Discriminantly Separable Polynomials and Their Applications

2015 ◽  
pp. 49-58
Author(s):  
Vladimir Dragović ◽  
Katarina Kukić
Keyword(s):  
Discriminantly Separable Polynomials

scholarly journals Discriminantly separable polynomials and quad-equations

2014 ◽  
Vol 6 (3) ◽  
pp. 319-333 ◽  
Author(s):  
Vladimir Dragović ◽  
◽  
Katarina Kukić ◽  
Keyword(s):  
Discriminantly Separable Polynomials

scholarly journals Systems of Kowalevski type and discriminantly separable polynomials

2014 ◽  
Vol 19 (2) ◽  
pp. 162-184 ◽  
Author(s):  
Vladimir Dragović ◽  
Katarina Kukić
Keyword(s):  
Discriminantly Separable Polynomials

scholarly journals Discriminantly separable polynomials and the generalized Kowalevski top

2017 ◽  
Vol 44 (2) ◽  
pp. 229-236 ◽  
Author(s):  
Vladimir Dragovic ◽  
Katarina Kukic
Keyword(s):  
Fixed Point ◽  
Dynamical Systems ◽  
Rigid Body ◽  
Constant Field ◽  
Explicit Integration ◽  
Heavy Rigid Body ◽  
Discriminantly Separable Polynomials ◽  
Integrable Dynamical Systems ◽  
Kowalevski Top

The notion of discriminantly separable polynomials of degree two in each of three variables has been recently introduced and related to a class of integrable dynamical systems. Explicit integration of such systems can be performed in a way similar to Kowalevski?s original integration of the Kowalevski top. Here we present the role of discriminantly separable polynomials in integration of yet another well known integrable system, the so-called generalized Kowalevski top - the motion of a heavy rigid body about a fixed point in a double constant field. We present a novel way to obtain the separation variables for this system, based on the discriminantly separable polynomials.

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