Abstract
The article presents the results of the theoretical investigation of the movement of a system of three coaxial vortex rings in an ideal liquid. It is shown that when the rings interact with each other, the process may become randomized in time. The conditions of ordered and random movement of three vortex rings are determined. The article presents the paths and Poincaré mappings for a number of characteristic situations.
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Additional information
Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 100–104, 1990.
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Meleshko, V.V., Konstantinov, M.Y. & Gurzhii, A.A. Ordered and random movement in the dynamics of three coaxial vortex rings. J Math Sci 68, 711–714 (1994). https://doi.org/10.1007/BF01249412
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DOI: https://doi.org/10.1007/BF01249412