Two-Dimensional Simulation of Spatial-Temporal Behaviors About Period Doubling Bifurcation in an Atmospheric-Pressure Dielectric Barrier Discharge

As a spatially extended dissipated system,atmospheric-pressure dielectric barrier discharges(DBDs) could in principle possess complex nonlinear behaviors. In order to improve the stability and uniformity of atmospheric-pressure dielectric barrier discharges,studies on temporal behaviors and radial structure of discharges with strong nonlinear behaviors under different controlling parameters are much desirable. In this paper,a two-dimensional fluid model is developed to simulate the radial discharge structure of period-doubling bifurcation,chaos,and inverse period-doubling bifurcation in an atmospheric-pressure DBD. The results show that the period-2n(n = 1,2...) and chaotic discharges exhibit nonuniform discharge structure. In period-2n or chaos,not only the shape of current pulses doesn’t remains exactly the same from one cycle to another,but also the radial structures,such as discharge spatial evolution process and the strongest breakdown region,are different in each neighboring discharge event. Current-voltage characteristics of the discharge system are studied for further understanding of the radial structure.