Transition to chaos in dynamics of four point vortices on a plane-Reference-Cited by-同舟云学术

Transition to chaos in dynamics of four point vortices on a plane

Published:2006-05 Issue:5 Volume:51 Page:262-267
ISSN:1028-3358
Container-title:Doklady Physics
language:en
Short-container-title:Dokl. Phys.

Author:

Borisov A. V.,Kilin A. A.,Mamaev I. S.

Publisher

Pleiades Publishing Ltd

Subject

General Physics and Astronomy,Mechanics of Materials,Computational Mechanics

Link

http://link.springer.com/content/pdf/10.1134/S1028335806050089.pdf

Reference13 articles.

1. A. V. Borisov and I. S. Mamaev, Fundamental and Applied Problems in the Theory of Vortices (IKI, Izhevsk, 2003) [in Russian].

2. D. N. Goryachev, On Some Cases of the Motion of Rectilinear Parallel Vortices (Univ. Tip., Moscow, 1898) [in Russian].

3. K. Zigel’, Yu. V. Mozer, and Yu. Mozer, KAM-Theory and Problems of Stability (NITs RKhD, Izhevsk, 2001), p. 141 [in Russian]; J. Moser, Lectures on Hamiltonian Systems (American Mathematical Society, Providence, R.I., 1968; Mir, Moscow, 1973).

4. S. L. Ziglin, Dokl. Akad. Nauk SSSR 250, 1296 (1980) [Sov. Math. Dokl. 21, 296 (1979)].

5. V. V. Kozlov, Symmetry, Topology and Resonances in Hamiltonian Mechanics (Udmurt. Univ., Izhevsk, 1995) [in Russian].

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