16 citations · 59 across the 17 of their papers we have counts for
21 papers
The Lie algebraic structure of colored networks
Fahimeh Mokhtari, Jan Sanders
In the computation of the normal form of a colored network vector field, following the semigroup(oid) approach in [19], one would like to be able to say something about the structu…
Normal form for maps with nilpotent linear part
Fahimeh Mokhtari, Ernst Roell, Jan Sanders
The normal form for an n-dimensional map with irreducible nilpotent linear part is determined using sl2-representation theory. We sketch by example how the reducible case can also…
Equivariant decomposition of polynomial vector fields
Fahimeh Mokhtari, Jan A. Sanders
To compute the unique formal normal form of families of vector fields with nilpotent linear part, we choose a basis of the Lie algebra consisting of orbits under the linear nilpote…
Versal Normal Form for Nonsemisimple Singularities
Fahimeh Mokhtari, Jan. A Sanders
The theory of versal normal form has been playing a role in normal form since the introduction of the concept by V.I. Arnol'd. But there has been no systematic use of it that is in…
Vector potential normal form classification for completely integrable solenoidal nilpotent singularities
Majid Gazor, Fahimeh Mokhtari, Jan A. Sanders
We introduce a sl_2-invariant family of nonlinear vector fields with a non-semisimple triple zero singularity. In this paper we are concerned with characterization and normal form…
Projection blocks in homogeneous coupled cell networks
Eddie Nijholt, Bob Rink, Jan Sanders
We introduce a special subset of the graph of a homogeneous coupled cell network, called a projection block, and show that the network obtained from identifying this block to a sin…