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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2011 Volume 7, Number 1, Pages 25–51 (Mi nd207)

This article is cited in 4 papers

Topological analysis and Boolean functions: II. Application to new algebraic solutions

M. P. Kharlamov

Volgograd Academy of Public Administration

Abstract: This work continues the author's article in <i>Rus. J. Nonlinear Dynamics</i> (2010, vol. 6, no. 4) and contains applications of the Boolean functions method to investigation of the admissible regions and the phase topology of three algebraically solvable systems in the problem of motion of the Kowalevski top in the double force field.

Keywords: algebraic separation of variables; integral manifolds; Boolean functions; topological analysis.

UDC: 514.853; 517.938.5; 531.38

MSC: 70E17, 70G40

Received: 06.08.2011
Revised: 20.03.2011



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