Kulikov Anatolii Nikolaevich

Publications in Math-Net.Ru

1. On the uniqueness problem for a central invariant manifold
   
   TMF, 220:1 (2024),  59–73
2. 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
3. The influence of competition on the dynamics of macroeconomic systems
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 228 (2023),  20–31
4. 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
5. Local attractors of one of the original versions of the Kuramoto–Sivashinsky equation
   
   TMF, 215:3 (2023),  339–359
6. Invariant tori of the weakly dissipative version of the Ginzburg—Landau equation
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 216 (2022),  66–75
7. 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
8. Local bifurcations and a global attractor for two versions of the weakly dissipative Ginzburg–Landau equation
   
   TMF, 212:1 (2022),  40–61
9. 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
10. Invariant manifolds of a weakly dissipative version of the nonlocal Ginzburg–Landau equation
    
    Avtomat. i Telemekh., 2021, no. 2,  94–110
11. 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
12. 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
13. Cahn–Hilliard equation with two spatial variables. Pattern formation
    
    TMF, 207:3 (2021),  438–457
14. Inertial invariant manifolds of a nonlinear semigroup of operators in a Hilbert space
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 186 (2020),  57–66
15. 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
16. 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
17. Bifurcations of invariant tori in second-order quasilinear evolution equations in Hilbert spaces and scenarios of transition to turbulence
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 168 (2019),  45–52
18. Local bifurcations in the Cahn–Hilliard and Kuramoto–Sivashinsky equations and in their generalizations
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  670–683
19. Local Attractors in One Boundary-Value Problem for the Kuramoto–Sivashinsky Equation
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148 (2018),  58–65
20. The Kuramoto–Sivashinsky equation. A local attractor filled with unstable periodic solutions
    
    Model. Anal. Inform. Sist., 25:1 (2018),  92–101
21. Local bifurcations in the periodic boundary value problem for the generalized Kuramoto–Sivashinsky equation
    
    Avtomat. i Telemekh., 2017, no. 11,  20–33
22. Nonlocal model for the formation of ripple topography induced by ion bombardment. Nonhomogeneous nanostructures
    
    Matem. Mod., 28:3 (2016),  33–50
23. Stability and bifurcations of undulate solutions for one functional-differential equation
    
    Izv. IMI UdGU, 2015, no. 2(46),  60–68
24. Formation of wavy nanostructures on the surface of flat substrates by ion bombardment
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  930–945
25. Resonances in the problem of the panel flutter in a supersonic gas flow
    
    Model. Anal. Inform. Sist., 18:1 (2011),  56–67
26. Bifurcation of the nanostructures induced by ion bombardment
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4,  86–99
27. 1 : 3 Resonance is a possible cause of nonlinear panel flutter
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011),  1266–1279
28. Business cycles and torus in the non-homogeneous multiplier-accelerator model
    
    Model. Anal. Inform. Sist., 16:4 (2009),  86–95
29. 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
30. Spatial non-homogeneous invariant tori in the Multiplier-Accelerator model
    
    Model. Anal. Inform. Sist., 15:1 (2008),  45–50
31. Travelling waves bifurcation of the modified Ginzburg-Landau's equation
    
    Model. Anal. Inform. Sist., 15:1 (2008),  10–15
32. The attractors of two boundary value problems for a modifieded nonlinear telegraph equation
    
    Nelin. Dinam., 4:1 (2008),  57–68
33. Bifurcation of autowaves of generalized cubic Schrödinger equation with three independent variables
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 3,  23–34
34. Attractors of Singularly Perturbed Parabolic Systems of First Degree of Nonroughness in a Plane Domain
    
    Mat. Zametki, 75:5 (2004),  663–669
35. Invariant Tori of a Class of Point Transformations: Preservation of an Invariant Torus Under Perturbations
    
    Differ. Uravn., 39:6 (2003),  738–753
36. Invariant Tori of a Class of Point Mappings: The Annulus Principle
    
    Differ. Uravn., 39:5 (2003),  584–601
37. Attractors of a Nonlinear Boundary Value Problem Arising in Aeroelasticity
    
    Differ. Uravn., 37:3 (2001),  397–401
38. Bifurcation of auto-oscillations in the classical system of telegraph equations with a nonclassical nonlinear boundary condition
    
    Mat. Zametki, 66:6 (1999),  948–951
39. An analogue of the Hopf bifurcation theorem in a problem on the mathematical investigation of a nonlinear panel flutter with a small damping coefficient
    
    Differ. Uravn., 29:5 (1993),  780–785
40. Nonlinear flutter panel: the risk of hard excitation of vibrations
    
    Differ. Uravn., 28:6 (1992),  1080–1082
41. Convex optimization with prescribed accuracy
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990),  663–671
42. A finite method for solving systems of convex inequalities
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 11,  59–63


43. In memory of Terekhin Mihail Tihonovich
    
    Zhurnal SVMO, 23:1 (2021),  110–111
44. To the eighty-fifth anniversary of Mikhail Tikhonovich Terekhin
    
    Zhurnal SVMO, 21:1 (2019),  114–115