Kulikov Dmitrii Anatol'evich

Publications in Math-Net.Ru

1. Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation
   
   TMF, 220:1 (2024),  74–92
2. Pattern bifurcations in the nonlocal erosion equation
   
   Avtomat. i Telemekh., 2023, no. 11,  36–54
3. 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. The influence of competition on the dynamics of macroeconomic systems
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 228 (2023),  20–31
5. 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. 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. Local attractors of one of the original versions of the Kuramoto–Sivashinsky equation
   
   TMF, 215:3 (2023),  339–359
8. 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
9. Delay effect and business cycles
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 217 (2022),  41–50
10. 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. 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. Local bifurcations and a global attractor for two versions of the weakly dissipative Ginzburg–Landau equation
    
    TMF, 212:1 (2022),  40–61
13. 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. 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
15. Invariant manifolds of a weakly dissipative version of the nonlocal Ginzburg–Landau equation
    
    Avtomat. i Telemekh., 2021, no. 2,  94–110
16. Goodwin's business cycle model and synchronization of oscillations of two interacting economies
    
    Chelyab. Fiz.-Mat. Zh., 6:2 (2021),  137–151
17. 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. 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. Cahn–Hilliard equation with two spatial variables. Pattern formation
    
    TMF, 207:3 (2021),  438–457
20. 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 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
22. 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
23. Dynamics of coupled Van der Pol oscillators
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 168 (2019),  53–60
24. Spatially inhomogeneous solutions in two boundary value problems for the Cahn-Hilliard equations
    
    Applied Mathematics & Physics, 51:1 (2019),  21–32
25. Local bifurcations in the Cahn–Hilliard and Kuramoto–Sivashinsky equations and in their generalizations
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  670–683
26. 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
27. The Kuramoto–Sivashinsky equation. A local attractor filled with unstable periodic solutions
    
    Model. Anal. Inform. Sist., 25:1 (2018),  92–101
28. Stability and local bifurcations of the Solow model with delay
    
    Zhurnal SVMO, 20:2 (2018),  225–234
29. 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
30. Local bifurcations in the periodic boundary value problem for the generalized Kuramoto–Sivashinsky equation
    
    Avtomat. i Telemekh., 2017, no. 11,  20–33
31. Nonlocal model for the formation of ripple topography induced by ion bombardment. Nonhomogeneous nanostructures
    
    Matem. Mod., 28:3 (2016),  33–50
32. Stability and bifurcations of undulate solutions for one functional-differential equation
    
    Izv. IMI UdGU, 2015, no. 2(46),  60–68
33. Single-mode and dual-mode nongomogeneous dissipative structures in the nonlocal model of erosion
    
    Model. Anal. Inform. Sist., 22:5 (2015),  665–681
34. Formation of a Warped Nanomodular Surface Under Ion Bombardment. A Nanoscale Model of Surface Erosion
    
    Model. Anal. Inform. Sist., 19:5 (2012),  40–49
35. Formation of wavy nanostructures on the surface of flat substrates by ion bombardment
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  930–945
36. Bifurcation of the nanostructures induced by ion bombardment
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4,  86–99
37. 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
38. Bifurcations of homogeneous cycle of generalized cubic Shrodinger equation in the triangle
    
    Model. Anal. Inform. Sist., 15:2 (2008),  50–54
39. Bifurcation of autowaves of generalized cubic Schrödinger equation with three independent variables
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3,  23–34