101 citations · 319 across the 20 of their papers we have counts for
5 papers · 1 filter
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…
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…
Monomial Dynamical Systems over Finite Fields
O. Colón-Reyes, A. Jarrah, R. Laubenbacher +1
An important problem in the theory of finite dynamical systems is to link the structure of a system with its dynamics. This paper contains such a link for a family of nonlinear sys…
Classification of Finite Dynamical Systems
Luis Garcia, Abdul Salam Jarrah, Reinhard Laubenbacher
This paper is motivated by the theory of sequential dynamical systems, developed as a basis for a mathematical theory of computer simulation. It contains a classification of finite…
The Center Variety of Polynomial Differential Systems
Abdul Salam Jarrah, Reinhard Laubenbacher, Valery Romanovski
We investigate the symmetry component of the center variety of polynomial differential systems, corresponding to systems with an axis of symmetry in the real plane. We give a gener…