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Статья
2020

Formation of One-Dimensional Distributions of Values of Correlators of Network Traffic Aggregates


A. E. KrasnovA. E. Krasnov, D. N. Nikol’skiiD. N. Nikol’skii
Российский физический журнал
https://doi.org/10.1007/s11182-020-02070-y
Abstract / Full Text

A mathematical model of the flow of aggregated load characteristics of network traffic data packets in the form of a set of analytical signals is proposed. The real parts of the analytical signals are defined as functions of the number of packets in each aggregate, and each analytical signal is juxtaposed to one of the flag indices of the aggregate. A conditional analogy between the network traffic aggregate flow and the envelope of the wave packets of a coherent electromagnetic field is drawn based on which the phase portraits and the correlation functions of the network traffic aggregates are considered, analogous to the phase portraits and the envelopes of the correlators of the coherent electromagnetic field. It is shown that the phase portraits and the onedimensional distributions of values of the correlators can be used to describe various normal and abnormal states of the network traffic caused by complex DDoS attacks.

Author information
  • Russian State Social University, Moscow, RussiaA. E. Krasnov & D. N. Nikol’skii
References
  1. S. Kanarachos et al., in: Abstracts of Reports Presented at the 6th Int. Conf. on Information, Intelligence, Systems and Applications, Corfu (2015), pp. 1–6.
  2. D. Bhattacharyya and J. Kalita, DDoS Attacks: Evolution, Detection, Prevention, Reaction, and Tolerance, CRC Press Taylor & Francis Group, Boca Raton (2016).
  3. A. E. Krasnov, E. N. Nadezhdin, D. S. Nikol’skii, and V. S. Galyaev, Chebyshevskii Sbornik, 19, No. 2, 217–233 (2018).
  4. C. Nedelcu, Nginx HTTP Server, Third Edition, Packt Publishing Ltd., Birmingham (2015).
  5. URL: https://search.packtpub.com/? query=Nginx.
  6. J. Postel, ed. Internet Protocol – DARPA Internet Program Protocol Specification, rfc791 (Internet Standard), USC/Information Sciences Institute, Los Angeles (1981); URL: https://tools.ietf.org/html/12.
  7. J. Postel, ed., Transmission Control Protocol – DARPA Internet Program Protocol Specification, rfc793 (Internet Standard), USC/Information Sciences Institute, Los Angeles (1981); URL: https://tools.ietf.org/html/rfc793.
  8. S. M. Rytov, Introduction to Statistical Radio Physics. Part 1. Random Processes [in Russian], Nauka, Moscow (1976).
  9. A. P. Kanavin and O. N. Krokhin, Kvant. Elektron., 48, No. 8, 711–714 (2018).
  10. R. Glauber, Phys. Rev., 130, No. 6, 2529–2539 (1963).
  11. A. E. Krasnov, Radio Tekh., No. 2, 49–54 (1997).
  12. D. D. Nolte, Phys. Today, 63, No. 4, 31–33 (2010).
  13. A. E. Krasnov and I. N. Kompanets, Radio Tekh., No. 1, 55–60 (2001).
  14. J. R. Klauder and E. C. G. Sudarshan, Fundamentals of Quantum Optics [Russian translation], Nauka, Moscow, 1970.
  15. A. E. Krasnov, Kvant. Elektron., 4, No. 9, 2011–2013 (1977).