2 papers
nlin.SI2025
On the behavior of orbits of Vanhaecke system on integral surfaces
Wang Shiwei, M. D. Malykh, L. A. Sevastianov +1
In the 1990s, P. Vanhecke described a Hamiltonian system with two degrees of freedom and a polynomial Hamiltonian integrable in Abelian functions of two variables. This system prov…
math.AG2021
On the computation of fundamental functions and Abelian differentials of the third kind
Yu Ying, E. A. Ayryan, M. D. Malykh +1
We consider the construction of the fundamental function and Abelian differentials of the third kind on a plane algebraic curve over the field of complex numbers that has no singul…