1 citations · 3 across the 9 of their papers we have counts for
10 papers
Non-integrability of the Sasano system of type
Tsvetana Stoyanova
The Sasano sytem of type is a four-dimensional non-linear system of ordinary differential equations, which has an affine Weyl group of symmetries of type . I…
Non-integrability of the rational Sasano system of type
Tsvetana Stoyanova
In this paper we study the integrability of the Sasano system of type from the point of view of the Hamiltonian dynamics. We prove rigorously that for these values of t…
Non-Integrability of the Sasano System of Type and Stokes Phenomena
Tsvetana Stoyanova
In 2006, Y. Sasano proposed higher-order Painlevé systems, which admit affine Weyl group symmetry of type , . In this paper, we study the integrability…
Non-integrability of the Painlevé IV equation in the Liouville-Arnold sense and Stokes phenomena
Tsvetana Stoyanova
In this paper we study the integrability of the Hamiltonian system associated to the fourth Painlevé equation. We prove that one two parametric family of this Hamiltonian system is…
The reducible double confluent Heun equation and a general symmetric unfolding of the origin
Tsvetana Stoyanova
The reducible double confluent Heun equation (DCHE) is the only DCHE whose general symmetric unfolding leads to a Fuchsian equation. Contrary to general Heun equation the unfolded…
Stokes matrices of a reducible equation with two irregular singularities of Poincaré rank 1 via monodromy matrices of a reducible Heun type equation
Tsvetana Stoyanova
We consider a second order reducible equation having non-resonant irregular singularities at and . Both of them are of Poincaré rank 1. We introduce a small complex…