A new model for complex dynamics in a dc glow discharge tube
The journal version of this paper is published in Cybernetics And Physics, Vol.4, Is.2, 2015
Eugenio Pugliese, Stefano Euzzor, Joana G. Freire, Jason A. C. Gallas, Riccardo Meucci
Based on a detailed experimental characterization of the complex dynamics of a Na discharge tube, a new model governed by four differential equations is proposed. Such a model takes into account the competition between a nonlinear relaxation oscillator related with external electronic features and a forced harmonic oscillator accounting for the plasma eigenfrequency. From their interaction the quasi periodicity route to chaos emerges as confirmed by the experimental observations.
The stability diagrams for periodic oscillations of arbitrary period in the control parameter space of the discharge are computed using the isospike technique and compared with the Lyapunov exponents. Such diagrams show self-pulsations to emerge remarkably organized into intricate mosaics of stability phases with extended regions of multistabilty.
The chaotic synchronization between two discharge tubes will be also presented.
E. Pugliese, R.Meucci, S. Euzzor, Joana G.Freire and J.A. C. Gallas, Nature, Sci Rep. 2015; 5, 8447.