35 citations · 125 across the 29 of their papers we have counts for
15 papers · 1 filter
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 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…
Computation of Normal Forms for Systems with Many Parameters
Tatjana Petek, Valery G. Romanovski
There are two ways to compute Poincaré-Dulac normal forms of systems of ODEs. Under the original approach used by Poincaré the normalizing transformation is explicitly computed. On…