On the reduction of dynamical systems by means of parametrized invariant relations
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- by E. R. van Kampen and Aurel Wintner PDF
- Trans. Amer. Math. Soc. 44 (1938), 168-195 Request permission
References
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F. Engel, Die Liesche Theorie der partiellen Differentialgleichungen erster Ordnung, edited by K. Faber, Leipzig, 1932.
- E. R. Van Kampen and Aurel Wintner, On the Canonical Transformations of Hamiltonian Systems, Amer. J. Math. 58 (1936), no. 4, 851–863. MR 1507207, DOI 10.2307/2371255
- E. R. Van Kampen and Aurel Wintner, On a Symmetrical Canonical Reduction of the Problem of Three Bodies, Amer. J. Math. 59 (1937), no. 1, 153–166. MR 1507227, DOI 10.2307/2371569 T. Levi-Civita, Sur la recherche des solutions particulières des systèmes différentiels et sur les mouvements stationaires, Prace Matematyczno-Fizyczne, vol. 17 (1906), pp. 1-40. T. Levi-Civita, Sulla introduzione di vincoli olonomi nelle equazioni dinamiche di Hamilton Atti del Reale Istituto Veneto, (8), vol. 18$_{1}$ (1916), pp. 387-395.
- Aurel Wintner, On the linear conservative dynamical systems, Ann. Mat. Pura Appl. 13 (1934), no. 1, 105–112. MR 1553236, DOI 10.1007/BF02413437
Additional Information
- © Copyright 1938 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 44 (1938), 168-195
- MSC: Primary 34A34; Secondary 34A25, 34C20, 37J15, 70F20, 70F25, 70H05
- DOI: https://doi.org/10.1090/S0002-9947-1938-1501966-6
- MathSciNet review: 1501966