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Kulikov, Dmitrii Anatol'evich
Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 45
Talks: 4

Number of views:
This page:1418
Abstract pages:18315
Full texts:8783
Talk pages:1474
Video records:71
Associate professor
Candidate of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person59745
List of publications on Google Scholar
https://orcid.org/0000-0002-6307-0941

Publications in Math-Net.Ru Citations
2026
1. A. N. Kulikov, D. A. Kulikov, “Local bifurcations and traveling waves of a periodic boundary-value problem for the Benny–Lin–Kawahara equation”, Zh. Vychisl. Mat. Mat. Fiz., 66:5 (2026),  732–749  mathnet  elib
2025
2. A. N. Kulikov, D. A. Kulikov, D. G. Frolov, “Periodic traveling waves of the Kuramoto–Sivashinsky equation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 243 (2025),  25–37  mathnet
3. A. N. Kulikov, D. A. Kulikov, D. G. Frolov, “The impact of delay and competition on macroeconomic dynamics”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 242 (2025),  61–73  mathnet
4. A. N. Kulikov, D. A. Kulikov, “Periodic traveling waves in a nonlocal erosion equation”, TMF, 224:1 (2025),  93–117  mathnet  mathscinet; Theoret. and Math. Phys., 224:1 (2025), 1180–1201  isi  scopus
2024
5. A. N. Kulikov, D. A. Kulikov, D. G. Frolov, “Local bifurcations in one version of the multiplier-accelerator model”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 237 (2024),  18–33  mathnet
6. D. A. Kulikov, “Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation”, TMF, 220:1 (2024),  74–92  mathnet  mathscinet; Theoret. and Math. Phys., 220:1 (2024), 1122–1138  isi  scopus
7. A. N. Kulikov, D. A. Kulikov, “Convective Cahn–Hilliard–Oono equation”, Zh. Vychisl. Mat. Mat. Fiz., 64:10 (2024),  1977–1993  mathnet  elib; Comput. Math. Math. Phys., 64:10 (2024), 2399–2416 2
2023
8. D. A. Kulikov, “Pattern bifurcation in a nonlocal erosion equation”, Avtomat. i Telemekh., 2023, no. 11,  36–54  mathnet; Autom. Remote Control, 84:11 (2023), 1161–1174 1
9. A. N. Kulikov, D. A. Kulikov, “The influence of delay and spatial factors on the dynamics of solutions in the mathematical model “supply-demand””, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 230 (2023),  75–87  mathnet
10. A. N. Kulikov, D. A. Kulikov, D. G. Frolov, “The influence of competition on the dynamics of macroeconomic systems”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 228 (2023),  20–31  mathnet
11. A. N. Kulikov, D. A. Kulikov, “Invariant manifolds and attractors of a periodic boundary-value problem for the Kuramoto–Sivashinsky equation with allowance for dispersion”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226 (2023),  69–79  mathnet
12. D. A. Kulikov, “Features of the problem on synchronization of two van der Pol–Duffing oscillators in the case of a direct connection and the presence of symmetry”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 220 (2023),  49–60  mathnet
13. A. N. Kulikov, D. A. Kulikov, “Local attractors of one of the original versions of the Kuramoto–Sivashinsky equation”, TMF, 215:3 (2023),  339–359  mathnet  mathscinet; Theoret. and Math. Phys., 215:3 (2023), 751–768  isi  scopus
14. D. A. Kulikov, “Stability and local bifurcations of single-mode equilibrium states of the Ginzburg–Landau variational equation”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023),  240–258  mathnet
2022
15. D. A. Kulikov, “Delay effect and business cycles”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 217 (2022),  41–50  mathnet 2
16. D. A. Kulikov, O. V. Baeva, “Cycles of two competing macroeconomic systems within a certain version of the Goodwin model”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 216 (2022),  76–87  mathnet
17. A. N. Kulikov, D. A. Kulikov, D. G. Frolov, “The Keynes model of the business cycle and the problem of diffusion instability”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207 (2022),  77–90  mathnet
18. A. N. Kulikov, D. A. Kulikov, “Local bifurcations and a global attractor for two versions of the weakly dissipative Ginzburg–Landau equation”, TMF, 212:1 (2022),  40–61  mathnet  mathscinet; Theoret. and Math. Phys., 212:1 (2022), 925–943  isi  scopus 2
19. A. N. Kulikov, D. A. Kulikov, “Invariant manifolds and the global attractor of the generalised nonlocal Ginzburg-Landau equation in the case of homogeneous dirichlet boundary conditions”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 38:1 (2022),  9–27  mathnet
20. O. V. Baeva, D. A. Kulikov, “On the question of the periodic solutions of a system of differential equations describing the oscillations of two loosely coupled Van der Pol oscillators”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 4,  24–38  mathnet  elib
2021
21. A. N. Kulikov, D. A. Kulikov, “Invariant manifolds of a weakly dissipative version of the nonlocal Ginzburg–Landau equation”, Avtomat. i Telemekh., 2021, no. 2,  94–110  mathnet  elib; Autom. Remote Control, 82:2 (2021), 264–277  isi  scopus 7
22. O. V. Baeva, D. A. Kulikov, “Goodwin's business cycle model and synchronization of oscillations of two interacting economies”, Chelyab. Fiz.-Mat. Zh., 6:2 (2021),  137–151  mathnet
23. A. N. Kulikov, D. A. Kulikov, “On the possibility of implementing the Landau–Hopf scenario of transition to turbulence in the generalized model “multiplier-accelerator””, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 203 (2021),  39–49  mathnet 1
24. A. N. Kulikov, D. A. Kulikov, “Attractor of the generalized Cahn–Hilliard equation, on which all solutions are unstable”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 195 (2021),  57–67  mathnet 1
25. A. N. Kulikov, D. A. Kulikov, “Cahn–Hilliard equation with two spatial variables. Pattern formation”, TMF, 207:3 (2021),  438–457  mathnet  mathscinet  elib; Theoret. and Math. Phys., 207:3 (2021), 782–798  isi  scopus 4
2020
26. D. A. Kulikov, “On local bifurcations of spatially inhomogeneous solutions for one functional-differential equation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 186 (2020),  67–73  mathnet
27. A. N. Kulikov, D. A. Kulikov, “A possibility of realizing the Landau–Hopf scenario in the problem of tube oscillations under the action of a fluid flow”, TMF, 203:1 (2020),  78–90  mathnet  mathscinet  elib; Theoret. and Math. Phys., 203:1 (2020), 501–511  isi  scopus 6
28. A. N. Kulikov, D. A. Kulikov, “One-phase and two-phase solutions of the focusing nonlinear Schrodinger equation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2020, no. 2,  18–34  mathnet  elib
2019
29. D. A. Kulikov, “Dynamics of coupled Van der Pol oscillators”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 168 (2019),  53–60  mathnet
30. A. N. Kulikov, D. A. Kulikov, “Spatially inhomogeneous solutions in two boundary value problems for the Cahn-Hilliard equations”, Applied Mathematics & Physics, 51:1 (2019),  21–32  mathnet
31. A. N. Kulikov, D. A. Kulikov, “Local bifurcations in the Cahn–Hilliard and Kuramoto–Sivashinsky equations and in their generalizations”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  670–683  mathnet  elib; Comput. Math. Math. Phys., 59:4 (2019), 630–643  isi  scopus 19
2018
32. A. M. Kovaleva, D. A. Kulikov, “Bifurcations of Spatially Inhomogeneous Solutions in Two Versions of the Nonlocal Erosion Equation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148 (2018),  66–74  mathnet  mathscinet; J. Math. Sci. (N. Y.), 248:4 (2020), 438–447 2
33. A. N. Kulikov, D. A. Kulikov, “The Kuramoto–Sivashinsky equation. A local attractor filled with unstable periodic solutions”, Model. Anal. Inform. Sist., 25:1 (2018),  92–101  mathnet  elib 7
34. D. A. Kulikov, “Stability and local bifurcations of the Solow model with delay”, Zhurnal SVMO, 20:2 (2018),  225–234  mathnet 4
35. D. A. Kulikov, A. V. Sekatskaya, “On the influence of the geometric characteristics of the region on nanorelief structure”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28:3 (2018),  293–304  mathnet  elib 4
2017
36. A. N. Kulikov, D. A. Kulikov, “Local bifurcations in the periodic boundary value problem for the generalized Kuramoto–Sivashinsky equation”, Avtomat. i Telemekh., 2017, no. 11,  20–33  mathnet  elib; Autom. Remote Control, 78:11 (2017), 1955–1966  isi  scopus 13
2016
37. A. N. Kulikov, D. A. Kulikov, “Nonlocal model for the formation of ripple topography induced by ion bombardment. Nonhomogeneous nanostructures”, Mat. Model., 28:3 (2016),  33–50  mathnet  elib 8
2015
38. A. M. Kovaleva, A. N. Kulikov, D. A. Kulikov, “Stability and bifurcations of undulate solutions for one functional-differential equation”, Izv. IMI UdGU, 2015, no. 2(46),  60–68  mathnet  elib 2
39. A. M. Kovaleva, D. A. Kulikov, “Single-mode and dual-mode nongomogeneous dissipative structures in the nonlocal model of erosion”, Model. Anal. Inform. Sist., 22:5 (2015),  665–681  mathnet  mathscinet  elib
2012
40. D. A. Kulikov, A. S. Rudy, “Formation of a Warped Nanomodular Surface Under Ion Bombardment. A Nanoscale Model of Surface Erosion”, Model. Anal. Inform. Sist., 19:5 (2012),  40–49  mathnet 3
41. A. N. Kulikov, D. A. Kulikov, “Formation of wavy nanostructures on the surface of flat substrates by ion bombardment”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  930–945  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:4 (2012), 800–814  isi  elib  scopus 33
2011
42. A. N. Kulikov, D. A. Kulikov, A. S. Rudyi, “Bifurcation of the nanostructures induced by ion bombardment”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4,  86–99  mathnet 10
2009
43. A. N. Kulikov, D. A. Kulikov, “After critical and precritical bifurcations of progressive wave in a generalized Ginzburg–Landau equation”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 4,  71–78  mathnet 4
2008
44. D. A. Kulikov, “Bifurcations of homogeneous cycle of generalized cubic Shrodinger equation in the triangle”, Model. Anal. Inform. Sist., 15:2 (2008),  50–54  mathnet
45. A. N. Kulikov, D. A. Kulikov, “Bifurcation of autowaves of generalized cubic Schrödinger equation with three independent variables”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3,  23–34  mathnet 4

Presentations in Math-Net.Ru
1. Local bifurcations of solutions of a periodic boundary value problem for the Benney-Lin-Kawahara equation
A. N. Kulikov, D. A. Kulikov
International conference "Theory of functions and its applications" dedicated to the 120th anniversary of S. M. Nikol'skii
July 2, 2025 15:00
2. Local attractors of the Cahn-Hilliard-Oono equation
A. N. Kulikov, D. A. Kulikov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 8, 2023 13:10   
3. Attractors of the nonlocal Ginzburg–Landau equation
A. N. Kulikov, D. A. Kulikov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 7, 2021 15:00   
4. Local bifurcations in the periodic boundary value problem for the Kuramoto-Sivashinsky equation
A. N. Kulikov, D. A. Kulikov
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 16:10

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