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A continuous transition from chaotic bursting to chaotic spiking in a glow discharge plasma and its associated long range correlation to anti correlation behaviour

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  • Shaw, Pankaj Kumar
  • Chaubey, Neeraj
  • Mukherjee, S.
  • Janaki, M.S.
  • Iyengar, A.N. Sekar

Abstract

An experimental investigation on the self-excited spiky oscillations in a glow discharge plasma device is presented. The system showed a continuous transition from chaotic bursting to chaotic spiking states with the increase in the applied discharge voltage at a particular pressure. Below a threshold discharge voltage, the system exhibits a fixed point dynamical behaviour and with the increase in the discharge voltage bursting type oscillations appear which are identified as “fold/fold circle” type. The occurrence of the relaxation type spiky oscillations is attributed to the formation and disruption of anode double layer. The burst phases occurred intermittently and the frequency of their occurrence increased with increase in the discharge voltage and finally the oscillation turned into spiking behaviour. The intermittent oscillations manifested the scaling law of the average laminar phase with respect to the change in the discharge voltage. The scaling law of the intermittent oscillations was similar to type III intermittency. During the transition, the system changes its behaviour from long range correlation to long range anti correlation. Detrended fluctuation analysis technique has been used to identify the nature of long range correlations. We found that bursting oscillations show scale invariant, long-range correlation behaviour whereas spiking oscillations show scale invariant, long range anti correlation behaviour.

Suggested Citation

  • Shaw, Pankaj Kumar & Chaubey, Neeraj & Mukherjee, S. & Janaki, M.S. & Iyengar, A.N. Sekar, 2019. "A continuous transition from chaotic bursting to chaotic spiking in a glow discharge plasma and its associated long range correlation to anti correlation behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 126-134.
    • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:126-134
    DOI: 10.1016/j.physa.2018.08.171
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    References listed on IDEAS

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    1. Elaskar, Sergio & del Rio, Ezequiel & Donoso, Jose M., 2011. "Reinjection probability density in type-III intermittency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(15), pages 2759-2768.
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    4. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
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    Cited by:

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