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Type-V intermittency from Markov binary block visibility graph perspective

Author

Listed:
  • Nasiri, Nayyere
  • Ahadpour, Sodeif
  • Bordbar, Pejman

Abstract

In this work, type-V intermittency is studied from Markov binary block visibility graphs perspective. We considered a piecewise quadratic Poincare map that is a simple model to exhibit this type of intermittency. The mechanism of type-V intermittency is collision of a stable fixed point with a point of discontinuity of the Poincare map. We study the behavior of a dynamical system in the vicinity of the discontinuous or non-differentiable points (NDP) using networks language. Numerical results showed that there is a logarithmic scaling law logε for the average laminar length of the type-V intermittency. We also described their properties based on statistical tools such as the length between reinjection points and the average laminar length. For further investigation, we verified the degree distribution of the complex network generated by type-V intermittency time series and finally, predicted the behavior of type-V intermittency by the proposed theoretical degree distributions.

Suggested Citation

  • Nasiri, Nayyere & Ahadpour, Sodeif & Bordbar, Pejman, 2022. "Type-V intermittency from Markov binary block visibility graph perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    • Handle: RePEc:eee:phsmap:v:599:y:2022:i:c:s0378437122003247
    DOI: 10.1016/j.physa.2022.127443
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    References listed on IDEAS

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    1. Pejman Bordbar & Sodeif Ahadpour, 2021. "Type-I intermittency from Markov binary block visibility graph perspective," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(7), pages 1303-1318, May.
    2. Subir Ghosh & Sanpei Kageyama & Rahul Mukerjee, 1992. "Efficiency of connected binary block designs when a single observation is unavailable," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(3), pages 593-603, September.
    3. Godolphin, J.D. & Warren, H.R., 2014. "An efficient procedure for the avoidance of disconnected incomplete block designs," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 1134-1146.
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