102 citations · 509 across the 28 of their papers we have counts for
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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…
Flow Curvature Method applied to Canard Explosion
Jean-Marc Ginoux, Jaume Llibre
The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation M…
Topological analysis of chaotic solution of three-element memristive circuit
Jean-Marc Ginoux, Christophe Letellier, Leon L. O. Chua
The simplest electronic circuit with a memristor was recently proposed. Chaotic attractors solution to this memristive circuit are topologically characterized and compared to Rossl…
Flow curvature manifolds for shaping chaotic attractors: Rossler-like systems
Jean-Marc Ginoux, Christophe Letellier
Poincaré recognized that phase portraits are mainly structured around fixed points. Nevertheless, the knowledge of fixed points and their properties is not sufficient to determine…
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…