Abstract
During the last six years a growing interest arose in the study of low frequency oscillations in plasma discharges and their transition to chaos. The first observation of a period-doubling route to chaos was reported nearly simultaneously from a helium glow discharge1 and from a filament cathode discharge at low pressure.2 In the helium glow experiment, moving striations were observed in a Plücker tube that cause periodic modulations of the discharge current. With increasing current the characteristic sequence of subharmonics at 1/2, 1/4, 1/8, and 1/16 of the natural frequency was observed, which ends up in an irregular, apparently chaotic state. More complex routes with mixtures of period doublings and quintuplings were also reported.1 The conditions in the filament cathode discharge are fundamentally different, because of its low pressure (p = 0.1 Pa), large dimension (d = 1.8 m), and mode of operation. In this experiment, the plasma is not self-oscillating but periodically pulsed, and period doubling and quadrupling is found when the pulse amplitude is increased. The obvious similarity of the dynamical behavior in so different discharge situations stimulated a number of more detailed investigations in this field. An intermittency route to chaos in a filament cathode discharge was reported for a periodically driven system.3 Self-oscillations in such discharges show period-doubling and intermittency4 as well as a quasiperiodic5 route to chaos. A low correlation dimension was found for this kind of undriven chaos.6
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Piel, A., Greiner, F., Klinger, T., Klostermann, H., Rohde, A. (1994). Chaos in Plasmas: A Case Study in Thermionic Discharges. In: Kikuchi, H. (eds) Dusty and Dirty Plasmas, Noise, and Chaos in Space and in the Laboratory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1829-7_43
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