Alexander S. Sumbatov, "Invariant Characterization of Liouville’s System with Two Degrees of Freedom," International Journal of Applied Mathematics, Computational Science and Systems Engineering, vol. 4, pp. 74-76, 2022, DOI:10.37394/232026.2022.4.9
Alexander S. Sumbatov. Invariant Characterization of Liouville’s System with Two Degrees of Freedom.
International Journal of Applied Mathematics, Computational Science and Systems Engineering. 2022;4:74-76. 10.37394/232026.2022.4.9
International Journal of Applied Mathematics, Computational Science and Systems Engineering
E-ISSN: 2766-9823
Volume 4, 2022
Invariant Characterization of Liouville’s System with Two Degrees of Freedom
Author:
Abstract: The local problem of finding separated generalized coordinates in a holonomic natural system with two degrees of freedom (if the solution exists) is reduced to the problem of integrability of the Pfaffian systems of differential equations.
Keywords:
Separation of variables, Liouville’s system, differential invariants and parameters, overdetermined PDE system, Pfaffian equations
Pages: 74-76 DOI: 10.37394/232026.2022.4.9WSEAS Transactions on International Journal of Applied Mathematics, Computational Science and Systems Engineering, E-ISSN: 2766-9823, Volume 4, 2022, Art. #9
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