Centre de Physique Théorique

Agenda

Thursday 25 January 2018

14h00 – 15h00, CPT, Amphi 5

TORUS BREAKDOWN AND HOMOCLINIC CHAOS IN A GLOW DISCHARGE TUBE

Jean-Marc Ginoux (Université de Toulon)

Résumé

Starting from historical researches, we used, like Van der Pol and Le
Corbeiller, a cubic function for modeling the current-voltage characteristic
of a direct current low-pressure plasma discharge tube, i.e. a neon tube.
This led us to propose a new four-dimensional autonomous dynamical system
allowing to describe the experimentally observed phenomenon. Then,
mathematical analysis and detailed numerical investigations of such a
fourth-order torus circuit enabled to highlight bifurcations routes from
torus breakdown to homoclinic chaos following the Newhouse-Ruelle-Takens
scenario.

Keywords: dc glow discharge; torus breakdown; homoclinic chaos; route to
chaos.

Ce travail sera publié en janvier 2018 dans International Journal of
Bifurcation and Chaos.

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