Applying a recurrence plot scheme to analyze non-stationary transition patterns of IP-network traffic

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 4, 2009, Pages 1418-1430

  Masugi, Masao ^a  

^a NTT CORPORATION   (Japan)

Author keywords

Detrended fluctuation analysis; Multi fractal; Network traffic; Non stationary transition; Recurrence plot

Indexed keywords

INTERNET PROTOCOLS; SPEECH PROCESSING;

DETRENDED FLUCTUATION ANALYSIS; IP-NETWORK; LONG RANGE DEPENDENCE; MULTI FRACTALS; NETWORK TRAFFIC; NON-STATIONARY TRANSITION; NONSTATIONARY; PROPERTY; RECURRENCE PLOT; TRANSITION PATTERNS;

FRACTAL DIMENSION;

EID: 55549102355     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.01.001     Document Type: Article

References (21)

1. Leland W.E., Taqqu M.S., Willinger W., and Wilson D.V. On the self-similar nature of Ethernet traffic (extended version). IEEE/ACM Trans Netw 2 1 (1994) 1-15
2. Paxson V., and Floyd S. Wide area traffic: the failure of Poisson modeling. IEEE/ACM Trans Netw 3 3 (1995) 226-244
3. Gilbert A.C., Willinger W., and Feldmann A. Scaling analysis of conservative cascades, with applications to network traffic. IEEE Trans Inform Theor 45 (1999) 971-991
4. Erramilli A, Narayan O, Neidhardt A, Saniee I. Performance impacts of multi-scaling in wide area TCP/IP traffic. In: Proc INFOCOM 2000; 2000. p. 352-9.
5. Furuya H., Fukushima M., Nakamura H., and Nomoto S. Modeling of aggregated TCP/IP traffic on a bottleneck link based on scaling behavior. IEICE Trans Commun E85-B 9 (2002) 1756-1764
6. Fukuda K., Takayasu H., and Takayasu M. Spatial and temporal behaviors in a computer network model. Fractals 7 1 (1999) 23-31
7. Tretyakov A.Yu., Takayasu H., and Takayasu M. Phase transition pattern in a computer network. Physica A 253 (1998) 315-322
8. Takayasu M., Takayasu H., and Fukuda K. Dynamic phase transition observed in the Internet traffic flow. Physica A 277 (2000) 248-255
9. Masugi M. Recurrence plot-based approach to the analysis of IP-network traffic in terms of assessing nonstationary transitions over time. IEEE Trans Circ Syst I 53 10 (2006) 2318-2326
10. Eckmann J.P., Kamphorst S.O., and Ruelle D. Recurrence plots of dynamical systems. Europhys Lett 4 9 (1987) 973-977
11. Iwanski J.S., and Brandley E. Recurrence plots of experimental data: to embed or not to embed. Chaos 8 4 (1998) 861-871
12. Webber Jr. C.L., and Zbilut J.P. Dynamical assessment of physiological system and status using recurrence plot strategies. J Appl Physiol 76 (1994) 965-973
13. Thiel M., Romano M.C., Kurths J., Meucci R., Allaria E., and Arecchi F.T. Influence of observational noise on the recurrence quantification analysis. Physica D 171 (2002) 138-152
14. Marwan N., and Kurths J. Nonlinear analysis of bivariate data with cross recurrence plots. Phys Lett A 302 (2002) 299-307
15. Peng C.-K., Buldrev S.V., Havlin S., Simons M., Stanley H.E., Goldberger A.L., et al. Phys Rev E 49 2 (1994) 1685-1689
16. Liu Y., Gopikrishnan P., Cizeau P., Meyer M., Peng C.-K., and Stanley H.E. Statistical properties of the volatility of price fluctuations. Phys Rev E 60 2 (1999) 1390-1400
17. Ivanova K., and Ausloos M. Application of the detrended fluctuation analysis (DFA) method for describing cloud breaking. Physica A 274 (1999) 349-354
18. Feder J. Fractals (1988), Plenum Press, New York
19. Meakin P. Fractals, scaling and growth far from equilibrium (1998), Cambridge University Press
20. Fraser A.M., and Swinnery H.L. Independent coordinates for strange attractors from mutual information. Phys Rev A 33 (1986) 1134-1140
21. Kennel M.B., Brown R., and Abarbanel H.D.I. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys Rev A 45 (1992) 3403-3411