Stability of Thomson's configurations of vortices on a sphere

Regular and Chaotic Dynamics

Volumn 5, Issue 2, 2000, Pages 189-200

  Borisov, A V ^a   Kilin, A A ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b UDMURT STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012895109     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/RD2000v005n02ABEH000141     Document Type: Article

References (8)

1. V. A. Bogomolov. Dynamics of a Vorticity on a Sphere. Izv. Akad. Nauk SSSR, Mechanics of a Fluid and Gas, 1977, No 6, P. 57-65.
2. J. J. Thomson. A Treatise on the Motion of Vortex Rings. London, MacMillan, 1883, P. 124.
3. H. Aref. On the Equilibrium and Stability of a Row of Point Vortices. J. Fluid Mech. 1995, V. 290, P. 167-181.
4. L. G. Khazin. Regular Polygons of Point Vortices and Resonance Instability of Stationary States. Dokl. Akad. Nauk USSR, V. 230, 1976, No 4, P. 799-802.
5. A. V. Borisov, V. G. Lebedev. Dynamics of Three Vortices on a Plane and a Sphere - II. Regular and Chaotic Dynamics, V. 3, 1998, No 2.
6. A. V. Borisov, I. S. Mamaev. Poisson Structures and Lie Algebras in Hamiltonian Mechanics. Izhevsk, editorial office of "Regular and Chaotic Dynamics", 1999, P. 464.
7. V. V. Kozlov, S. D. Furta. Asymplotics of Solutions of Strongly Nonlinear Systems of Differential Equations. M., Izd". MGU, 1996.
8. A. P. Markeev. The Libration Points in Celestial Mechanics and Cosmic Dynamics. M., Nauka, 1978.