Analysis of the intermittent behavior in a low-temperature discharge plasma by recurrence plot quantification

Abstract

The paper presents applications of the recurrence plot quantification to the analysis of type 1 intermittency observed in a discharge plasma. The main measures of recurrence plot analysis considered are the laminarity and the determinism. First, it is demonstrated that the laminarity measure can be related to the average time between chaotic bursts in this type of intermittency. Second, it is shown that the determinism measure introduced by the recurrence plot quantification depends on the control parameter as a decreasing exponential. The test of the results is performed by analyzing the determinism measure for type 1 intermittency observed in the logistic map. It is also shown that the role of the intrinsic noise of the plasma can easily be identified by this technique.

Experimental observation of intermittent route to chaos in magnetized filamentary discharge plasma due to the cylindrical plasma bubble

“…At B = 0 G, the DET value is high (1.0) and 0.9819 for LP1 and LP2, it shows the regular behaviour of the oscillations. This pattern is a clear indication that the chaoticity of the system is increasing . Hence, it can be concluded that plasma as a dynamic system undergoes through regular to irregular intermittent chaos in this experimental condition.…”

“…For the experimental time series, the corresponding periodic signal is showing the value close to 1.0 (0.97 and 0.91) at B = 0 G for LP1 and LP2. Thus, the LAM shows a decreasing pattern and it explains that the system moves to irregular intermittent chaos …”

Calculation of the Statistical Properties in Intermittency Using the Natural Invariant Density

“…The bursts correspond to chaotic behavior [1][2][3][4]. Intermittency has been observed in engineering, physics, medicine, chemistry, and economy [5][6][7][8][9][10][11][12][13][14]. In addition, intermittency has been associated with the symmetry breaking in chaotic and stochastic systems [15,16].…”

Type-I intermittency with discontinuous reinjection probability density in a truncation model of the derivative nonlinear Schrödinger equation

“…This phenomenon has been observed in several physical topics such as Lorenz system, Rayleigh-Benard convection, forced nonlinear oscillators, plasma physics, turbulence, porous media, combustion, reaction diffusion systems, etc. [4][5][6][7][8][9][10][11]. Some examples of control parameters for these physical systems are the Rayleigh number, the excitation frequency, the damping coefficient, etc.…”