3 papers
math.DS2026
Lumping of reaction networks: Generic and critical parameters
Justin Eilertsen, Valery G. Romanovski, Santiago Schnell +1
We investigate linear lumping for parameter-dependent mass action reaction networks, distinguishing between generic and critical parameter regimes. For generic parameters -- those…
math.DS2025
Poincarè-Dulac Normal Forms: Formal and Analytic Aspects
Valery G. Romanovski, Sebastian Walcher
We discuss various aspects concerning transformations of local analytic, or formal, vector fields to Poincarè-Dulac normal form, and the convergence of such transformations. After…
nlin.SI2024
Integrability of polynomial vector fields and a dual problem
Tatjana Petek, Valery Romanovski
We investigate the integrability of polynomial vector fields through the lens of duality in parameter spaces. We examine formal power series solutions annihilated by differential o…