IEEE Transactions on Plasma Science · 2000 · 13 citations · 11 references
Natural SciencesElectrical EngineeringPhysicsAcousticsPlasma PhysicsTime Series AnalysisPlasma DiagnosticsPlasma OscillationsArc DischargesArc Plasma PhysicsHollow Cathode DischargesPhase PortraitsPlasma Fluctuation AnalysisSignalsVoltage-dependent Fluctuations
The basic nature of arc root fluctuation in a plasma torch is an extremely important factor from the point of view of improving and optimizing performance of a plasma torch in present-day technology. In spite of a number of ingenious attempts, this particular phenomenon is still not fully explored. In this paper, voltage, acoustic, and optical signals generated from a hollow cathode plasma torch are analyzed using various tools of dynamical analysis such as real-time behavior, phase portraits, power spectra, Lyapunov exponent, dimension, etc. Origin of each of the signal in relation to arc-root fluctuation and mutual correspondence among themselves are described in detail. For the first time, all the signals are found to exhibit clear evidence of chaotic behavior in all respect. A dimensional analysis reveals all the three signals to be originated from the same chaotic phenomenon, i.e., fluctuation of are root.
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Determining Lyapunov exponents from a time series
Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text
Norman H. Packard, James P. Crutchfield, J. Doyne Farmer et al. · Physical Review Letters · 1980 · 3.9K citations
Observation of a strange attractor
Jean‐Claude Roux, Reuben H. Simoyi, Harry L. Swinney · Physica D Nonlinear Phenomena · 1983 · 263 citations