Order to chaos transition studies in a DC glow discharge plasma by using recurrence quantification analysis

Mitra, Vramori; Sarma, Arun; Janaki, M. S.; Iyenger, A.N. Sekar; Sarma, Bornali; Marwan, Norbert; Kurths, Jürgen; Shaw, Pankaj Kumar; Saha, Debajyoti; Ghosh, Samir

doi:10.1016/j.chaos.2014.10.005

Cited by 28 publications

(11 citation statements)

References 28 publications

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“…The histogram ( ) of the lengths of diagonal lines (Fig. 3) characterizes the dynamics [25,26,27] and can be and has been used to quantitatively distinguish between RPs, the underlying dynamics, or to identify regime transitions [15,3,11,12,13].…”

Section: Recurrence Quantification Analysis and Border Effectsmentioning

confidence: 99%

“…Recurrence quantification analysis (RQA) is a powerful tool for the identification of characteristic dynamics and regime changes [1,2]. This approach is successfully applied in many scientific disciplines [3,4,5,6,7,8,9,10,11,12,13]. Several measures of complexity are defined on geometric features (such as diagonal and vertical lines) in the recurrence plot (RP), which represents time points when a state ⃗ at time recurs [14,3,1,2].…”

Section: Introductionmentioning

confidence: 99%

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Border effect corrections for diagonal line based recurrence quantification analysis measures

Kraemer¹,

Marwan²

2019

Preprint

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In recurrence quantification analysis, border effects and tangential motion can heavily bias diagonal line based characteristics.• Border effect bias can be minimized by a simple alteration of the diagonal line length histogram.• A parameter free, skeletonization method reduces artifacts due to tangential motion and leaves a RP of thin diagonal lines.• The proposed correction schemes lead to diagonal line entropy values that fall within analytically derived expectation ranges, even in the presence of noise.

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Section: Recurrence Quantification Analysis and Border Effectsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Border effect corrections for diagonal line based recurrence quantification analysis measures

Kraemer¹,

Marwan²

2019

Preprint

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“…Plasma medium being intrinsically nonlinear has attracted considerable interest in the study of chaotic dynamics associated with it [2][3][4]. These studies have mostly explored the chaotic behavior associated with macroscopic signals such as the current-voltage characteristics etc.…”

Section: Introductionmentioning

confidence: 99%

Chaotic dynamics of small sized charged Yukawa Dust Clusters

Deshwal,

Yadav,

Prasad

et al. 2021

Preprint

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In a recent work, [1] the equilibrium of a cluster of charged dust particles mutually interacting with screened Coulomb force and radially confined by an externally applied electric field in a 2-D configuration was studied. It was shown that the particles arranged themselves on discrete radial rings forming a lattice structure. In some cases with the specific number of particles, no static equilibrium was observed; instead, angular rotation of particles positioned at various rings was observed. In a two-ringed structure, it was shown that the direction of rotation was opposite. The direction of rotation was also observed to change apparently at random time intervals. A detailed characterization of the dynamics of small-sized Yukawa clusters has been carried out in the present work. In particular, it has been shown that the dynamical time reversal of angular rotation exhibits chaotic behavior.

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“…4(d 2 )-4(e 2 )). In our previous work, 13 we have found that in the absence of a magnetic field the frequency range lies between 9 and 32 kHz while introducing a magnetic field to the system increases the range of frequencies of plasma oscillations.…”

Section: A Power Spectral Analysismentioning

confidence: 99%

“…Recently, we have used RQA to study order-chaos transition in an unmagnetized DC glow discharge plasma oscillation. 13 We have investigated the robustness of RQA variables in the presence of different noise levels. We have utilized the RP and RQA as an important tool for identifying the normal and inverse homoclinic bifurcation in a double plasma system near a plasma fireball.…”

Section: Introductionmentioning

confidence: 99%

Investigation of complexity dynamics in a DC glow discharge magnetized plasma using recurrence quantification analysis

Mitra

Sarma

et al. 2016

Physics of Plasmas

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Recurrence is an ubiquitous feature which provides deep insights into the dynamics of real dynamical systems. A suitable tool for investigating recurrences is recurrence quantification analysis (RQA). It allows, e.g., the detection of regime transitions with respect to varying control parameters. We investigate the complexity of different coexisting nonlinear dynamical regimes of the plasma floating potential fluctuations at different magnetic fields and discharge voltages by using recurrence quantification variables, in particular, DET, Lmax, and Entropy. The recurrence analysis reveals that the predictability of the system strongly depends on discharge voltage. Furthermore, the persistent behaviour of the plasma time series is characterized by the Detrended fluctuation analysis technique to explore the complexity in terms of long range correlation. The enhancement of the discharge voltage at constant magnetic field increases the nonlinear correlations; hence, the complexity of the system decreases, which corroborates the RQA analysis.

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Order to chaos transition studies in a DC glow discharge plasma by using recurrence quantification analysis

Cited by 28 publications

References 28 publications

Border effect corrections for diagonal line based recurrence quantification analysis measures

Border effect corrections for diagonal line based recurrence quantification analysis measures

Chaotic dynamics of small sized charged Yukawa Dust Clusters

Investigation of complexity dynamics in a DC glow discharge magnetized plasma using recurrence quantification analysis

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