| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1898613 | Physica D: Nonlinear Phenomena | 2012 | 10 Pages |
Abstract
⺠The behavior of geodesics on surfaces defined by spherical harmonics is studied. ⺠The non-integrability of the geodesic equations is rigorously proved using differential Galois theory. ⺠Morales-Ramis theory and Kovacic's algorithm is used and the normal variational equation is of Fuchsian type. ⺠Poincaré sections are used to display the breakdown in integrability.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Thomas J. Waters,