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Integrable Motions of a Pendulum in a Two-Dimensional Plane.
- Source :
-
Journal of Mathematical Sciences . Dec2017, Vol. 227 Issue 4, p419-441. 23p. - Publication Year :
- 2017
-
Abstract
- In this paper, we examine new cases of integrability of dynamical systems on the tangent bundle to a low-dimensional sphere, including flat dynamical systems that describe a rigid body in a nonconservative force field. The problems studied are described by dynamical systems with variable dissipation with zero mean. We detect cases of integrability of equations of motion in transcendental functions (in terms of classification of singularity) that are expressed through finite combinations of elementary functions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 227
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 125825509
- Full Text :
- https://doi.org/10.1007/s10958-017-3595-x