Nonlinear interaction of homogeneously oscillating domains in a planar gas discharge system

Abstract

A planar dc gas discharge system with a high Ohmic semiconductor cathode is investigated with respect to temporal destabilization of the stationary homogeneous state. A subcritical Hopf bifurcation is observed, leading to a spatial homogeneous oscillation. The dependence of the oscillator's properties on control parameters is investigated. By applying spatial nonuniform optical control of the semiconductor cathode, several domains that may oscillate on different frequencies can be created. These spatially homogeneous domains can interact with each other through common boundaries. By adjusting the strength of coupling of the domains, their interaction can be controlled. In this interaction, regularities have been found that are, in some aspects, similar to those observed in externally driven nonlinear oscillators.

Period doubling cascade in glow discharges: Local versus global differential conductivity

“…We then solve a simple explicit model for the gas discharge layer and confront the results with those of reaction-diffusion models. The analysis is performed in a parameter range where the discharge exhibits spontaneous temporal oscillations but no spatial structures transverse to the current [9]. This means that the diffusion part of the model is not relevant, but, of course, our findings generalize to cases with spatial structure.…”

“…We will focus on the experiment in Ref. [9], where a complete phase diagram of different patterns was identified: homogeneous stationary and homogeneous oscillating modes, patterns with spatial and spatiotemporal structures, etc.…”

“…In comparison to the other systems, the glow discharge system has the advantage of particular convenient experimental handling and time scales [14]. In addition to structures familiar from other physical systems, glow discharges continue to exhibit new structures that might be specific for this system [2][3][4][5][6][7][8][9][10][11][12][13]. We will focus on the experiment in Ref.…”

“…An interesting series of experiments has been performed on such glow discharges with wide lateral extension [2][3][4][5][6][7][8][9][10][11][12][13] where the formed patterns were explored very systematically. The observed structures (stripes, hexagons, spirals, spots, homogeneous oscillations, etc.)…”

Period multiplication and chaotic phenomena in atmospheric dielectric-barrier glow discharges

“…10 Yet, there is at present a distinct lack of reported studies and so understanding of complex temporal behaviors and temporal nonlinearity in APGD, even though period multiplication and chaos have been observed in low-pressure discharge plasmas. [11][12][13][14] A basic understanding of timedomain APGD nonlinearity is highly desirable, not only to complement the current understanding of spatial APGD nonlinearity but also to develop a basis from which to explore strategies for controlling APGD instabilities. In this letter, we report observations of complex dynamic behaviors in atmospheric dielectric-barrier discharges ͑DBDs͒ including periodic multiplication and chaos.…”