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Investigation of Geometric Shapes of Hydrodynamic Structures for Identification of Dynamical States of Convective Liquid

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Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2667))

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Abstract

This paper investigates hydrodynamic structures as well as specific geometric structure as Lorenz attractor. Analysis of the Lorenz attractor on the basis of proposed nonlinear decomposition into matrix series is developed. This analysis permits to estimate the values of characteristic parameters (including control one) of Lorenz attractors and predict their evolution in time. This paper shows that convective motions of sea-water in a reservoir can be described by deterministic chaos law as well as fractal dimensions for both topology of motion of water in real space and of evolution in phase space.

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References

  1. Lorenz, E.N.: Deterministic Nonperiodic Flow. Journal of Atmospheric Sciences. 20 (1963) 130–141

    Article  Google Scholar 

  2. Berge, P., Pomeau, Y., Vidal, C.: L’ordre dans le Chaos: Vers une Approche Deterministe de la Turbulence. Hermann, Paris (1988)

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  3. Krot, A.M.: Matrix decompositions of vector functions and shift operators on the trajectories of a nonlinear dynamical system. Nonlinear Phenomena in Complex Systems. 4, no 2 (2001) 106–115

    MathSciNet  Google Scholar 

  4. Landau, L., Lifshitz, E.M.: Hydrodynamics. Nauka, Moscow (1986) (in Russian)

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  5. Nicolis, G., Prigogine, I.: Self-Organization in Nonequilibrium Systems: From Dissipative Structures to Order through Fluctuation. John Willey & Sons, New York etc (1977)

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  6. Haken, H.: Advanced Synergetics: Instability Hierarchies of Self-Organizing Systems and Devices. Springer-Verlag, Berlin etc (1983)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. United Institute of Informatics Problems of the National Academy of Sciences of Belarus, Surganov Str., 6, Minsk, 220012, Belarus

    Alexander M. Krot

  2. Belarusian State University, Skorina Av., 4, Minsk, 220050, Belarus

    Palina P. Tkachova

Authors
  1. Alexander M. Krot
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  2. Palina P. Tkachova
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Editor information

Editors and Affiliations

  1. Army High Performance Computing Research Center, USA

    Vipin Kumar

  2. Department of Computer Science, University of Calgary, Calgary, AB, T2N1N4, Canada

    Marina L. Gavrilova

  3. Heuchera Technologies Inc., 122 9251-8 Yonge Street, Richmond Hill, ON, Canada, L4C 9T3

    Chih Jeng Kenneth Tan

  4. Département d’informatique et de recherche opérationelle, Université de Montréal, Montréal, Québec, H3C 3J7, Canada

    Pierre L’Ecuyer

  5. Department of Computer Science and Engineering, University of Minessota, MN, 55455, USA

    Vipin Kumar

  6. The Queen’s University of Belfast, School of Computer Science, Belfast BT7 1NN, Northern Ireland, UK

    Chih Jeng Kenneth Tan

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© 2003 Springer-Verlag Berlin Heidelberg

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Krot, A.M., Tkachova, P.P. (2003). Investigation of Geometric Shapes of Hydrodynamic Structures for Identification of Dynamical States of Convective Liquid. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44839-X_43

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  • DOI: https://doi.org/10.1007/3-540-44839-X_43

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40155-1

  • Online ISBN: 978-3-540-44839-6

  • eBook Packages: Springer Book Archive

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