57 citations · 101 across the 9 of their papers we have counts for
6 papers · 1 filter
Canards from Chua's circuit
Jean-Marc Ginoux, Jaume Llibre, Leon L. O. Chua
The aim of this work is to extend Benoît's theorem for the generic existence of "canards" solutions in singularly perturbed dynamical systems of dimension three with one fast varia…
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…
Invariant Manifolds of Complex Systems
Jean-Marc Ginoux, Bruno Rossetto
The aim of this work is to establish the existence of invariant manifolds in complex systems. Considering trajectory curves integral of multiple time scales dynamical systems of di…
Animated phase portraits of nonlinear and chaotic dynamical systems
Jean-Marc Ginoux
The aim of this section is to present programs allowing to high- light the slow-fast evolution of the solutions of nonlinear and chaotic dynamical systems such as: Van der Pol, Chu…
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…
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…