3 citations · 3 across the 3 of their papers we have counts for
5 papers
Nilpotent Feed Forward Network Dynamics
Fahimeh Mokhtari
In this paper, we explore the normal form of fully inhomogeneous feed forward network dynamical systems, characterized by a nilpotent linear component. We introduce a new normal fo…
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…
On the representations and -equivariant normal form for solenoidal Hopf-zero singularities
Fahimeh Mokhtari
In this paper, we deal with the solenoidal conservative Lie algebra associated to the classical normal form of Hopf-zero singular system. We concentrate on the study of some repres…
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…