102 citations · 509 across the 28 of their papers we have counts for
14 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…
The singing arc: the oldest memristor?
Jean-Marc Ginoux, Bruno Rossetto
On April 30th 2008, the journal Nature announced that the missing circuit element, postulated thirty-seven years before by Professor Leon O. Chua has been found. Thus, after the ca…
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…
Poincare's forgotten conferences on wireless telegraphy
Jean-Marc Ginoux, Loic Petitgirard
At the beginning of the twentieth century while Henri Poincaré (1854-1912) was already deeply involved in the developments of wireless telegraphy, he was invited, in 1908, to give…
Van der Pol and the history of relaxation oscillations: toward the emergence of a concept
Jean-Marc Ginoux, Christophe Letellier
Relaxation oscillations are commonly associated with the name of Balthazar van der Pol via his eponymous paper (Philosophical Magazine, 1926) in which he apparently introduced this…