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- W2397302451 abstract "I. Introduction .—Consider a Hamiltonian system of differential equations where H is a function of the 2 n variables q i and p i involving in general also the time t . For each given Hamiltonian function H the system (1.1) possesses infinitely many absolute and relative integral invariants of every order r = 1,…, 2 n , which can all be written out when (1.1) is integrated. Our interest now is not in these integral invariants, which are possessed by one Hamiltonian system, but in those which are possessed by all Hamiltonian systems. Such an integral invariant, which is independent of the Hamiltonian H, is said to be universal ." @default.
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- W2397302451 date "1948-01-01" @default.
- W2397302451 modified "2023-09-27" @default.
- W2397302451 title "XXVI.—The Universal Integral Invariants of Hamiltonian Systems and Application to the Theory of Canonical Transformations" @default.
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- W2397302451 doi "https://doi.org/10.1017/s0080454100006646" @default.
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