57 citations · 101 across the 9 of their papers we have counts for
9 papers
Self-Excited Oscilations : from Poincaré to Andronov
Jean-Marc Ginoux
In 1908 Henri Poincaré gave a series of 'forgotten lectures' on wireless telegraphy in which he demonstrated the existence of a stable limit cycle in the phase plane. In 1929 Aleks…
Henri Poincaré et l'émergence du concept de cycle limite
Jean-Marc Ginoux
The concept of "limit cycle" was introduced by Henri Poincaré in his second memoir "On curves defined by a differential equation" in 1882. From the point of view of physics, a stab…
Blondel et les oscillations auto-entretenues
Jean-Marc Ginoux, René Lozi
In 1893, the "physicist-engineer" André Blondel invents the oscilloscope for displaying voltage and current variables. With this powerful means of investigation, he first studies t…
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…