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Russian Mathematical Surveys, 2000, Volume 55, Issue 3, Pages 562–563
DOI: https://doi.org/10.1070/rm2000v055n03ABEH000295
(Mi rm295)
 

This article is cited in 31 scientific papers (total in 31 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

Exact analysis of dynamical systems arising in models of traffic flow

M. L. Blank

Institute for Information Transmission Problems, Russian Academy of Sciences
References:
Accepted: 03.04.2000
Bibliographic databases:
Document Type: Article
MSC: 90B20
Language: English
Original paper language: Russian
Citation: M. L. Blank, “Exact analysis of dynamical systems arising in models of traffic flow”, Russian Math. Surveys, 55:3 (2000), 562–563
Citation in format AMSBIB
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\by M.~L.~Blank
\paper Exact analysis of dynamical systems arising in models of traffic flow
\jour Russian Math. Surveys
\yr 2000
\vol 55
\issue 3
\pages 562--563
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\crossref{https://doi.org/10.1070/rm2000v055n03ABEH000295}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2000RuMaS..55..562B}
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Linking options:
  • https://www.mathnet.ru/eng/rm295
  • https://doi.org/10.1070/rm2000v055n03ABEH000295
  • https://www.mathnet.ru/eng/rm/v55/i3/p167
  • This publication is cited in the following 31 articles:
    1. A. G. Tatashev, M. V. Yashina, “Optimalnoe pravilo razresheniya konkurentsii dlya upravlyaemoi binarnoi tsepochki”, Vladikavk. matem. zhurn., 26:1 (2024), 142–153  mathnet  crossref
    2. Marina V. Yashina, Alexander G. Tatashev, “Loading conditions for self‐organization in the BML model with stochastic direction choice”, Math Methods in App Sciences, 2024  crossref
    3. A. S. Bugaev, M. V. Yashina, A. G. Tatashev, “O skorosti potoka na regulyarnoi neodnorodnoi otkrytoi odnomernoi seti s nesimmetrichnym raspolozheniem uzlov”, Avtomat. i telemekh., 2023, no. 9, 106–119  mathnet  crossref
    4. A. S. Bugaev, M. V. Yashina, A. G. Tatashev, “Velocity of Flow on Regular Non-Homogeneous Open One-Dimensional Net with Non-Symmetrical Arrangement of Nodes”, Autom Remote Control, 84:9 (2023), 974  crossref
    5. M. V. Yashina, S. A. Biruykov, R. V. Strekalov, 2023 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO, 2023, 1  crossref
    6. M. V. Yashina, A. G. Tatashev, A. S. Dotkulova, D. A. Afanas'eva, “Model of Traffic Flow with Different Types of Vehicles on Multilane Highway Section Ahead of Exit”, Russ. Engin. Res., 42:11 (2022), 1207  crossref
    7. Valery Kozlov, Alexander Tatashev, Marina Yashina, “Elementary Cellular Automata as Invariant under Conjugation Transformation or Combination of Conjugation and Reflection Transformations, and Applications to Traffic Modeling”, Mathematics, 10 (2022), 3541–18  mathnet  crossref
    8. A. S. Bugaev, A. G. Tatashev, M. V. Yashina, “Spectrum of a continuous closed symmetric chain with an arbitrary number of contours”, Math. Models Comput. Simul., 13:6 (2021), 1014–1027  mathnet  crossref  crossref
    9. P. A. Myshkis, A. G. Tatashev, M. V. Yashina, “Diskretnaya zamknutaya odnochastichnaya tsepochka konturov”, PDM, 2021, no. 52, 114–125  mathnet  crossref
    10. Yashina M.V., Tatashev A.G., “Invariant Measure For Continuous Open Chain of Contours With Discrete Time”, Comput. Math. Methods, 3:6 (2021), e1197  crossref  isi
    11. Buslaev A., Tatashev A., Yashina M., “Flow Spectrum of Closed/Open Contours Chains”, Comput. Math. Methods, 3:3 (2021), e1087  crossref  isi
    12. M. V. Yashina, A. G. Tatashev, Ngoulou Ngoulou-A-Ndzeli, 2021 International Conference on Engineering Management of Communication and Technology (EMCTECH), 2021, 1  crossref
    13. M. V. Yashina, A. G. Tatashev, “Evaluation of Highway Traffic Intensity with Different Vehicle Types”, Russ. Engin. Res., 41:6 (2021), 545  crossref
    14. Yashina M.V., Tatashev A.G., “Spectral Cycles and Average Velocity of Clusters in Discrete Two-Contours System With Two Nodes”, Math. Meth. Appl. Sci., 43:7 (2020), 4303–4316  crossref  mathscinet  isi
    15. Myshkis P.A., Tatashev A.G., Yashina V M., “Cluster Motion in a Two-Contour System With Priority Rule For Conflict Resolution”, J. Comput. Syst. Sci. Int., 59:3 (2020), 311–321  crossref  mathscinet  isi
    16. Khachatryan N.K., Beklaryan G.L., Borisova S.V., Belousov F.A., “Research Into the Dynamics of Railway Track Capacities in a Model For Organizing Cargo Transportation Between Two Node Stations”, Bizn. Inform., 13:1 (2019), 59–70  crossref  isi
    17. Tatashev A.G., Yashina M.V., Amcse 2018 - International Conference on Applied Mathematics, Computational Science and Systems Engineering, Itm Web of Conferences, 24, ed. Bardis N., E D P Sciences, 2019  crossref  isi
    18. Tatashev A., Yashina M., “Spectrum of Elementary Cellular Automata and Closed Chains of Contours”, Machines, 7:2 (2019), 28  crossref  isi
    19. Tatashev A.G., Yashina M.V., Second International Conference on Physics, Mathematics and Statistics, Journal of Physics Conference Series, 1324, ed. Huang X., IOP Publishing Ltd, 2019  crossref  isi
    20. Yashina M., Tatashev A., “Discrete Open Buslaev Chain With Heterogenous Loading”, 2019 IEEE 7Th International Conference on Control, Mechatronics and Automation (Iccma 2019), IEEE, 2019, 283–288  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:650
    Russian version PDF:308
    English version PDF:55
    References:75
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