Abstract
Hamilton’s principal function for an N-degree-of-freedom non autonomous Hamiltonian system is expressed in terms of quadratures involving N, possibly time-dependent, invariants in involution. This determines a set of 2N canonical coordinates and momenta, each of which is an invariant.
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Lewis, H.R., Bouquet, S. (1999). Hamilton’s principal function and integration by quadratures for an N-degree-of-freedom non - autonomous system given N invertible invariants in involution. In: Leach, P.G.L., Bouquet, S.E., Rouet, JL., Fijalkow, E. (eds) Dynamical Systems, Plasmas and Gravitation. Lecture Notes in Physics, vol 518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105934
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DOI: https://doi.org/10.1007/BFb0105934
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