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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1997, Volume 216, Pages 126–153 (Mi tm1002)  

This article is cited in 31 scientific papers (total in 32 papers)

Relay with delay and its C1-approximation

A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov
Received in December 1996
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Relay with delay and its C1-approximation”, Dynamical systems and related topics, Collection of articles. To the 60th anniversary of academician Dmitrii Viktorovich Anosov, Trudy Mat. Inst. Steklova, 216, Nauka, Moscow, 1997, 126–153; Proc. Steklov Inst. Math., 216 (1997), 119–146
Citation in format AMSBIB
\Bibitem{KolMisRoz97}
\by A.~Yu.~Kolesov, E.~F.~Mishchenko, N.~Kh.~Rozov
\paper Relay with delay and its $C^1$-approximation
\inbook Dynamical systems and related topics
\bookinfo Collection of articles. To the 60th anniversary of academician Dmitrii Viktorovich Anosov
\serial Trudy Mat. Inst. Steklova
\yr 1997
\vol 216
\pages 126--153
\publ Nauka
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm1002}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1632133}
\zmath{https://zbmath.org/?q=an:0916.34057}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1997
\vol 216
\pages 119--146
Linking options:
  • https://www.mathnet.ru/eng/tm1002
  • https://www.mathnet.ru/eng/tm/v216/p126
  • This publication is cited in the following 32 articles:
    1. D. D. Bain, “Periodicheskie resheniya differentsialnogo uravneniya s releinoi nelineinostyu s zapazdyvaniem”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody kraevykh zadach. Pontryaginskie chteniya—XXXIV», Voronezh, 3-9 maya 2023 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 231, VINITI RAN, M., 2024, 3–12  mathnet  crossref
    2. D. S. Glyzin, S. D. Glyzin, A. Yu. Kolesov, “Novyi podkhod k matematicheskomu modelirovaniyu khimicheskikh sinapsov”, Izvestiya vuzov. PND, 32:3 (2024), 376–393  mathnet  crossref
    3. V. V. Alekseev, M. M. Preobrazhenskaia, “Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation”, Theoret. and Math. Phys., 220:2 (2024), 1241–1261  mathnet  crossref  crossref  mathscinet  adsnasa
    4. M. M. Preobrazhenskaya, “Discrete traveling waves in a relay system of Mackey–Glass equations with two delays”, Theoret. and Math. Phys., 207:3 (2021), 827–840  mathnet  crossref  crossref  adsnasa  isi  elib
    5. Glyzin S.D., Kolesov A.Yu., “Periodic Modes of Group Dominance in Fully Coupled Neural Networks”, Izv. Vyss. Uchebn. Zaved.-Prikl. Nelineynaya Din., 29:5 (2021), 775–798  crossref  isi
    6. Preobrazhenskaia M.M., “Antiphase Mode in a Pair of Mackey-Glass Type Generators With Two Delays”, IFAC PAPERSONLINE, 54:17 (2021), 145–148  crossref  isi
    7. M. M. Preobrazhenskaya, “A relay Mackey–Glass model with two delays”, Theoret. and Math. Phys., 203:1 (2020), 524–534  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    8. V. E. Goryunov, M. M. Preobrazhenskaya, “Kvaziustoichivost sosuschestvuyuschikh attraktorov neirodinamicheskoi modeli s zapazdyvaniem”, Materialy Voronezhskoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy». 28 yanvarya–2 fevralya 2019 g. Chast 4, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 173, VINITI RAN, M., 2019, 26–47  mathnet  crossref
    9. Preobrazhenskaia M.M., “The Impulse-Refractive Mode in a Neural Network With Ring Synaptic Interaction”, Autom. Control Comp. Sci., 52:7 (2018), 777–789  crossref  isi  scopus
    10. S. D. Glyzin, A. Yu. Kolesov, E. A. Marushkina, “Relaksatsionnye avtokolebaniya v sisteme iz dvukh sinapticheski svyazannykh impulsnykh neironov”, Model. i analiz inform. sistem, 24:1 (2017), 82–93  mathnet  crossref  mathscinet  elib
    11. M. M. Preobrazhenskaya, “Relaksatsionnye tsikly v modeli sinapticheski vzaimodeistvuyuschikh ostsillyatorov”, Model. i analiz inform. sistem, 24:2 (2017), 186–204  mathnet  crossref  elib
    12. M. M. Preobrazhenskaya, “Impulsno-refrakternyi rezhim v koltsevoi tsepi sinapticheski svyazannykh ostsillyatorov neironnogo tipa”, Model. i analiz inform. sistem, 24:5 (2017), 550–566  mathnet  crossref  elib
    13. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “Periodic solutions of travelling-wave type in circular gene networks”, Izv. Math., 80:3 (2016), 523–548  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    14. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffering in cyclic gene networks”, Theoret. and Math. Phys., 187:3 (2016), 935–951  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    15. Glyzin S.D. Kolesov A.Yu. Rozov N.Kh., “Self-Sustained Relaxation Oscillations in Time-Delay Neural Systems”, Murphys-Hsfs-2014: 7Th International Workshop on Multi-Rate Processes & Hysteresis (Murphys) & the 2Nd International Workshop on Hysteresis and Slow-Fast Systems (Hsfs), Journal of Physics Conference Series, 727, ed. Klein O. Dimian M. Gurevich P. Knees D. Rachinskii D. Tikhomirov S., IOP Publishing Ltd, 2016, UNSP 012004  crossref  isi  scopus  scopus
    16. Glyzin S.D., Kolesov A.Yu., Rozov N.Kh., “Periodic two-cluster synchronization modes in completely connected genetic networks”, Differ. Equ., 52:2 (2016), 157–176  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    17. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Self-excited relaxation oscillations in networks of impulse neurons”, Russian Math. Surveys, 70:3 (2015), 383–452  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    18. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Avtovolnovye protsessy v koltsevoi neironnoi tsepi s odnonapravlennoi svyazyu”, Model. i analiz inform. sistem, 22:3 (2015), 404–419  mathnet  crossref  mathscinet  elib
    19. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The buffer phenomenon in ring-like chains of unidirectionally connected generators”, Izv. Math., 78:4 (2014), 708–743  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    20. Yu. V. Bogomolov, S. D. Glyzin, A. Yu. Kolesov, “O chisle sosuschestvuyuschikh avtovolnovykh reshenii tsepochki diffuzionno svyazannykh ostsillyatorov neironnogo tipa”, Model. i analiz inform. sistem, 21:5 (2014), 162–180  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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