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Nonlinearity and chaos in wireless network traffic

Author

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  • Mukherjee, Somenath
  • Ray, Rajdeep
  • Samanta, Rajkumar
  • Khondekar, Mofazzal H.
  • Sanyal, Goutam

Abstract

The natural complexity of wireless mobile network traffic dynamics has been assessed in this article by tracing the presence of nonlinearity and chaos in the profile of daily peak hour call arrival and daily call drop of a sub-urban local mobile switching centre. The tools like Recurrence Plot and Recurrence Quantification Analysis (RQA) has been used to reveal the probable presence of non-stationarity, nonlinearity and chaosity in the network traffic. Information Entropy (IE) and 0–1 test have been employed to provide the quantitative support to the findings. Both the daily peak hour call arrival profile and the daily call drop profile exhibit non-stationarity, determinism and nonlinearity with the former one being more regular while the later one is chaotic.

Suggested Citation

  • Mukherjee, Somenath & Ray, Rajdeep & Samanta, Rajkumar & Khondekar, Mofazzal H. & Sanyal, Goutam, 2017. "Nonlinearity and chaos in wireless network traffic," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 23-29.
    • Handle: RePEc:eee:chsofr:v:96:y:2017:i:c:p:23-29
    DOI: 10.1016/j.chaos.2017.01.005
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    References listed on IDEAS

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    1. Xia, Yongxiang & Liu, Nianjun & Iu, Herbert H.C., 2009. "Oscillation and chaos in a deterministic traffic network," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1700-1704.
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    Cited by:

    1. Anguiano-Gijón, Carlos Alberto & Muñoz-Vázquez, Aldo Jonathan & Sánchez-Torres, Juan Diego & Romero-Galván, Gerardo & Martínez-Reyes, Fernando, 2019. "On predefined-time synchronisation of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 172-178.
    2. Tian, Zhongda, 2020. "Chaotic characteristic analysis of network traffic time series at different time scales," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    3. García, P., 2022. "A machine learning based control of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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