Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1863469 | Physics Letters A | 2007 | 8 Pages |
Abstract
We consider natural Hamiltonian systems of n>1 degrees of freedom with polynomial homogeneous potentials of degree k. We show that under a genericity assumption, for a fixed k, at most only a finite number of such systems is integrable. We also explain how to find explicit forms of these integrable potentials for small k.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Maria Przybylska,