The method of loop molecules and the topology of the Kovalevskaya top

2000 ◽  
Vol 191 (2) ◽  
pp. 151-188 ◽  
Author(s):  
A V Bolsinov ◽  
P H Richter ◽  
A T Fomenko
Keyword(s):  
Kovalevskaya Top

scholarly journals Topological Atlas of the Kovalevskaya Top in a Double Field

2017 ◽  
Vol 223 (6) ◽  
pp. 775-809 ◽  
Author(s):  
M. P. Kharlamov ◽  
P. E. Ryabov
Keyword(s):  
Kovalevskaya Top

About Stationary Movements of the Generalized Kovalevskaya Top and Their Stability

2019 ◽  
Vol 54 (1) ◽  
pp. 81-91
Author(s):  
V. D. Irtegov ◽  
T. N. Titorenko
Keyword(s):  
Kovalevskaya Top

A generalization of the Kovalevskaya top

1987 ◽  
Vol 123 (1) ◽  
pp. 14-15 ◽  
Author(s):  
I.V. Komarov
Keyword(s):  
Kovalevskaya Top

scholarly journals Different approaches to Kovalevskaya top

2008 ◽  
Vol 35 (4) ◽  
pp. 347-361 ◽  
Author(s):  
Katarina Kukic
Keyword(s):  
Fixed Point ◽  
Rigid Body ◽  
Equations Of Motion ◽  
Integration Procedure ◽  
Kovalevskaya Top

In this paper we study the equations of motion of a rigid body around a fixed point in the case of Kovalevskaya. We give interpretation of the 'mysterious substitution of variables' in Sofia Kovalevskaya's paper. The present paper also connects integration procedure proposed by Golubov with the original equations obtained by S. Kovalevskaya.

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