101 citations · 319 across the 20 of their papers we have counts for
23 papers
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…
On the vanishing of discrete singular cubical homology for graphs
Helene Barcelo, Curtis Greene, Abdul Salam Jarrah +1
We prove that if G is a graph without 3-cycles and 4-cycles, then the discrete cubical homology of G is trivial in dimension d, for all d\ge 2. We also construct a sequence { G_d }…
Homology groups of cubical sets with connections
Helene Barcelo, Curtis Greene, Abdul Salam Jarrah +1
Toward defining commutative cubes in all dimensions, Brown and Spencer introduced the notion of "connection" as a new kind of degeneracy. In this paper, for a cubical set with conn…
Discrete Cubical and Path Homologies of Graphs
Helene Barcelo, Curtis Greene, Abdul Salam Jarrah +1
In this paper we study and compare two homology theories for (simple and undirected) graphs. The first, which was developed by Barcelo, Caprano, and White, is based on graph maps f…
Inferring Biologically Relevant Models: Nested Canalyzing Functions
Franziska Hinkelmann, Abdul Salam Jarrah
Inferring dynamic biochemical networks is one of the main challenges in systems biology. Given experimental data, the objective is to identify the rules of interaction among the di…