35 citations · 125 across the 29 of their papers we have counts for
30 papers
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…
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…
First integrals and invariants of systems of ODEs
Mateja Grašič, Abdul Salam Jarrah, Valery G. Romanovski
We investigate the interplay between monomial first integrals, polynomial invariants of certain group action, and the Poincaré-Dulac normal forms for autonomous systems of ODEs wit…
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…
Integrability and Linearizability of a Family of Three-Dimensional Polynomial Systems
Bo Huang, Ivan Mastev, Valery Romanovski
We investigate the local integrability and linearizability of a family of three-dimensional polynomial systems with the matrix of the linear approximation having the eigenvalues $1…
Invariants and reversibility in polynomial systems of ODEs
Mateja Grašič, Abdul Salam Jarrah, Valery G. Romanovski
This paper explores a relationship between invariants of certain group actions and the time-reversibility of two-dimensional polynomial differential systems exhibiting a res…