Torus Breakdown and Homoclinic Chaos in a Glow Discharge Tube

Year: 2017

Authors: Ginoux JM., Meucci R., Euzzor S.

Autors Affiliation: [Ginoux, Jean-Marc] UMR CNRS 7296, Lab Sci Informat & Syst, CS 60584, F-83041 Toulon 9, France.
[Meucci, Riccardo; Euzzor, Stefano] CNR, Ist Nazl Ott, Largo E Fermi 6, I-50125 Florence, Italy.

Abstract: 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 bifurcation routes from torus breakdown to homoclinic chaos following the Newhouse-RuelleTakens scenario.

Journal/Review: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Volume: 27 (14)      Pages from: 1750220-1  to: 1750220-12

KeyWords: Current voltage characteristics; Dynamical systems; Glow discharges, Autonomous dynamical systems; DC glow discharge; Historical research; Homoclinic chaos; Low pressure plasma; Mathematical analysis; Numerical investigations; Torus breakdown, Gas discharge tubes
DOI: 10.1142/S0218127417502200

Citations: 6
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