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Reduction and chaotic behavior of point vortices on a plane and a sphere
| Content Provider | Semantic Scholar |
|---|---|
| Author | Borisov, Alexey V. Kilin, Alexander A. Mamaev, Ivan |
| Copyright Year | 2005 |
| Abstract | We offer a new method of reduction for a system of point vortices on a plane and a sphere. This method is similar to the classical node elimination procedure. However, as applied to the vortex dynamics, it requires substantial modification. Reduction of four vortices on a sphere is given in more detail. We also use the Poincare surface-of-section technique to perform the reduction a four-vortex system on a sphere. |
| Starting Page | 233 |
| Ending Page | 246 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| DOI | 10.20537/nd0502006 |
| Volume Number | 1 |
| Alternate Webpage(s) | http://arxiv.org/pdf/nlin/0507057v1.pdf |
| Alternate Webpage(s) | http://ics.org.ru/upload/iblock/2e9/32.pdf |
| Alternate Webpage(s) | https://doi.org/10.20537/nd0502006 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |