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Innovative methods of nonlinear stochastic modeling of time series generated by complex systems - application to geophysics

2012/05/B/ST10/00598

Keywords

Descriptors

  • ST10_18: Inne zagadnienia pokrewne
  • ST1_18: Zastosowania matematyki w innych naukach
  • ST6_12: Obliczenia naukowe, narzędzia modelowania i symulacji

Panel

ST10 – Earth sciences: Earth system science, atmospheric sciences, climatology, geochemistry, geodesy, geoecology, geophysics, physical geography, geoinformatics, planetary geology, pedology, mining, chemical and physical oceanology, environmental protection

Host institution

Instytut Geofizyki PAN

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Zbigniew Edward Czechowski

Number of co-investigators in the project: 4

Call

OPUS 3 – announced on 2012-03-15

Amount awarded
249 900 PLN
Project start date
2013-01-28
Project end date
2015-11-27
Project duration
34 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Dysk zewnętrzny (2 pcs). Cost: 1 000 PLN
  2. Komputer z podstawowym oprogramowaniem oraz profesjonalnym pakietem Mathematica. Cost: 19 000 PLN
  3. Komputer z podstawowym oprogramowaniem oraz upgradem programu Mathematica. Cost: 3 709 PLN
  4. Stacja robocza z podstawowym oprogramowaniem. Cost: 7 000 PLN
  5. laptop.

Information in the final report

Publication in academic press/journals (10)

  1. Reconstruction of the modified discrete Langevin equation from persistent time series

    Authors:
    Zbigniew Czechowski
    Academic press:
    Chaos (year: 2016, volume: 26, pages: 053109-1 - 053109-8), Publisher: AIP Publishing LLC
    Status:
    Published
    DOI:
    10.1063/1.4951683 – link to the publication

  2. On mechanistic explanation of the shape of the universal curve of earthquake recurrence time distribution

    Authors:
    Białecki M.
    Academic press:
    Acta Geophysica (year: 2015, volume: 63, pages: 1205 - 1215), Publisher: De Gruyter
    Status:
    Published
    DOI:
    10.1515/acgeo-2015-0044 – link to the publication

  3. Multifractal analysis of visibility graph-based Ito-related connectivity time series

    Authors:
    Zbigniew Czechowski, Michele Lovallo, and Luciano Telesca
    Academic press:
    Chaos (year: 2016, volume: 26, pages: 023118-1 - 023118-6), Publisher: AIP Publishing LLC
    Status:
    Published
    DOI:
    10.1063/1.4942582 – link to the publication

  4. From statistics of avalanches to microscopic dynamics parameters in a toy model of earthquakes

    Authors:
    Białecki M.
    Academic press:
    Acta Geophysica (year: 2013, volume: 61, pages: 1677-1689), Publisher: Versita, Springer
    Status:
    Published
    DOI:
    10.2478/s11600-013-0111-7 – link to the publication

  5. Construction of Langevin model from time series with periodical correlation function: application to wind speed data

    Authors:
    Czechowski Z., and L. Telesca
    Academic press:
    Physica A (year: 2013, volume: 392, pages: 5592–5603), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physa.2013.07.04 – link to the publication

  6. On one-to-one dependence of rebound parameters on statistics of clusters: exponential and inverse-power distribution out of Random Domino Automaton

    Authors:
    Białecki M. and Z. Czechowski
    Academic press:
    Journal of the Physical Society of Japan (year: 2013, volume: 82, pages: 014003-1-014003-9), Publisher: The Physical Society of Japan
    Status:
    Published
    DOI:
    10.7566/JPSJ.82.014003 – link to the publication

  7. On reconstruction of the Ito-like equation from persistent time series

    Authors:
    Czechowski Z.
    Academic press:
    Acta Geophysica (year: 2013, volume: 61, pages: 1504-1521), Publisher: Versita, Springer
    Status:
    Published
    DOI:
    10.2478/s11600-013-0117-1 – link to the publication

  8. Properties of a finite stochastic cellular automaton toy model of earthquakes

    Authors:
    Białecki M.
    Academic press:
    Acta Geophysica (year: 2015, volume: 63, pages: 923 - 956), Publisher: De Gruyter
    Status:
    Published
    DOI:
    10.1515/acgeo-2015-0030 – link to the publication

  9. Multifractal analysis of time series generated by discrete Ito equations

    Authors:
    Telesca L., Czechowski Z., and M. Lovallo
    Academic press:
    Chaos (year: 2015, volume: 25, pages: 063113-1 - 063113-5), Publisher: AIP Publishing LLC
    Status:
    Published
    DOI:
    10.1063/1.4922592 – link to the publication

  10. On microscopic mechanisms which elongate the tail of cluster size distribution: an example of Random Domino Automaton,

    Authors:
    Czechowski Z.
    Academic press:
    Pure and Applied Geophysics (year: 2014, volume: online first, pages: online first), Publisher: Birkhauser Basel
    Status:
    Published
    DOI:
    10.1007/s00024-014-0865-0 – link to the publication

Articles in post-conference publications (1)

  1. Reconstruction of the Langevin Equation from some Non-Markovian Time Series

    Authors:
    Czechowski Z.
    Conference:
    3rd Conference of Computational Interdisciplinary Sciences, CCIS2014 (year: 2014, pages: 41-45), Publisher: PACIS, Brasil
    Date:
    conference 30.09.2014 - 03.10.2014
    Status:
    Published

Book publications / chapters in book publications (1)

  1. Random Domino Automaton: modeling macroscopic properties by means of microscopic rules

    Authors:
    Białecki M. and Czechowski Z.
    Book:
    Achievements, History and Challenges in Geophysics: 60th Anniversary of the Institute of Geophysics Polish Academy of Sciences, (Bialik, R.; Majdański, M., and Moskalik, M. [Eds]) (year: 2014, volume: seria GeoPlanet, pages: 223-241), Publisher: Springer
    Status:
    Published

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