitative methods of the Kolmogorov-Arnold-Mozer theory are used for investigation of a quasilinear oscillating system with the finite-dimensional frequency basis. A problem is formulated and studied on the existence of quasiperiodic solutions of a disturbed system with the same frequency basis using corresponding assumptions about arithmetic properties of characteristic indices of a generating system. The results of N.N. Bogolyubov and Ya.A. Mitropol'skij are generalized to the case when linear system matrix is not degenerated and allows purely imaginary eigenvalues. Along with consideration of so called algebraic critical case connected with investigations of the above mentioned authors a transcendental case of the matrix critical part is studied with corresponding Mozer's results being substantiated and refined.

UR - http://www.scopus.com/inward/record.url?scp=0029173162&partnerID=8YFLogxK

M3 - статья

AN - SCOPUS:0029173162

VL - 59

SP - 21

EP - 29

JO - ПРИКЛАДНАЯ МАТЕМАТИКА И МЕХАНИКА

JF - ПРИКЛАДНАЯ МАТЕМАТИКА И МЕХАНИКА

SN - 0032-8235

IS - 1

ER -

ID: 49227874