Full list of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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2024 |
1. |
E. O. Burlakov, V. M. Verkhlyutov, I. N. Malkov, “On well-posedness of a mathematical model of evoked activity in the primary visual cortex”, Russian Universities Reports. Mathematics, 29:145 (2024), 43–50 |
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2023 |
2. |
H. Bergland, E. Burlakov, J. Wyller, “The Dynamics of Pasture–Herbivores–Carnivores with Sigmoidal Density Dependent Harvesting”, Bulletin of Mathematical Biology, 2023, 104 , 58 pp. |
3. |
E. O. Burlakov, I. N. Malkov, “Mathematical modeling in the problem of developing an effective method for controlling fusarium of wheat ear”, Russian Universities Reports. Mathematics, 28:143 (2023), 236–244 |
4. |
V. Verkhlyutov, E. Burlakov, V. Vvedensky, K. Gurtovoy, V. Ushakov, “Recognition of Spoken Words from MEG Data Using Covariance Patterns”, Advances in Neural Computation, Machine Learning, and Cognitive Research VII, Studies in Computational Intelligence, 1120, Springer, 2023, 165–172 |
5. |
E. Zhukovskiy, E. Burlakov, I. Malkov, “Caristi-type conditions in constraint minimisation of mappings in metric and partially ordered spaces”, Set-Valued and Variational Analysis, 31 (2023), 35 , 23 pp. https://rdcu.be/dpozt |
6. |
E. Burlakov, I. Malkov, “On Bi-Laminar Neural Field Models of Electrical Activity in the Primary Visual Cortex”, Advances in Systems Science and Applications, 23:3 (2023), 177–190 |
7. |
V. M. Verkhlyutov, E. O. Burlakov, K. G. Gurtovoi, V. L. Vvedenskii, “Raspoznavanie ustnoi rechi po dannym MEG s ispolzovaniem kovariatsionnykh filtrov”, Zhurnal vysshei nervnoi deyatelnosti im. I. P. Pavlova, 6 (2023), 800–808 |
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2022 |
8. |
E. Burlakov, V. Verkhlyutov, V. Ushakov, “A Simple Human Brain Model Reproducing Evoked MEG Based on Neural Field Theory”, Advances in Neural Computation, Machine Learning, and Cognitive Research V, Studies in Computational Intelligence, 1008, eds. B. Kryzhanovsky, W. Dunin-Barkowski, V. Redko, Y. Tiumentsev, V.V. Klimov, Springer, 2022, 109–116
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3
[x]
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9. |
R. Atmania, E. O. Burlakov, I. N. Malkov, “On existence and stability of ring solutions to Amari neural field equation with periodic microstructure and Heaviside activation function”, Russian Universities Reports. Mathematics, 27:140 (2022), 318–327 |
10. |
E. O. Burlakov, E. A. Panasenko, I. D. Serova, E. S. Zhukovskiy, “On order covering set-valued mappings and their applications to the investigation of implicit differential inclusions and dynamic models of economic processes”, Advances in Systems Science and Applications, 22:1 (2022), 176–191 |
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2021 |
11. |
E. Burlakov, “On inclusions arising in neural field modeling”, Differential Equations and Dynamical Systems, 29:4 (2021), 765–787
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5
[x]
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12. |
E. Burlakov, V. Verkhlyutov, V. Ushakov, B. Velichkovskiy, “Comparison of Simulated Macro- and Mesoscopic Cortical Traveling Waves with MEG Data”, Advances in Cognitive Research, Artificial Intelligence and Neuroinformatics, Advances in Intelligent Systems and Computing, 1358, eds. B.M. Velichkovsky, P.M. Balaban, V.L. Ushakov, Springer, 2021, 700–708
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1
[x]
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13. |
E. O. Burlakov, F. B. Kayumov, I. D. Serova, “Numerical assessment of the spread dynamics of the new coronavirus infection sars-cov-2 using multicompartmental models with distributed parameters”, Russian Universities Reports. Mathematics, 26:134 (2021), 109–120 |
14. |
E. O. Burlakov, T. V. Zhukovskaya, E. S. Zhukovskiy, N. P. Puchkov, “On Continuous and Discontinuous Models of Neural Fields”, Journal of Mathematical Sciences, 259:3 (2021), 272–282
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1
[x]
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15. |
E. O. Burlakov, T. V. Zhukovskaya, E. S. Zhukovskiy, N. P. Puchkov, “Applications of Covering Mappings in the Theory of Implicit Differential Equations”, Journal of Mathematical Sciences, 259:3 (2021), 283–295 |
16. |
R. Atmania, E. O. Burlakov, I. N. Malkov, “On ring solutions of neural field equations”, Russian Universities Reports. Mathematics, 26:136 (2021), 363–371 |
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2020 |
17. |
E. O. Burlakov, I. N. Malkov, “O svyazi nepreryvnykh i razryvnykh modelei neironnykh polei s mikrostrukturoi: II. Radialno simmetrichnye statsionarnye resheniya v 2D («bampy»)”, Vestnik rossiiskikh universitetov. Matematika, 25:129 (2020), 6–17
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3
[x]
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18. |
E. O. Burlakov, E. A. Pluzhnikova, “On Implicit Abstract Volterra Equations in Metric Spaces”, Mathematical Analysis With Applications, Springer Proceedings in Mathematics & Statistics, 318, eds. S. Pinelas, A. Kim, V. Vlasov, Springer, 2020, 13–23 https://link.springer.com/chapter/10.1007/978-3-030-42176-2_2 |
19. |
E. O. Burlakov, E. S. Zhukovskiy, “On Abstract Volterra Equations in Partially Ordered Spaces and Their Applications”, Mathematical Analysis With Applications, Springer Proceedings in Mathematics & Statistics, 318, eds. S. Pinelas, A. Kim, V. Vlasov, Springer, 2020, 3–11 https://link.springer.com/chapter/10.1007/978-3-030-42176-2_1
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2
[x]
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20. |
E. Burlakov, E. Zhukovskiy, V. Verkhlyutov, “Neural field equations with neuron-dependent Heaviside-type activation function and spatial-dependent delay”, Mathematical Methods in the Applied Sciences, 2020, 1–9 (Published online)
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5
[x]
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21. |
H. Bergland, E. Burlakov, P. A. Pedersen, J. Wyller, “Aquaculture, pollution and fishery - dynamics of marine industrial interactions”, Ecological Complexity, 43 (2020), 100853 (Published online)
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13
[x]
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22. |
E. Burlakov, V. Verkhlyutov, I. Malkov, V. Ushakov, “Assessment of Cortical Travelling Waves Parameters Using Radially Symmetric Solutions to Neural Field Equations with Microstructure”, Advances in Neural Computation, Machine Learning, and Cognitive Research IV, Studies in Computational Intelligence, 925, eds. B. Kryzhanovsky, W. Dunin-Barkowski, V. Redko, Yu. Tiumentsev, Springer, 2020, 51–57
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2
[x]
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23. |
A. V. Arutyunov, M. V. Borzova, E. O. Burlakov, A. A. Grigorenko, E. S. Zhukovskiy, S. E. Zhukovskiy, V. P. Maksimov, E. A. Panasenko, E. A. Pluzhnikova, A. V. Ponosov, V. M. Tikhomirov, O. V. Filippova, I. A. Finogenko, Yu. G. Fomicheva, A. G. Chentsov, A. I. Shindyapin, “In memory of professor Alexander Ivanovich Bulgakov”, Russian Universities Reports. Mathematics, 25:129 (2020), 100–102 |
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2019 |
24. |
H. Bergland, J. Wyller, E. Burlakov, “Pasture-livestock dynamics with density-dependent harvest and changing environment”, Natural Resource Modeling, 32:4 (2019), e12213 https://onlinelibrary.wiley.com/doi/full/10.1111/nrm.12213
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3
[x]
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25. |
E. O. Burlakov, T. V. Zhukovskaya, E. S. Zhukovskiy, N. P. Puchkov, “Applications of covering mappings in the theory of implicit differential equations”, Proceedings of the IV International Scientific Conference “Actual Problems of Applied Mathematics”. Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 165, VINITI, Moscow, 2019, 21–33 |
26. |
E. O. Burlakov, T. V. Zhukovskaya, E. S. Zhukovskiy, N. P. Puchkov, “On continuous and discontinuous models of neural fields”, Proceedings of the IV International Scientific Conference “Actual Problems of Applied Mathematics”. Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 165, VINITI, Moscow, 2019, 10–20 |
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2018 |
27. |
E. O. Burlakov, M. A. Nasonkina, “On connection between continuous and discontinuous neural field models with microstructure I. General theory”, Tambov University Reports. Series: Natural and Technical Sciences, 23:121 (2018), 17–30 |
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2017 |
28. |
E. O. Burlakov, E. S. Zhukovskiy, “On Volterra operator inclusions and differential inclusions with deviating argument”, Tambov University Reports. Series: Natural and Technical Sciences, 22:3 (2017), 501–507 |
29. |
E. O. Burlakov, “Volterra operator inclusions in the theory of generalized neural field models with control. ii”, Tambov University Reports. Series: Natural and Technical Sciences, 22:1 (2017), 7–12 |
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2016 |
30. |
E. O. Burlakov, E. S. Zhukovskii, “On well-posedness of generalized neural field equations with impulsive control”, Russian Mathematics (Iz VUZ), 60:5 (2016), 66–69 |
31. |
E. Burlakov, J. Wyller, A. Ponosov, “Two-dimensional Amari neural field model with periodic microstructure: Rotationally symmetric bump solutions”, Communications in Nonlinear Science and Numerical Simulation, 32 (2016), 81–88
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9
[x]
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32. |
E. Burlakov, A. Ponosov, J. Wyller, “Stationary solutions of continuous and discontinuous neural field equations”, Journal of Mathematical Analysis and Applications, 444:1 (2016), 47–68
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11
[x]
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2015 |
33. |
E. Burlakov, E. Zhukovskiy, A. Ponosov, J. Wyller, “On Wellposedness of Generalized Neural Field Equations with Delay”, Jour. Abstr. Differ. Equ. Appl., 6:1 (2015), 51–80 http://math-res-pub.org/jadea/6/1/wellposedness-generalized-neural-field-equations-delay |
34. |
E. Burlakov, E. Zhukovskiy, A. Ponosov, J. Wyller, “Existence, uniqueness and continuous dependence on parameters of solutions to neural field equations”, Memoirs on Differential Equations and Mathematical Physics, 65 (2015), 35–55 |
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2010 |
35. |
E. O. Burlakov, E. S. Zhukovskii, “The continuous dependence of solutions to Volterra equations with locally contracting operators on parameters”, Russian Math. (Iz. VUZ), 54:8 (2010), 12–23 |
36. |
E. O. Burlakov, E. S. Zhukovskii, “On a correctness of boundary value problems and continuous dependence of periodic solutions of controllable systems on parameters”, Bulletin of Udmurt University. Mathematics, Mechanics, Computer Science, 2010, no. 1, 11–21 |
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2008 |
37. |
E. O. Burlakov, E. S. Zhukovskii, “On the correctness of controllable systems with delay”, Bulletin of Udmurt University. Mathematics, Mechanics, Computer Science, 2008, no. 2, 27–29 |
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