RUS  ENG
Full version
PEOPLE

Kolesov Yurii Serafimovich

Publications in Math-Net.Ru

  1. Bifurcation of cycles of automatic control systems with ideal relay

    Avtomat. i Telemekh., 2010, no. 11,  38–54
  2. Features of the dynamics of nonlinear waves in plane domains

    Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009),  628–645
  3. The structure of the characteristic polynomials of matrices with non-negative elements

    Izv. RAN. Ser. Mat., 71:1 (2007),  5–16
  4. Динамика простейшей модели системы реакция-диффузия

    Model. Anal. Inform. Sist., 14:1 (2007),  19–26
  5. Integration of telegraph equations

    Differ. Uravn., 42:5 (2006),  620–629
  6. Proof of Levin's Half-Period Theorem

    Differ. Uravn., 41:8 (2005),  1125–1127
  7. Similarity and difference in the dynamics of plane and 3-dimensional non-linear waves

    Mat. Sb., 196:2 (2005),  57–84
  8. On the Nature of Buffering

    Mat. Zametki, 74:2 (2003),  238–241
  9. Justification of the method of quasinormal forms for Hutchinson's equation with a small diffusion coefficient

    Izv. RAN. Ser. Mat., 65:4 (2001),  111–132
  10. Stability conditions for the inverted pendulum whose suspension point performs decaying vibrations of a special form

    Differ. Uravn., 36:2 (2000),  152–157
  11. The attractor problem for nonlinear wave equations in plane domains

    Mat. Zametki, 68:2 (2000),  217–229
  12. Non-classical relaxation cycle of a three-dimensional system of Lotka–Volterra equations

    Mat. Sb., 191:4 (2000),  91–106
  13. Bifurcation of auto-oscillations in the classical system of telegraph equations with a nonclassical nonlinear boundary condition

    Mat. Zametki, 66:6 (1999),  948–951
  14. High-mode parametric resonance in the problem of increasing stability by vibrations of elastic systems

    Uspekhi Mat. Nauk, 54:5(329) (1999),  161–162
  15. Parametric oscillations of a singularly perturbed telegraph equation with a pendulum non-linearity

    Mat. Sb., 189:3 (1998),  69–82
  16. The problem of damping auto-oscillations

    Dokl. Akad. Nauk, 352:1 (1997),  23–25
  17. Stability properties of cycles and tori of a simplest nonresonant wave-type equation

    Mat. Zametki, 62:5 (1997),  744–750
  18. Chaos of 'split torus' type in three-dimensional relaxation systems

    Mat. Sb., 188:11 (1997),  3–18
  19. Bifurcation of auto-oscillations in a special case, close to critical, of a multiple pair of pure imaginary roots with a Jordan box

    Uspekhi Mat. Nauk, 50:6(306) (1995),  185–186
  20. Asymptotics and stability of non-linear parametric oscillations of a singularly perturbed telegraph equation

    Mat. Sb., 186:10 (1995),  57–72
  21. Duck cycles of differential-difference equations

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 1,  12–17
  22. Attractors of resonance wave type equations: Discontinuous oscillations

    Mat. Zametki, 56:1 (1994),  41–49
  23. A special relaxation cycle of a system of differential-difference equations

    Izv. RAN. Ser. Mat., 57:6 (1993),  227–237
  24. Construction of a matrix with nonnegative elements from its spectrum

    Mat. Zametki, 53:1 (1993),  143–145
  25. Bifurcation of invariant tori of parabolic systems with small diffusion

    Mat. Sb., 184:3 (1993),  121–136
  26. Relaxational oscillations in mathematical models of ecology

    Trudy Mat. Inst. Steklov., 199 (1993),  3–124
  27. The relaxation character of the interaction of a strongly fertile population with its food base with moderate natural fluctuations

    Differ. Uravn., 28:12 (1992),  2182–2184
  28. Relaxation cycles of differential-difference equations

    Izv. RAN. Ser. Mat., 56:4 (1992),  790–812
  29. Relaxation cycles in systems with delay

    Mat. Sb., 183:8 (1992),  141–159
  30. Analysis of a mathematical model in ecology

    Dokl. Akad. Nauk SSSR, 316:3 (1991),  577–580
  31. Nonlinear parametric resonance in a singularly perturbed telegraph equation

    Differ. Uravn., 27:10 (1991),  1828–1829
  32. Bifurcation of self-induced oscillations of a singularly perturbed wave equation

    Dokl. Akad. Nauk SSSR, 315:2 (1990),  281–283
  33. The Bogolyubov–Mitropol'skii reduction principle in the problem of parametric excitation of autowaves

    Dokl. Akad. Nauk SSSR, 307:4 (1989),  837–840
  34. The attractor of a bilocal model of the Hutchinson equation with diffusion for a large coefficient of linear growth

    Dokl. Akad. Nauk SSSR, 307:2 (1989),  351–353
  35. A mixing attractor in relaxation systems

    Dokl. Akad. Nauk SSSR, 306:1 (1989),  38–40
  36. Chaos phenomena in three-dimensional relaxation systems

    Mat. Zametki, 46:2 (1989),  153–155
  37. Multidimensional relaxation oscillations in media with diffusion

    Dokl. Akad. Nauk SSSR, 302:6 (1988),  1312–1315
  38. Construction of the normal form in a neighborhood of a cycle by means of the Krylov–Bogolyubov–Mitropol'skiǐ asymptotic method

    Differ. Uravn., 24:5 (1988),  891–894
  39. A relaxation system in the neighbourhood of a disruption point: reduction to the regular case

    Uspekhi Mat. Nauk, 43:2(260) (1988),  141–142
  40. Asymptotic integration of the variational system of a multidimensional relaxation cycle. II

    Differ. Uravn., 23:12 (1987),  2036–2047
  41. Asymptotic integration of the variational system of a multidimensional relaxation cycle. I

    Differ. Uravn., 23:11 (1987),  1881–1889
  42. Bifurcation of self-oscillations of nonlinear parabolic equations with small diffusion

    Mat. Sb. (N.S.), 130(172):4(8) (1986),  488–499
  43. Diffusion instability of a torus

    Dokl. Akad. Nauk SSSR, 281:6 (1985),  1307–1309
  44. A bifurcation theorem in the theory of self-oscillations of distributed systems

    Differ. Uravn., 21:10 (1985),  1709–1713
  45. On a mechanism of generating turbulence

    Uspekhi Mat. Nauk, 38:5(233) (1983),  189–190
  46. Properties of solutions of a class of equations with lag which describe the dynamics of change in the population of a species with the age structure taken into account

    Mat. Sb. (N.S.), 117(159):1 (1982),  86–94
  47. The amplitude method for constructing multifrequency oscillations of nonlinear systems with delay

    Differ. Uravn., 17:9 (1981),  1596–1602
  48. Parametric resonance in systems with lag under two-frequency perturbation

    Sibirsk. Mat. Zh., 21:2 (1980),  113–118
  49. Stability of the solutions of linear differential-difference equations of neutral type

    Sibirsk. Mat. Zh., 20:2 (1979),  317–321
  50. Asymptotically sharp estimates for bounded solutions on the entire axis of inhomogeneous differential equations with a small parameter

    Differ. Uravn., 14:6 (1978),  1013–1017
  51. Stability of solutions of linear differential equations of parabolic type with almost periodic coefficients

    Tr. Mosk. Mat. Obs., 36 (1978),  3–27
  52. A new method of investigation of the stability of the solutions of linear differential equations with nearly constant almost periodic coefficients

    Differ. Uravn., 10:10 (1974),  1778–1788
  53. A test for the stability of the solutions of singularly perturbed second order equations with periodic coefficients

    Uspekhi Mat. Nauk, 29:4(178) (1974),  171–172
  54. Selfoscillations in a generator with distributed parameters

    Differ. Uravn., 8:11 (1972),  2087–2089
  55. On nonoscillation of solutions to singularly disturbed equations of second order

    Dokl. Akad. Nauk SSSR, 199:6 (1971),  1240–1242
  56. Properties of characteristic polynomials of matrices with non-negative elements

    Uspekhi Mat. Nauk, 26:3(159) (1971),  205–206
  57. The dichotomy of solutions of functional differential equations with almost periodic coefficients

    Dokl. Akad. Nauk SSSR, 195:6 (1970),  1259–1262
  58. Periodic solutions of second order quasilinear parabolic equations

    Tr. Mosk. Mat. Obs., 21 (1970),  103–134
  59. The bifurcation of the almost periodic solutions of singularly perturbed differential equations

    Uspekhi Mat. Nauk, 25:1(151) (1970),  189–190
  60. Periodic solutions of relay systems with distributed parameters

    Mat. Sb. (N.S.), 83(125):3(11) (1970),  349–371
  61. Schauder's principle, and stability of periodic solutions

    Dokl. Akad. Nauk SSSR, 188:6 (1969),  1234–1236
  62. The averaging principle and bifurcation of almost periodic solutions

    Dokl. Akad. Nauk SSSR, 187:6 (1969),  1219–1221
  63. Implicit functions and the averaging principle of N. N. Bogoljubov and N. M. Krylov

    Dokl. Akad. Nauk SSSR, 184:3 (1969),  526–529
  64. On the existence and constancy of sign of Green's function of scalar equations of high order with almost periodic coefficients

    Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1399–1415
  65. Study of stability of solutions of second order parabolic equations in the critical case

    Izv. Akad. Nauk SSSR Ser. Mat., 33:6 (1969),  1356–1372
  66. Investigation of the Green's function for differential operators with almost periodic coefficients

    Izv. Akad. Nauk SSSR Ser. Mat., 33:5 (1969),  1089–1119
  67. On the solvability of boundary value problems for second-order quasilinear elliptic equations

    Uspekhi Mat. Nauk, 23:2(140) (1968),  211–212
  68. Periodic solutions of a class of differential equations with hysteretic nonlinearity

    Dokl. Akad. Nauk SSSR, 176:6 (1967),  1240–1243
  69. Positive periodic solutions of a class of differential equations of second order

    Dokl. Akad. Nauk SSSR, 172:2 (1967),  264–266
  70. A criterion for the existence of periodic solutions of parabolic equations

    Dokl. Akad. Nauk SSSR, 170:5 (1966),  1013–1015
  71. Some existence criteria for stable periodic solutions of quasi-linear parabolic equations

    Dokl. Akad. Nauk SSSR, 157:6 (1964),  1288–1290
  72. Lyapunov stability and equations with concave operators

    Dokl. Akad. Nauk SSSR, 145:6 (1962),  1217–1220

© Steklov Math. Inst. of RAS, 2024