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Continuous wavelet transform based time-scale and multifractal analysis of the nonlinear oscillations in a hollow cathode glow discharge plasma

Phys. Plasmas 16, 102307 (2009); doi:10.1063/1.3241694

Published 15 October 2009

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Md. Nurujjaman, Ramesh Narayanan, and A. N. Sekar Iyengar
Plasma Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India
Continuous wavelet transform (CWT) based time-scale and multifractal analyses have been carried out on the anode glow related nonlinear floating potential fluctuations in a hollow cathode glow discharge plasma. CWT has been used to obtain the contour and ridge plots. Scale shift (or inversely frequency shift), which is a typical nonlinear behavior, has been detected from the undulating contours. From the ridge plots, we have identified the presence of nonlinearity and degree of chaoticity. Using the wavelet transform modulus maxima technique we have obtained the multifractal spectrum for the fluctuations at different discharge voltages and the spectrum was observed to become a monofractal for periodic signals. These multifractal spectra were also used to estimate different quantities such as the correlation and fractal dimension, degree of multifractality, and complexity parameters. These estimations have been found to be consistent with the nonlinear time series analysis. ©2009 American Institute of Physics
History: Received 6 August 2009; accepted 11 September 2009; published 15 October 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/102307/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.35.Mw
    Nonlinear phenomena: plasma waves, wave propagation and other interactions
  • 52.25.Gj
    Plasma fluctuation and chaos phenomena
  • 52.35.Fp
    Plasma electrostatic waves and oscillations
  • 52.80.Hc
    Glow; corona discharges
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
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REFERENCES (36)
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  1. Md. Nurujjaman, R. Narayanan, and A. N. Sekar Iyengar, Chaos 17, 043121 (2007) and references therein.
  2. Md. Nurujjaman, A. N. Sekar Iyengar, and P. Parmananda, Phys. Rev. E 78, 026406 (2008).
  3. Md. Nurujjaman and A. N. Sekar Iyengar, Phys. Lett. A 360, 717 (2007).
  4. Lin I and J. -M. Liu, Phys. Rev. Lett. 74, 3161 (1995).
  5. A. Dinklage, C. Wilke, and T. Klinger, Phys. Plasmas 6, 2968 (1999).
  6. T. Klinger, F. Greiner, A. Rohde, A. Piel, and M. E. Koepke, Phys. Rev. E 52, 4316 (1995).
  7. R. H. Abrams, E. J. Yadlowsky, and H. Lashinsky, Phys. Rev. Lett. 22, 275 (1969).
  8. J. C. Sprott, Chaos and Time-Series Analysis (Oxford University Press, New York, 2003), p. 123.
  9. H. Kantz and T. Schreiber, Nonlinear Time Series Analysis (Cambridge University Press, Cambridge, England, 2004), Chap. 5, p. 6.
  10. J. Sun, Y. Zhao, T. Nakamura, and M. Small, Phys. Rev. E 76, 016220 (2007).
  11. C. Chandre, S. Wiggins, and T. Uzer, Physica D 181, 171 (2003).
  12. J. C. Sprott and G. Rowlands, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 1865 (2001).
  13. G. B. Mindlin and R. Gilmore, Physica D 58, 229 (1992).
  14. R. W. Boswell, Plasma Phys. Controlled Fusion 27, 405 (1985).
  15. T. Higuchi, Physica D 31, 277 (1988).
  16. A. Arneodo, Y. d'Auubenton-Carafa, E. Bacry, P. V. Graves, J. F. Muzy, and C. Thermes, Physica D 96, 291 (1996).
  17. A. Silchenko and C. -K. Hu, Phys. Rev. E 63, 041105 (2001).
  18. A. B. Chhabra, C. Meneveau, R. V. Jensen, and K. R. Sreenivasan, Phys. Rev. A 40, 5284 (1989).
  19. Z. R. Struzik and A. P. J. M. Siebes, Physica A 309, 388 (2002).
  20. J. F. Muzy, E. Bacry, and A. Arneodo, Phys. Rev. Lett. 67, 3515 (1991).
  21. J. F. Muzy, E. Bacry, and A. Arneodo, Phys. Rev. E 47, 875 (1993).
  22. S. Mallat, A Wavelet Tour of Signal Processing (Academic, New York, 1999), p. 79.
  23. H. Grussbach and M. Schreiber, Phys. Rev. B 51, 663 (1995).
  24. scal2frq is a standard MATLAB function to compute frequency from scale.
  25. O. Mendes, Jr., M. O. Domingues, A. Mendes da Costa, and A. L. Clúa de Gonzalez, J. Atmos. Sol.-Terr. Phys. 67, 1827 (2005).
  26. M. O. Domingues, O. Mendes, Jr., and A. Mendes da Costa, Adv. Space Res. 35, 831 (2005).
  27. R. Lind, K. Snyder, and M. Brenner, Mech. Syst. Signal Process. 15, 337 (2001).
  28. P. Ch. Ivanov, L. A. Nunes Amaral, A. L. Goldberger, S. Havlin, M. G. Rosenblum, H. Eugene Stanley, and Z. R. Struzik, Chaos 11, 641 (2001).
  29. X. Sun, H. Chen, Y. Yuan, and Z. Wu, Physica A 301, 473 (2001).
  30. Y. Shimizu, M. Barth, C. Windischberger, E. Moser, and S. Thurnerb, Neuroimage 22, 1195 (2004).
  31. J. C. Johnson, N. D'Angelo, and R. L. Merlino, J. Phys. D 23, 682 (1990).
  32. J. M. Dawson, Phys. Rev. 113, 383 (1959).
  33. G. J. Morales and T. M. O'Neil, Phys. Rev. Lett. 28, 417 (1972).
  34. J. Vaclavik and K. Appert, Phys. Fluids 23, 1801 (1980).
  35. O. Ishihara and A. Hirose, Phys. Fluids 27, 2429 (1984).
  36. M. E. Koepke, A. Dinklage, T. Klinger, and C. Wilke, Phys. Plasmas 8, 1432 (2001).

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