Back to Search
Start Over
Examples of Integrable Systems with Dissipation on the Tangent Bundles of Three-Dimensional Manifolds
- Source :
- Journal of Mathematical Sciences. 250:964-972
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- In this paper, we prove the integrability of certain classes of dynamical systems on the tangent bundles of four-dimensional manifolds (systems with four degrees of freedom). The force field considered possessed so-called variable dissipation; they are generalizations of fields studied earlier. This paper continues earlier works of the author devoted to systems on the tangent bundles of two- and three-dimensional manifolds.
- Subjects :
- Statistics and Probability
Pure mathematics
Integrable system
Dynamical systems theory
Applied Mathematics
General Mathematics
010102 general mathematics
Degrees of freedom
Tangent
Dissipation
01 natural sciences
Force field (chemistry)
010305 fluids & plasmas
0103 physical sciences
Mathematics::Differential Geometry
0101 mathematics
Mathematics::Symplectic Geometry
Mathematics
Variable (mathematics)
Subjects
Details
- ISSN :
- 15738795 and 10723374
- Volume :
- 250
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi...........f82c3dcc8c0adf60d645c5d71f885efc