Klenov, Anatolii I.; Kilin, Alexander A. Influence of vortex structures on the controlled motion of an above-water screwless robot. (English) Zbl 1369.70016 Regul. Chaotic Dyn. 21, No. 7-8, 927-938 (2016). MSC: 70E60 76B47 PDFBibTeX XMLCite \textit{A. I. Klenov} and \textit{A. A. Kilin}, Regul. Chaotic Dyn. 21, No. 7--8, 927--938 (2016; Zbl 1369.70016) Full Text: DOI
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. The dynamics of vortex rings: leapfrogging, choreographies and the stability problem. (English) Zbl 1273.76067 Regul. Chaotic Dyn. 18, No. 1-2, 33-62 (2013). MSC: 76B47 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Regul. Chaotic Dyn. 18, No. 1--2, 33--62 (2013; Zbl 1273.76067) Full Text: DOI
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. A new integrable problem of motion of point vortices on the sphere. (English) Zbl 1207.76030 Borisov, Alexey V. (ed.) et al., IUTAM symposium on Hamiltonian dynamics, vortex structures, turbulence. Proceedings of the IUTAM symposium held in Moscow, Russia, 25–30 August, 2006. Dordrecht: Springer (ISBN 978-1-4020-6743-3/hbk). IUTAM Bookseries 6, 39-53 (2008). MSC: 76B47 70H06 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., IUTAM Bookser. 6, 39--53 (2008; Zbl 1207.76030) Full Text: DOI
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S. Transition to chaos in dynamics of four point vortices on a plane. (English. Russian original) Zbl 1206.76010 Dokl. Phys. 51, No. 5, 262-267 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 408, No. 1, 49-54 (2006). MSC: 76B47 37D45 37J20 37N10 76F20 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Dokl. Phys. 51, No. 5, 262--267 (2006; Zbl 1206.76010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 408, No. 1, 49--54 (2006) Full Text: DOI
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. New periodic solutions for three or four identical vortices on a plane and a sphere. (English) Zbl 1144.37459 Discrete Contin. Dyn. Syst. 2005, Suppl., 110-120 (2005). MSC: 37N10 76B47 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Discrete Contin. Dyn. Syst. 2005, 110--120 (2005; Zbl 1144.37459) Full Text: arXiv
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S. Reduction and chaotic behavior of point vortices on a plane and a sphere. (English) Zbl 1144.37458 Discrete Contin. Dyn. Syst. 2005, Suppl., 100-109 (2005). MSC: 37N10 76B47 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Discrete Contin. Dyn. Syst. 2005, 100--109 (2005; Zbl 1144.37458) Full Text: arXiv