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Investigation and quantification of Phase coherence index for different types of forcing in DC glow discharge plasma

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  • Saha, Debajyoti
  • Shaw, Pankaj Kumar
  • Ghosh, Sabuj
  • Janaki, M.S.
  • Iyengar, A.N.S.

Abstract

The evidence of finite nonlinear interaction in a DC glow discharge plasma has been demonstrated by estimating phase coherence index for different types external forcing techniques likewise noise, sinusoidal, square etc. The existence of finite phase coherence index i.e finite correlation prompts us to carry out nonlinearity analysis using delay vector variance (DVV). Finite nonlinear interaction obtained from phase coherence index values is observed to be predominant at a particular amplitude of square forcing which corroborates our nonlinearity analysis using DVV. Existence of phase coherence index has been demonstrated introducing continuous wavelet transform (CWT). Characterization of the difference in the phase distribution by the difference in the waveform in real space instead of dealing in Fourier space has been facilitated by introducing structure function or path length for different orders to study and identify the dynamical system. The expression of path length eventually enables us to evaluate the phase coherence index. The transition in the dynamics is observed through recurrence plot techniques which is an efficient method to observe the critical regime transitions in dynamics.

Suggested Citation

  • Saha, Debajyoti & Shaw, Pankaj Kumar & Ghosh, Sabuj & Janaki, M.S. & Iyengar, A.N.S., 2017. "Investigation and quantification of Phase coherence index for different types of forcing in DC glow discharge plasma," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 173-181.
  • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:173-181
    DOI: 10.1016/j.chaos.2017.08.016
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    References listed on IDEAS

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    1. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. Mitra, Vramori & Sarma, Arun & Janaki, M.S. & Sekar Iyenger, A.N. & Sarma, Bornali & Marwan, Norbert & Kurths, Jurgen & Shaw, Pankaj Kumar & Saha, Debajyoti & Ghosh, Sabuj, 2014. "Order to chaos transition studies in a DC glow discharge plasma by using recurrence quantification analysis," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 285-293.
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    1. Saha, Debajyoti & Ghosh, Sabuj & Shaw, Pankaj Kumar & Janaki, M.S. & Iyengar, A.N.S., 2018. "Interplay of transitions between oscillations with emergence of fireballs and quantification of phase coherence, scaling index in a magnetized glow discharge plasma in a toroidal assembly," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 295-303.

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