Abstract
This paper presents three two-dimensional integrable Hamiltonians, whose second invariant is rational or transcendental in momenta. A third invariant (canonically conjugate to ) is also found for them, and the motion of the particle explicitly solved. The original Painlevé test does not work very well for these models; however, expansions with four resonances are found in each case.
- Received 27 December 1983
DOI:https://doi.org/10.1103/PhysRevLett.52.1057
©1984 American Physical Society