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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
D. A. Kulikov, “Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation”, TMF, 220:1 (2024), 74–92 ; Theoret. and Math. Phys., 220:1 (2024), 1122–1138 |
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2023 |
2. |
D. A. Kulikov, “Pattern bifurcations in the nonlocal erosion equation”, Avtomat. i Telemekh., 2023, no. 11, 36–54 |
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3. |
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 |
4. |
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 |
5. |
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 |
6. |
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 |
7. |
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 ; Theoret. and Math. Phys., 215:3 (2023), 751–768 |
8. |
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 |
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2022 |
9. |
D. A. Kulikov, “Delay effect and business cycles”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 217 (2022), 41–50 |
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10. |
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 |
11. |
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 |
12. |
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 ; Theoret. and Math. Phys., 212:1 (2022), 925–943 |
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13. |
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 |
14. |
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 |
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2021 |
15. |
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 ; Autom. Remote Control, 82:2 (2021), 264–277 |
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16. |
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 |
17. |
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 |
18. |
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 |
19. |
A. N. Kulikov, D. A. Kulikov, “Cahn–Hilliard equation with two spatial variables. Pattern formation”, TMF, 207:3 (2021), 438–457 ; Theoret. and Math. Phys., 207:3 (2021), 782–798 |
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2020 |
20. |
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 |
21. |
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 ; Theoret. and Math. Phys., 203:1 (2020), 501–511 |
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22. |
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 |
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2019 |
23. |
D. A. Kulikov, “Dynamics of coupled Van der Pol oscillators”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 168 (2019), 53–60 |
24. |
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 |
25. |
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 ; Comput. Math. Math. Phys., 59:4 (2019), 630–643 |
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2018 |
26. |
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 ; J. Math. Sci. (N. Y.), 248:4 (2020), 438–447 |
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27. |
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 |
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28. |
D. A. Kulikov, “Stability and local bifurcations of the Solow model with delay”, Zhurnal SVMO, 20:2 (2018), 225–234 |
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29. |
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 |
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2017 |
30. |
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 ; Autom. Remote Control, 78:11 (2017), 1955–1966 |
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2016 |
31. |
A. N. Kulikov, D. A. Kulikov, “Nonlocal model for the formation of ripple topography induced by ion bombardment. Nonhomogeneous nanostructures”, Matem. Mod., 28:3 (2016), 33–50 |
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2015 |
32. |
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 |
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33. |
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 |
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2012 |
34. |
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 |
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35. |
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 ; Comput. Math. Math. Phys., 52:4 (2012), 800–814 |
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2011 |
36. |
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 |
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2009 |
37. |
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 |
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2008 |
38. |
D. A. Kulikov, “Bifurcations of homogeneous cycle of generalized cubic Shrodinger equation in the triangle”, Model. Anal. Inform. Sist., 15:2 (2008), 50–54 |
39. |
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 |
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Presentations in Math-Net.Ru |
1. |
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
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2. |
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
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3. |
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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