Topology and stability of integrable systems
2
Institute of Computer Science, Izhevsk, Russian Federation
|
Publication type: Journal Article
Publication date: 2010-07-27
scimago Q2
wos Q1
SJR: 0.684
CiteScore: 1.7
Impact factor: 2.1
ISSN: 00360279, 14684829
General Mathematics
Abstract
In this paper a general topological approach is proposed for the study of stability of periodic solutions of integrable dynamical systems with two degrees of freedom. The methods developed are illustrated by examples of several integrable problems related to the classical Euler-Poisson equa- tions, the motion of a rigid body in a fluid, and the dynamics of gaseous expanding ellipsoids. These topological methods also enable one to find non-degenerate periodic solutions of integrable systems, which is especially topical in those cases where no general solution (for example, by separation of variables) is known. Bibliography: 82 titles.
Found
Nothing found, try to update filter.
Top-30
Journals
|
2
4
6
8
10
12
14
16
18
20
|
|
|
Regular and Chaotic Dynamics
19 publications, 35.19%
|
|
|
Doklady Mathematics
5 publications, 9.26%
|
|
|
Journal of Physics: Conference Series
3 publications, 5.56%
|
|
|
Qualitative Theory of Dynamical Systems
2 publications, 3.7%
|
|
|
Nonlinear Dynamics
2 publications, 3.7%
|
|
|
Russian Journal of Mathematical Physics
2 publications, 3.7%
|
|
|
Математический сборник
2 publications, 3.7%
|
|
|
AIP Conference Proceedings
2 publications, 3.7%
|
|
|
Physics of Fluids
1 publication, 1.85%
|
|
|
Chaos
1 publication, 1.85%
|
|
|
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
1 publication, 1.85%
|
|
|
Mathematics
1 publication, 1.85%
|
|
|
Journal of Mathematical Sciences
1 publication, 1.85%
|
|
|
Celestial Mechanics and Dynamical Astronomy
1 publication, 1.85%
|
|
|
Topology and its Applications
1 publication, 1.85%
|
|
|
Fluid Dynamics Research
1 publication, 1.85%
|
|
|
Nonlinearity
1 publication, 1.85%
|
|
|
Physica D: Nonlinear Phenomena
1 publication, 1.85%
|
|
|
Journal of Geometry and Physics
1 publication, 1.85%
|
|
|
Doklady Physics
1 publication, 1.85%
|
|
|
Journal of Geometric Mechanics
1 publication, 1.85%
|
|
|
Lecture Notes in Computer Science
1 publication, 1.85%
|
|
|
Physical Review D
1 publication, 1.85%
|
|
|
Mechanics of Solids
1 publication, 1.85%
|
|
|
Lobachevskii Journal of Mathematics
1 publication, 1.85%
|
|
|
2
4
6
8
10
12
14
16
18
20
|
Publishers
|
5
10
15
20
25
30
|
|
|
Pleiades Publishing
29 publications, 53.7%
|
|
|
Springer Nature
7 publications, 12.96%
|
|
|
IOP Publishing
5 publications, 9.26%
|
|
|
AIP Publishing
4 publications, 7.41%
|
|
|
Elsevier
3 publications, 5.56%
|
|
|
Steklov Mathematical Institute
2 publications, 3.7%
|
|
|
The Royal Society
1 publication, 1.85%
|
|
|
MDPI
1 publication, 1.85%
|
|
|
American Institute of Mathematical Sciences (AIMS)
1 publication, 1.85%
|
|
|
American Physical Society (APS)
1 publication, 1.85%
|
|
|
5
10
15
20
25
30
|
- We do not take into account publications without a DOI.
- Statistics recalculated weekly.
Are you a researcher?
Create a profile to get free access to personal recommendations for colleagues and new articles.
Metrics
54
Total citations:
54
Citations from 2024:
6
(11%)
Cite this
GOST |
RIS |
BibTex |
MLA
Cite this
GOST
Copy
Bolsinov A. V., Borisov A. V., Mamaev I. S. Topology and stability of integrable systems // Russian Mathematical Surveys. 2010. Vol. 65. No. 2. pp. 259-318.
GOST all authors (up to 50)
Copy
Bolsinov A. V., Borisov A. V., Mamaev I. S. Topology and stability of integrable systems // Russian Mathematical Surveys. 2010. Vol. 65. No. 2. pp. 259-318.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1070/RM2010v065n02ABEH004672
UR - https://doi.org/10.1070/RM2010v065n02ABEH004672
TI - Topology and stability of integrable systems
T2 - Russian Mathematical Surveys
AU - Bolsinov, Aleksei V
AU - Borisov, Alexey Vladimirovich
AU - Mamaev, Ivan S.
PY - 2010
DA - 2010/07/27
PB - IOP Publishing
SP - 259-318
IS - 2
VL - 65
SN - 0036-0279
SN - 1468-4829
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{2010_Bolsinov,
author = {Aleksei V Bolsinov and Alexey Vladimirovich Borisov and Ivan S. Mamaev},
title = {Topology and stability of integrable systems},
journal = {Russian Mathematical Surveys},
year = {2010},
volume = {65},
publisher = {IOP Publishing},
month = {jul},
url = {https://doi.org/10.1070/RM2010v065n02ABEH004672},
number = {2},
pages = {259--318},
doi = {10.1070/RM2010v065n02ABEH004672}
}
Cite this
MLA
Copy
Bolsinov, Aleksei V., et al. “Topology and stability of integrable systems.” Russian Mathematical Surveys, vol. 65, no. 2, Jul. 2010, pp. 259-318. https://doi.org/10.1070/RM2010v065n02ABEH004672.