A Classification of the Integrals of Motion.
Abstract
A distinction is made between isolating, quasiisolating, and ergodic integrals of motion of a Hamiltonian system In the quasiisolating case there is eventually a set of isolating integral hypersurfaces. A new proof is given of the theorem that, if a Hamiltonian H is a series in the variables, another Hamiltonian H coinciding with the given one up to the terms of any given degree has as many isolating integrals as there are degrees of freedom. Then a distinction between stable, quasistable, and unstable integrals is made
 Publication:

The Astrophysical Journal
 Pub Date:
 November 1963
 DOI:
 10.1086/147724
 Bibcode:
 1963ApJ...138.1297C