Research

mathematical modeling and computer simulation of social systems

Science areas:
- mathematical modelling of biosphere, ethnic and social processes;
- numerical methods for differetial equations;
- modelling of multi-agent systems.

Term paper (4 year, mathematical department, Omsk State University)
Computer Simulation of Ethnogenetic Processes
Scientific advisor - Dr., Prof. A.K.Guts
Text of paper

M.Sc. degree in Mathematics (mathematical department, Omsk State University)
Computer Simulation of Biosphere Processes
Scientific advisor - Dr., Prof. A.K.Guts
June, 17th, 1998, qualification - mathematician, specialization - mathematics
Text of thesis

Ph.D. degree in Mathematical Modelling
Mathematical Modelling of Ethnic Fields
Scientific advisor - Dr., Prof. A.K.Guts
June, 7th, 2002, specialization - mathematical modelling, numerical methods and software
Full text (PDF-format, 1574kB, russian)
Short text (PDF-format, 234kB, russian)

Text-books:

  1. Korobitsin, V.V., Frolova, J.V. Modelling the Computational Systems: Text-book. Omsk, Omsk State University Press, 2006. 72 p.
  2. Frolova, J.V., Korobitsin, V.V. Office Applications and Computer Graphics: Text-book. Omsk, Omsk State Technical University Press, 2005. 252 p.
  3. Korobitsin, V.V., Frolova, J.V. Computational Methods and Programming: Text-book. Omsk, Dialogue-Siberia, 2004. 182 p.
  4. Korobitsin, V.V., Frolova, J.V. Informatics: Text-book. Omsk, Dialogue-Siberia, 2004. 140 p.
  5. Guts, A.K., Korobitsin, V.V., Laptev, A.A., Pautova, L.A., Frolova, J.V. Computer Simulation. Tools for Research of Social Systems: Text-book. Omsk, Omsk State University Press, 2001. 92 p.
  6. Guts, A.K., Korobitsin, V.V., Laptev, A.A., Pautova, L.A., Frolova, J.V. Mathematical Models of Social Systems: Text-book. Omsk, Omsk State University Press, 2000. 256 p.
  7. Guts, A.K., Korobitsin, V.V., Laptev, A.A., Pautova, L.A., Frolova, J.V. Social Systems. Formalization and Computer Simulation: Text-book. Omsk, Omsk State University Press, 2000. 160 p.
Articles:
  1. Korobitsin V.V., Frolova J.V. Numerical Algorithm for Solving the Differential Equations with Discontinuous Right-hand Side // Mathematical Structures and Modeling, Omsk, 2005, no. 15, pp.47-55. /Russian/
  2. Korobitsin V.V., Frolova J.V. Modelling the Vehicle Flow on Crossroad and Calculating the Optimal Parameters for Control Systems // Mathematical Structures and Modeling, Omsk, 2004, no. 14, pp.29-42. /Russian/
  3. Victor Korobitsin and Julia Frolova, Mathematical Modelling the Ethnic System, Lecture Notes in Computer Science, Volume 2658/2003, pp. 629-635 (Springer-Verlag Heidelberg, 2003).
  4. Julia Frolova and Victor Korobitsin, Simulation of Gender Artificial Society: Multi-agent Models of Subject-Object Interactions, P.M.A. Sloot, C.J. Kenneth Tan, J.J. Dongarra, A.G. Hoekstra (Eds.): Computational Science - ICCS 2002 International Conference, Amsterdam, The Netherlands, April 21-24, 2002. Proceedings, Part I, LNCS 2329, p. 226 ff, Springer-Verlag Lecture Notes in Computer Science series.
  5. Julia Frolova and Victor Korobitsin, Computer Simulation as New Technology of Training Social Science Students, in The Internatitional Simulation and Gaming Research Yearbook, Volume 9, Simulations and Games for Education, Culture and Leisure (eds.) Claude Bourles and Peter Walsh, pp.109-114, Kogan Page, London, 2000.
  6. Korobitsin V.V., Frolova J.V. Multi-Agent Model of Pulse Influence on Gender Interaction Process in Society // Mathematical Structures and Modeling, Omsk, 2000, no. 8, pp.107-114. /Russian/
  7. Korobitsin V.V., Frolova J.V. Simulation of Individual Socialization // Mathematical Structures and Modeling, Omsk, 2000, no. 6, pp.91-100. /Russian/
  8. Korobitsin V.V. Model of Territory Distribution of Drive Energy of Ethnos // Mathematical Structures and Modeling, Omsk, 2000, no. 5, pp.44-53 /Russian/
  9. Korobitsin V.V. Proof of Theorem of Existence and Uniqueness Solution of One Parabolic Equation // Mathematical Structures and Modeling, Omsk, 2000, no. 5, pp.54-60. /Russian/
  10. Korobitsin V.V., Computer Modeling of Biosphere // Mathematical Structures and Modeling, Omsk, 1999, no. 3, pp.96-108. /Russian/
  11. Frolova J.V., Korobitsin V.V., Laptev A.A. Computer Simulation of Man Resource Influence by Woman Behaviour // Mathematical Structures and Modeling, Omsk, 2000, no. 5, pp.97-103. /Russian/
  12. Korobitsin V.V., Guts A.K., Software MEP for Simulation of Evolution and Social Processes // Vestnik of Omsk University, Omsk, 1999, no.2, pp.23-25. /Russian/
  13. Korobitsin V.V., Frolova J.V. Gender Interaction Model Based Pulse Influence // Society. Gender. Culture: International Science Conference. Omsk, Omsk State University Press, 2001, part 2, pp.151-158. /Russian/
  14. Guts A.K., Korobitsin V.V., Computer Simulation of Ethnogenesis Processes // VINITI 24 sept. 1997, N2903-B97, Omsk State University, Omsk, 1997. 23 p. /Russian/
Electronic Papers:
  1. On Mathematical Modelling of Ethnical Processes. Ethnical Field Distribution
    Gumilevica: Hypothesis, Theories, Philosophy by Lev N. Gumilev.
Thesises:
  1. Landscape Delimitation between Ethnoses by Modelling, Proceedings of the 23th International Conference of the System Dynamics Society 2005, p. 94, John D. Sterman et al. (Eds.) Boston, USA, 2005. (with Frolova, J.V.)
  2. Modelling the Crossroad Traffic Flow and Adaptive Traffic Light Control , Proceedings of The Second South-East Mathematical Conference, June 1-3, 2005, Vaxjo, Sweden. P. 5. (with Frolova, J.V.)
  3. Mathematical Modelling the Dynamics of Ethnic System, Proceedings of the International Conference "Mathematical Modelling Of Social And Economical Dynamics" (Mmsed-2004), June 23-25, 2004, Moscow, RSSU, 2004, pp. 155-157.
  4. Two multi-agent models of gender interaction in artificial society
    The first international joint conference on Autonomous agents and multiagent systems.
    ACM Press New York, NY, USA, 2002. 207-208. (with Frolova, J.V.)
  5. Mathematical Model of Ethnical Field Interaction
    International Scientifical Conference
    Mathematical Modeling in Science, Training and Plant
    (Tiraspol, Moldova, 2001 June 27th - 30th)
  6. Software TERRI for Modeling of Ethnical Fields
    International Scientifical Conference
    Tools for Mathematical Modelling
    (Saint-Petersburg, Russia, 2001 June 18th - 21st)
  7. Numerical Method for Solving of Ethnical Field Modeling Problem
    Scientifical Conference
    Young Scientists on Board of Third Millenium
    (Omsk, Russia, 2001 June 13th - 15th)
  8. Software MEP is Tools for Modeling of Global Biosphere Processes
    All-Russian Science Summer School
    Mathematical Methods in Ecology
    (Petrozavodsk, Russia, 2001 June 10th - 16th)
  9. Parabolic Equation Described the Dynamics Model of Ethnical Field Interactions
    XXXIX International Science Student Conference
    (Novosibirsk, Russia, 2001 April 9th - 13th) /Russian/
  10. Mathematical Modeling of Ethnos Drive Energy Distribution
    Fourth Siberian Congress on Industrial and Applied Mathematics
    IMPRIM-2000
    (Novosibirsk, Russia, 2000 June 26th - July 1st) /Russian/
  11. Ethnos as Unit of Society Model
    2nd International Conference on Sociocybernetics
    Sociocybernetic Designs for Globalization and Sustainability
    Self-organization and Management of Complex Evolving Systems
    (Panticosa, Spain, 2000 June 25th - July 1st)
  12. Mathematical Modeling of Ethnogenesis on Europe Territory
    II All-Russian Science-Technical Conference
    Computer Technology in Science, Design and Production
    (N.Novgorod, Russia, 2000 February 3rd - 4th) /Russian/
  13. Mathematical Modeling of Interaction of Some Ethnoses
    Symposium devoted by M.A.Krasnoselskiy's memory
    Mathematical Modeling in Scholar and Technical Sciences
    (Voronezh, Russia, 2000 January 20th - 27th) /Russian/
  14. Differential Equations in Model of Global Biosphere Processes
    XXXVII International Science Student Conference
    (Novosibirsk, Russia, 1999 April 12th - 16th) /Russian/
Participation in the Conferences:
  1. Numerical Algorithm for Solving the Differential Equation Systems with Discontinuous Right-hand Side
    The Second South-East Mathematical Conference
    (Vaxjo, Sweden, 2005 June 1-3)
  2. Numerical Method for Solving of Ethnical Field Modeling Problem
    Scientifical Conference
    Young Scientists on Board of Third Millenium
    (Omsk, Russia, 2001 June 13-15)
  3. Mathematical Modeling of Biosphere
    Second All-Russian Seminar
    Modeling of Nonequilibrium Systems-99
    (Krasnoyarsk, Russia, 1999 October 22-24)
  4. Differential Equations in Model of Global Biosphere Processes
    XXXVII International Science Student Conference
    (Novosibirsk, Russia, 1999 April 12-16)
  5. Computer Simulation of Biosphere
    International Seminar
    Methods of Applied Mathematics and Information Technologies in Multidiscipline Investigations and Projects
    (Omsk, Russia, 1998 October 6-8)
Participation in Summer Schools:
  1. Complex System Summer School 2002
    Santa Fe Institute & CEU, Budapest, July 8 - August 2.

Web-sites:

  1. Social Systems

Software:

  1. MEP - the Modelling of Evolution Processes
  2. TERRI - the Territory Ethnic eneRgy distRIbution
  3. MEP2 - the Modelling of Evolution Processes 2





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