8 citations · 22 across the 6 of their papers we have counts for
6 papers
Janet Bases of Toric Ideals
Vladimir P. Gerdt, Yuri A. Blinkov
In this paper we present a version of the general polynomial involutive algorithm for computing Janet bases specialized to toric ideals. The relevant data structures are Janet tree…
On application of involutivity analysis of differential equations to constrained dynamical systems
Vladimir Gerdt, Arsen Khvedelidze, Dimitar Mladenov
A brief sketch of computer methods of involutivity analysis of differential equations is presented in context of its application to study degenerate Lagrangian systems. We exemplif…
On Exact Solvability of Anharmonic Oscillators in Large Dimensions
Vladimir Gerdt, Denis Yanovich, Miloslav Znojil
General Schrödinger equation is considered with a central polynomial potential depending on arbitrary coupling constants. Its exceptional solutions of the so called Magyari ty…
New exact solutions for polynomial oscillators in large dimensions
Miloslav Znojil, Denis Yanovich, Vladimir P. Gerdt
A new type of exact solvability is reported. We study the general central polynomial potentials (with 2q anharmonic terms) which satisfy the Magyari's partial exact solvability con…
Light-cone SU(2) Yang-Mills theory and conformal mechanics
V. P. Gerdt, A. M. Khvedelidze, D. M. Mladenov
We examine the mechanical matrix model that can be derived from the SU(2) Yang-Mills light-cone field theory by restricting the gauge fields to depend on the light-cone time alone.…
Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics
V. P. Gerdt, A. M. Khvedelidze, D. M. Mladenov
We study the classical dynamics of mechanical model obtained from the light-cone version of SU(2) Yang-Mills field theory under the supposition of gauge potential dependence only o…