24 citations · 49 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Volume-preserving normal forms of Hopf-zero singularity
Majid Gazor, Fahimeh Mokhtari
A practical method is described for computing the unique generator of the algebra of first integrals associated with a large class of Hopf-zero singularity. The set of all volume-p…
Normal forms for Hopf-Zero singularities with nonconservative nonlinear part
Majid Gazor, Fahimeh Mokhtari, Jan A. Sanders
In this paper we are concerned with the simplest normal form computation of a family of Hopf-zero vector fields without a first integral. This family of vector fields are the class…