Resumen de Constants of motion associated with canonoid transformations for non-autonomous systems
Gerardo Francisco Torres del Castillo, R. Azuaje
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^(α)_(β), whose eigenvalues are constants of motion. We prove that if the Nijenhuis torsion tensor of S^(α)_(β) is equal to zero then the eigenvalues of S^(α)_(β) are in involution, and that these eigenvalues may be in involution even if the Nijenhuis tensor is not zero.
