57 citations · 109 across the 5 of their papers we have counts for
4 papers · 1 filter
Slow invariant manifold of heartbeat model
Jean-Marc Ginoux, Bruno Rossetto
A new approach called Flow Curvature Method has been recently developed in a book entitled Differential Geometry Applied to Dynamical Systems. It consists in considering the trajec…
Slow Manifold of a Neuronal Bursting Model
Jean-Marc Ginoux, Bruno Rossetto
Comparing neuronal bursting models (NBM) with slow-fast autonomous dynamical systems (S-FADS), it appears that the specific features of a (NBM) do not allow a determination of the…
Slow invariant manifolds as curvature of the flow of dynamical systems
Jean-Marc Ginoux, Bruno Rossetto, Leon Chua
Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in…
Differential Geometry and Mechanics Applications to Chaotic Dynamical Systems
Jean-Marc Ginoux, Bruno Rossetto
The aim of this article is to highlight the interest to apply Differential Geometry and Mechanics concepts to chaotic dynamical systems study. Thus, the local metric properties of…