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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

Выпуски:
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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v47.i10.20
pages 13-23

Data Analysis Method and Problems of Identification of Trajectories of Solitary Waves

Andrey Ya. Bomba
Rovno State Humanitarian University
Yuriy V. Turbal
National University of Water Industry and Nature Management, Rovno

Краткое описание

Methods for identification of trajectories of solitary waves by results of discrete observations in medium, where several waves exist simultaneously, are proposed. The method consists of separate stages of analysis of velocities, determination of interrelation of data and analysis of their trajectories. On construction of predicted trajectories the problem is reduced to verification of consistency of systems of moment relations, equivalent to problem of the Markov moments.

ЛИТЕРАТУРА

  1. Bomba A.Ya., Turbal Yu.V., Prediction of trajectories of solitary waves of deformations in anisotropic elastic bodies, Mezhdunarodnyi nauchno tekhnicheskiy zhurnal "Problemy upravleniya i informatiki", 2014, No. 3, 12-21.

  2. Krein M.G., Nudelman A.A., Problem of Markovian moments and extremal problems (in Russian), Nauka, Moscow, 1963.

  3. Turbal Yu., The trajectories of self-reinforsing solitary wave in the gas disc of galaxies, Proceedings of the 3-rd International Conference on Nonlinear Dynamics, Kharkov, 2010, 112-118.

  4. Turbal Yu.V., Investigation of nonlinear effects of interaction of solitary waves of deformation with domains of variable density for anisotropic rigid body, Fiziko-matematicheskoe modelirovanie i informatsionnyye tekhnologii, 2013, No. 18, 112-119.

  5. Kozak J., Sileny J., Seismic events with non-shear component. I. Shallow earthquakes with a possible tensile source component, PAGEOPH, 1985, No. 123, 1-15.

  6. Berkovich A.S., Lemeshko B.Yu., Shcheglov A.E., Investigation of distribution of statistics of trend and randomness criteria, Proceedings of X International Conference "Aktualnyye problemy elektronnogo priborostroyeniya, APEP-2010", Novosibirsk, 2010.

  7. Kobzar A.I., Applied mathematical statistics (in Russian), Fizmatlit, Moscow, 2006.

  8. Bomba A.Ya., Turbal Yu.V., Mathematical model of seismic process, which considers slow solitary waves of deformations, Vestnik Kremenchugskogo natsionalnogo universiteta imeni Mikhaila Ostrogradskogo, 2013, No. 4 (81), 88-93.

  9. Erofeyev V.I., Wave processes in rigid bodies with microstructure (in Russian), Izdatelstvo Moskovskogo universiteta, Moscow, 1999.

  10. Bartels R., The rank version of von Neumann's ratio test for randomness, JASA, 1982, 77, No. 377, 40-46.


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