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References
|
|
| |
| 1. |
Bogomolov V. A., “Dinamika zavikhrennosti na sfere”, Izv. AN. SSSR. Mekh. zhid. i gaza, 1977, no. 6, 57–65 |
| 2. |
Borisov A. V., Mamaev I. S., “Matematicheskie metody dinamiki vikhrevykh struktur”, V sb. Fundamentalnye i prikladnye problemy teorii vikhrei, eds. Borisov A. V., Mamaev I. S., Sokolovskii M. A., NITs RKhD, 2003, 704 pp. |
| 3. |
Borisov A. V., Mamaev I. S., Puassonovy struktury i algebry Li v gamiltonovoi mekhanike, Izd. dom. “Udmurtskii universitet”, Izhevsk, 1999, 464 pp. |
| 4. |
Ziglin S. L., “Neintegriruemost zadachi o dvizhenie chetyrekh tochechnykh vikhrei”, DAN SSSR, 250:6 (1979), 1296–1300 |
| 5. |
Kozlov V. V., Simmetrii, topologiya i rezonansy v gamiltonovoi mekhanike, Izd-vo UdGU, Izhevsk, 1995 |
| 6. |
Uintner A., Analiticheskie osnovy nebesnoi mekhaniki, Nauka, M., 1967 |
| 7. |
Sharle K. L., Nebesnaya mekhanika, Nauka, M., 1966, 627 pp. |
| 8. |
Aref H., Pomphrey N., “Integrable and chaotic motions of four vortices. I. The case of identical vortices”, Proc. R. Soc. London A, 380 (1982), 359–387 |
| 9. |
Bolsinov A. V., Borisov A. V., Mamaev I. S., “Lie algebras in vortex dynamics and celestial mechanics IV”, Reg. & Chaot. Dyn., 4:1 (1999), 23–50 |
| 10. |
Eckhardt B., “Integrable four vortex motion”, Phys. Fluids, 31:10 (1988), 2796–2801 |
| 11. |
Khanin K. M., “Quasi-periodic motions of vortex systems”, Physica D, 4 (1982), 261–269 |
| 12. |
Lim C. C., “A combinatorical perturbation method and Arnold's wiskered tori in vortex dynamics”, Physica D, 64 (1993), 163–184 |
| 13. |
Lim C. C., “Graph theory and special class of symplectic transformations: the generalized Jacobi variables”, J. Math. Phys., 32:1 (1991), 1–7 |
| 14. |
Newton P. K., The $N$-Vortex problem. Analytical Techniques, Springer, 2001 |