| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000460838 |
| ISSN: | 0035-001X |
| Authors: | Torres del Castillo, G.F1 Azuaje, R2 |
| Institutions: | 1Benemérita Universidad Autónoma de Puebla, Instituto de Ciencias, Puebla. México 2Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico Matemáticas, Puebla. México |
| Year: | 2022 |
| Season: | Mar-Abr |
| Volumen: | 68 |
| Number: | 2 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | We consider non-autonomous systems of ordinary differential equations that can be expressed in Hamiltonian form in terms of two different coordinate systems, not related by a canonical transformation. We show that the relationship between these coordinate systems leads to a, possibly time-dependent, tensor field, S β α, whose eigenvalues are constants of motion. We prove that if the Nijenhuis torsion tensor of S β α is equal to zero then the eigenvalues of S β α are in involution, and that these eigenvalues may be in involution even if the Nijenhuis tensor is not zero |
| Disciplines: | Física y astronomía |
| Keyword: | Gravitación, Sistemas integrables, Sistemas no autónomos, Transformaciones canonoides, Tensor de torsión de Nijenhuis |
| Keyword: | Gravitation, Integrable systems, Non-autonomous systems, Canonoid transformations, Nijenhuis torsion tensor |
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