Polynomial first integrals for systems with gyroscopic forces
โ Scribed by V. V. Ten
- Book ID
- 110613941
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2000
- Tongue
- English
- Weight
- 233 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0001-4346
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๐ SIMILAR VOLUMES
A general method for the structural transformation of dynamical systems containing gyroscopic forces is considered. The method simplifies the investigation without changing the qualitative properties of the initial system. Examples are considered.
Results obtained previously [1,2], which are applicable to mechanical systems containing non-conservative positional forces, are developed and generalized. The necessary and sufficient conditions are formulated for the transition to a certain matrix equation, the use of which enables one to overcome
A reversible system of ordinary differential equations (ODE) possessing some first integrals is considered. A simple description of the first integral space is given. It is shown that, under the auxiliary assumption that the integrals are symmetric (i.e., they do not change sign under the action of