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A New Integrable Problem of Motion of Point Vortices on The Sphere
| Content Provider | Semantic Scholar |
|---|---|
| Author | Borisov, Alexey V. Kilin, Alexander A. Mamaev, Ivan S. |
| Copyright Year | 2007 |
| Abstract | The dynamics of an antipodal vortex on a sphere (a point vortex plus its antipode with opposite circulation) is considered. It is shown that the system of n antipodal vortices can be reduced by four dimensions (two degrees of freedom). The cases n = 2, 3 are explored in greater detail both analytically and numerically. We discuss Thomson, collinear and isosceles configurations of antipodal vortices and study their bifurcations. |
| Starting Page | 39 |
| Ending Page | 53 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/978-1-4020-6744-0_4 |
| Volume Number | 3 |
| Alternate Webpage(s) | http://cds.cern.ch/record/1339116/files/978-1-4020-6744-0_BookTOC.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/978-1-4020-6744-0_4 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
