1. Modeling, adapted mathematical framework

Typical ferroresonance equations can be found in many physical phenomena, such as meteorology (Edward Lorentz in 1963), Rayleigh-Benard thermal convection and the stability of the solar system (Jacques Laskar). Their resolution has aroused the curiosity of many mathematicians [39][40][41] .

Poincaré laid the foundations for this in 1905, when he studied non-integrable systems, such as several bodies in gravitational interaction, for which no time solution of the form f (t ) can be found; note in passing that the description on a plane of the evolution of non-linear systems is called a "Poincaré cut" (cf. §...