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math-ph2001★ 2 cited
Diophantine equations related to quasicrystals: a note
E. Pelantová, A. M. Perelomov
We give the general solution of three Diophantine equations in the ring of integer of the algebraic number field ${\bf Q}[{\sqr 5}]$. These equations are related to the problem of…
math-ph2001★ 1 cited
Kovalevskaya top -- an elementary approach
A. M. Perelomov
The goal of this note is to give an elementary and very short solution to equations of motion for the Kovalevskaya top. For this we use some results from original papers by Kovalev…
math-ph2001
Lax representation for the systems of S.Kowalevskaya type
A. M. Perelomov
We descibe a number of dynamical systems that are generalizations of S. Kowalevskaya system and admit the Lax representation.