65 citations · 158 across the 9 of their papers we have counts for
9 papers
A note on geodesics on ellipsoid
A. M. Perelomov
It is shown that the Jacobi problem of geodesics on ellipsoid may be reduced to more simple one, namely to the special case of the Clebsch problem. The last one may be solved direc…
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…
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…
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.
The Z_2-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures
J. A. de Azcarraga, J. M. Izquierdo, A. M. Perelomov +1
The super or Z_2-graded Schouten-Nijenhuis bracket is introduced. Using it, new generalized super-Poisson structures are found which are given in terms of certain graded-skew-symme…
Generalized Poisson structures
J. A. de Azcarraga, A. M. Perelomov, J. C. Perez Bueno
New generalized Poisson structures are introduced by using skew-symmetric contravariant tensors of even order. The corresponding `Jacobi identities' are given by the vanishing of t…