119 citations · 269 across the 38 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
cs.SC2025
Support bound for differential elimination in polynomial dynamical systems
Yulia Mukhina, Gleb Pogudin
We study an important special case of the differential elimination problem: given a polynomial parametric dynamical system and…
cs.SC2025
Discovering Polynomial and Quadratic Structure in Nonlinear Ordinary Differential Equations
Boris Kramer, Gleb Pogudin
Dynamical systems with quadratic or polynomial drift exhibit complex dynamics, yet compared to nonlinear systems in general form, are often easier to analyze, simulate, control, an…
cs.SC2025★ 1 cited
Projecting dynamical systems via a support bound
Yulia Mukhina, Gleb Pogudin
For a polynomial dynamical system, we study the problem of computing the minimal differential equation satisfied by a chosen coordinate (in other words, projecting the system on th…