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

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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)173-181
Number of pages9
JournalChaos, Solitons and Fractals
Volume104
DOIs
StatePublished - 1 Nov 2017
Externally publishedYes

Keywords

  • Continuous wavelet transform
  • Delay vector variance
  • Forcing
  • Phase coherence index
  • Recurrence plot
  • Structure function
  • Surrogate data

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics

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