5 papers · 1 filter
A physical memristor based Muthuswamy-Chua-Ginoux system
Jean-Marc Ginoux, Bharathwaj Muthuswamy, Riccardo Meucci +3
In 1976, Leon Chua showed that a thermistor can be modeled as a memristive device. Starting from this statement we designed a circuit that has four circuit elements: a linear passi…
Generalized Liénard systems, singularly perturbed systems, Flow Curvature Method
Jean-Marc Ginoux, Dirk Lebiedz, Jaume Llibre
In his famous book entitled \textit{Theory of Oscillations}, Nicolas Minorsky wrote: "\textit{each time the system absorbs energy the curvature of its trajectory decreases} and \te…
Chaos in a predator-prey-based mathematical model for illicit drug consumption
Jean-Marc Ginoux, Roomila Naeck, Yusra Bibi Ruhomally +2
Recently, a mathematical model describing the illicit drug consumption in a population consisting of drug users and non-users has been proposed. The model describes the dynamics of…
Canards Existence in Memristor's Circuits
Jean-Marc Ginoux, Jaume Llibre
The aim of this work is to propose an alternative method for determining the condition of existence of "canard solutions" for three and four-dimensional singularly perturbed system…
The Slow Invariant Manifold of the Lorenz--Krishnamurthy Model
Jean-Marc Ginoux
During this last decades, several attempts to construct slow invariant manifold of the Lorenz-Krishnamurthy five-mode model of slow-fast interactions in the atmosphere have been ma…