Integrable potentials with logarithmic integrals of motion
- 21 September 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (18) , 3537-3546
- https://doi.org/10.1088/0305-4470/21/18/010
Abstract
In this paper several examples of integrable potentials with a second invariant which contains a logarithmic part in the velocities are given. In most cases the potential depends on the velocities. There is, however, a case where the potential is velocity independent.Keywords
This publication has 5 references indexed in Scilit:
- Existence and construction of dynamical systems having a prescribed integral of motion-an inverse problemInverse Problems, 1987
- Integrable Hamiltonian systems with velocity-dependent potentialsJournal of Mathematical Physics, 1985
- New Integrable Hamiltonians with Transcendental InvariantsPhysical Review Letters, 1984
- The complete Whittaker theorem for two-dimensional integrable systems and its applicationJournal of Physics A: General Physics, 1983
- A new class of integrable systemsJournal of Mathematical Physics, 1983