Open Access
ITM Web Conf.
Volume 24, 2019
AMCSE 2018 - International Conference on Applied Mathematics, Computational Science and Systems Engineering
Article Number 01014
Number of page(s) 5
Section Communications-Systems-Signal Processing
Published online 01 February 2019
  1. K. Nagel, M.A. Schreckenberg. Cellular automation models for freeway traffic J. Phys. I. (DOI: 10.1051/jp1.1992277) 2 (12) 2221– 2229 (1992) [Google Scholar]
  2. V. Belitzky, P.A. Ferrary. Invariant measures and convergence properties for cellular automation 184 and related processes J. Stat. Phys. (DOI: 10.1007/s10955-044-8822-4) 118 (3) 589–623 (2005) [CrossRef] [Google Scholar]
  3. S. Wolfram. Statistical mechanics of cellular automata Rev. Mod. Phys. 55 601–644 (1983) [CrossRef] [Google Scholar]
  4. M.L. Blank. Exact analysis of dynamical systems arising in models of flow traffic Russian Math Surveys ( 55 (5) 562–563 (2005) [CrossRef] [Google Scholar]
  5. L. Gray, D. Grefeath The ergodic theory of traffic jams. J. Stat. Phys. (DOI: 10.1023/A:1012202706850) 105 (3/4) 413–452 (2001) [CrossRef] [Google Scholar]
  6. Kanai M. Exact solution of the zero range process Journal of Physics A. Mathematical and Theoretical (DOI:10.1088/1751-8118/40/26/001) 40 (19) 7127–7138 (2007) [CrossRef] [Google Scholar]
  7. Blank M. Metric properties of discrete time exclusion type processes in continuum. J. Stat. Phys. (DOI: 10.1007/s10955-010-9983-y) 140 (1) 170–197 (2010) [CrossRef] [Google Scholar]
  8. Biham O., Middleton A.A., Levine D. Self-organization and a dynamical transition in traffic-flow models. Phys. Rev. A (DOI: 10.1003/PhysRevA.46.R6124) 46 (10) R6124–R6127 (1992) [CrossRef] [PubMed] [Google Scholar]
  9. Austin T., Benjamini I. For what number of cars must self-organization occur in the Biham–Middleton–Levine traffic model from any possible starting configuration? arXiv.math/0607759 [Google Scholar]
  10. V.V. Kozlov, A.P. Buslaev, A.G. Tatashev On synergy of totally connected flow on chainmails (CMMSE-2013, Cadis, Spain) 3 861–6 873 (2013) [Google Scholar]
  11. A.P. Buslaev, M.Yu. Fomina, A.G. Tatashev, M.V. Yashina. On discrete flow networks model spectra: statement, simulation, hypotheses. J. Phys.: Conf. Ser. (DOI: 10.1088/1742/6596/1053/1/012034) 1053 012034 (2018) [CrossRef] [Google Scholar]
  12. A.P. Buslaev, A.G. Tatashev, M.V. Yashina. About synergy of flows on flower (DepCoS-RELCOMEX 2016, Brunow, Poland) Springer 75–84 (2016) [Google Scholar]
  13. A.P. Buslaev, A.G. Tatashev. Flows on discrete traffic flower. Journal of Mathematics Research (DOI 10.5539/jmr.v9n1p98) 9 (1) 98–108 (2018) [CrossRef] [Google Scholar]
  14. A.P. Buslaev, A G. Tatashev. Exact results for discrete dynamical systems on a pair of contours. Math. Meth. Appl. Sci. (DOI:10.1002/mma.4822), February (2018) [Google Scholar]
  15. A.P. Buslaev, A.G. Tatashev, M.V. Yashina. Qualitative properties of dynamical system on toroidal chainmail. (ICNAAM–2013, Rhodes, Greece) AIP Conference Proceedings 1558 1144—1147 (2013) [Google Scholar]
  16. V.V. Kozlov, A.P. Buslaev, A.G. Tatashev. Monotonic walks on a necklace and coloured dynamic vector. Int J Comput Math (DOI 1080/00207160.2014/915964) 92 (9) 1910 – 1920 (2015) [CrossRef] [Google Scholar]
  17. V.V. Kozlov, A.P. Buslaev, A.G. Tatashev. A dynamical communication system on a network J Comput Appl Math (DOI 10.1016/ 275 247–261 (2015) [CrossRef] [Google Scholar]
  18. V.V. Kozlov, A.P. Buslaev, A.G. Tatashev and M.V. Yashina. Dynamical systems on honeycombs. (Traffic and Granular Flow ’13. Springer Verlag, Heidelberg 441–452 (2015) [Google Scholar]
  19. V.V. Kozlov, A.P. Buslaev, A G, Tatashev. On real-valued oscillations of a bipendulum. Appl Math Lett (DOI 10.1016/j.aml.2015.02.003) 46 44–49 (2015) [CrossRef] [Google Scholar]
  20. A.P. Buslaev, A.G. Tatashev, M.V. Yashina. On irrational oscillations of a bipendulum (DepCoS-RELCOMEX, Brunow, Poland) Springer 365 57–63 (2015) [Google Scholar]
  21. A.P. Buslaev, M.V. Yashina. On holonomic mathematical F-bipendulum. Math. Meth. App. Sci., 39, 4820–4828(2016) [CrossRef] [Google Scholar]
  22. A. P. Buslaev, A.G. Tatashev, M.V. Yashina. Flows spectrum on closed trio of contours Eur. J. Pure Appl. Math. (DOI 10.29020/nybg.ejpam.v11i1.3201) 11 (3) 893–897 (2018). [Google Scholar]
  23. A.P. Buslaev, A.G. Tatashev, M.V. Yashina. On cellular automata, traffic, and dynamical systems in graphs. Int. J. Eng. Technol. (DOI: 10.114419/ijet.v7i2.28.13210) 7(2.28) 351–356 (2018) [Google Scholar]
  24. A.P. Buslaev, A.G. Tatashev. Spectra of local cluster flows on open chain of contours.Eur.J.PureAppl.Math.(DOI10.29020/ny/by.ejpam.v.Mi3.3292) 11 (3) 628–641 (2018) [CrossRef] [Google Scholar]

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