Bruno Alexander Dmitrievich

Publications in Math-Net.Ru

1. Real normal form of a binary polynomial at a second-order critical point
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:1 (2023),  3–15
2. Computation of asymptotic forms of solutions to system of nonlinear partial differential equations
   
   Keldysh Institute preprints, 2022, 048, 36 pp.
3. Computation of unimodular matrices
   
   Keldysh Institute preprints, 2022, 046, 20 pp.
4. Examples of computation of level lines of polynomials in a plane
   
   Keldysh Institute preprints, 2021, 098, 36 pp.
5. Normal form of a binary polynomial in the critical point of the second order
   
   Keldysh Institute preprints, 2021, 065, 20 pp.
6. Level lines of a polynomial in the plane
   
   Keldysh Institute preprints, 2021, 057, 24 pp.
7. Families of periodic solutions and invariant tori of Hamiltonian system
   
   Keldysh Institute preprints, 2020, 111, 20 pp.
8. Introduction to nonlinear nanlysis of algebraic equations
   
   Keldysh Institute preprints, 2020, 087, 31 pp.
9. Families of periodic solutions and invariant tori of Hamiltonian system without parameters
   
   Keldysh Institute preprints, 2020, 071, 15 pp.
10. On types of stability in Hamiltonian systems
    
    Keldysh Institute preprints, 2020, 021, 24 pp.
11. Normal form of a Hamiltonian system with a periodic perturbation
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020),  39–56
12. Orbital stability of the periodic solution of a Hamiltonian system
    
    Keldysh Institute preprints, 2019, 120, 16 pp.
13. The newest methods of celestial mechanics
    
    Keldysh Institute preprints, 2019, 079, 18 pp.
14. Normalization of the periodic Hamiltonian system
    
    Keldysh Institute preprints, 2019, 064, 18 pp.
15. Normal form of a Hamiltonian system with a periodic perturbation
    
    Keldysh Institute preprints, 2019, 057, 27 pp.
16. On the Parametrization of an Algebraic Curve
    
    Mat. Zametki, 106:6 (2019),  837–847
17. Normal form of the periodic Hamiltonian system with $n$ degrees of freedom
    
    Keldysh Institute preprints, 2018, 223, 15 pp.
18. Complicated and exotic expansions of solutions to the Painlevé equations
    
    Keldysh Institute preprints, 2018, 118, 44 pp.
19. Expansion of ODE solutions into transseries
    
    Keldysh Institute preprints, 2018, 117, 19 pp.
20. Asymptotic solution of some nonlinear problems
    
    Keldysh Institute preprints, 2018, 035, 24 pp.
21. Power geometry and expansions of solutions to the Painlevé equations
    
    Keldysh Institute preprints, 2018, 021, 15 pp.
22. On complicated expansions of solutions to ODES
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  346–364
23. Complicated and exotic expansions of solutions to the fifth Painlevé equation
    
    Keldysh Institute preprints, 2017, 107, 18 pp.
24. Calculation of exotic expansions of solutions to the third Painlevé equation
    
    Keldysh Institute preprints, 2017, 096, 22 pp.
25. Calculation of complicated asymptotic expansions of solutions to the Painlevé equations
    
    Keldysh Institute preprints, 2017, 055, 27 pp.
26. Calculation of fundamental units of number rings by means of the generalized continued fraction
    
    Keldysh Institute preprints, 2017, 046, 28 pp.
27. Solving the polynomial equations by algorithms of power geometry
    
    Keldysh Institute preprints, 2017, 034, 28 pp.
28. From Diophantine approximations to Diophantine equations
    
    Chebyshevskii Sb., 17:3 (2016),  38–52
29. On solution of an algebraic equation
    
    Keldysh Institute preprints, 2016, 070, 20 pp.
30. From Diophantine approximations to Diophantine equations
    
    Keldysh Institute preprints, 2016, 001, 20 pp.
31. Universal generalization of the continued fraction algorithm
    
    Chebyshevskii Sb., 16:2 (2015),  35–65
32. On investigation of the certain real algebraic surface
    
    Keldysh Institute preprints, 2014, 083, 28 pp.
33. Convergence of power expansions of solutions to an ODE
    
    Keldysh Institute preprints, 2013, 094, 16 pp.
34. Power Geometry and elliptic expansions of solutions to the Painlevé equations
    
    Keldysh Institute preprints, 2013, 088, 28 pp.
35. Asymptotic solving nonlinear equations and idempotent mathematics
    
    Keldysh Institute preprints, 2013, 056, 31 pp.
36. Expansions and asymptotic forms of solutions to the fifth Painlevé equation near infinity
    
    Keldysh Institute preprints, 2012, 061, 32 pp.
37. Power-elliptic expansions of solutions to an ordinary differential equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:12 (2012),  2206–2218
38. Periodic and Elliptic Asymptotic Forms of Solutions to the Fifth Painlev'e Equation
    
    Keldysh Institute preprints, 2011, 061, 18 pp.
39. Power-elliptic expansions of solutions to an ODE
    
    Keldysh Institute preprints, 2011, 060, 19 pp.
40. Power-exponential expansions of solutions to an ODE
    
    Keldysh Institute preprints, 2011, 054, 11 pp.
41. Sets of stability of multiparameter Hamiltonian systems
    
    Keldysh Institute preprints, 2011, 042, 32 pp.
42. Exponential expansions of solutions to an ODE
    
    Keldysh Institute preprints, 2011, 036, 16 pp.
43. Expansions of solutions to the fifth Painlevé equation near its nonsingular point
    
    Keldysh Institute preprints, 2011, 018, 16 pp.
44. On complicated expansions of solutions to ODE
    
    Keldysh Institute preprints, 2011, 015, 26 pp.
45. Resolution of an algebraic singularity by Power Geometry algorithms
    
    Keldysh Institute preprints, 2011, 010, 30 pp.
46. Structure of the best diophantine approximations and multidimensional generalizations of the continued fraction
    
    Chebyshevskii Sb., 11:1 (2010),  68–73
47. Local Expansions of Solutions of the Fifth Painlevé Equation
    
    Keldysh Institute preprints, 2010, 072, 27 pp.
48. Power expansions of the shifted solutions to the N. Kowalewski system
    
    Keldysh Institute preprints, 2010, 048, 32 pp.
49. Asymptotic Expansions of Solutions to the Fifth Painlevé equation
    
    Keldysh Institute preprints, 2010, 039, 23 pp.
50. Computation of the Sets of Stability in Multiparameter Problems
    
    Keldysh Institute preprints, 2010, 023, 22 pp.
51. The structure of the multidimensional Diophantine approximations
    
    Keldysh Institute preprints, 2010, 011, 8 pp.
52. Nonpower expansions of solutions to the third Painlevé equation
    
    Keldysh Institute preprints, 2010, 010, 21 pp.
53. The stability set of a gyroscopic problems
    
    Keldysh Institute preprints, 2010, 004, 30 pp.
54. Sets of stability of multiparameter problems
    
    Keldysh Institute preprints, 2010, 003, 14 pp.
55. Algorithmic analysis of local integrability
    
    Dokl. Akad. Nauk, 424:3 (2009),  299–303
56. Non-formal solutions to ODE
    
    Keldysh Institute preprints, 2009, 061, 14 pp.
57. Elliptic asymptotic forms of solutions to the Painlev'e equations
    
    Keldysh Institute preprints, 2009, 006, 26 pp.
58. On integrability of a planar system of ODEs near a degenerate stationary point
    
    Zap. Nauchn. Sem. POMI, 373 (2009),  34–47
59. All expansions of solutions to the sixth Painlevé equation near its nonsingular point
    
    Keldysh Institute preprints, 2008, 075, 30 pp.
60. Two-sided generalization of the continued fraction
    
    Keldysh Institute preprints, 2008, 058, 25 pp.
61. The families c and i of periodic solutions of the restricted problem for $\mu=5\cdot10^{-5}$
    
    Keldysh Institute preprints, 2008, 022, 26 pp.
62. On integrability of the Euler–Poisson equations
    
    Fundam. Prikl. Mat., 13:1 (2007),  45–59
63. All asymptotic expansions of solutions to the equation P6 are obtained from base ones
    
    Keldysh Institute preprints, 2007, 077, 28 pp.
64. All asymptotic expansions of solutions to the equation P6 in the case $a\cdot b=0$
    
    Keldysh Institute preprints, 2007, 070, 30 pp.
65. All base asymptotic expansions of solutions to the equation P6 in the case $a\cdot b\ne0$
    
    Keldysh Institute preprints, 2007, 062, 33 pp.
66. Methods are used for researching of asymptotic expansions of solutions to the equation P6
    
    Keldysh Institute preprints, 2007, 061, 30 pp.
67. Review of all asymptotic expansions of solutions to the equation P6
    
    Keldysh Institute preprints, 2007, 060, 16 pp.
68. Analysis of the local integrability by methods of normal form and power geometry
    
    Keldysh Institute preprints, 2007, 053, 16 pp.
69. Family $c$ of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2007, 051, 14 pp.
70. Complicated families of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2007, 035, 18 pp.
71. Periodic solutions of the restricted three-body problem for small $\mu$
    
    Keldysh Institute preprints, 2007, 034, 22 pp.
72. Power Geometry as a new mathematics
    
    Keldysh Institute preprints, 2007, 028, 24 pp.
73. All asymptotic expansions of solutions to the sixth Painlevé equation
    
    Keldysh Institute preprints, 2007, 019, 19 pp.
74. Computation of normal forms of the Euler–Poisson equations
    
    Keldysh Institute preprints, 2007, 001, 17 pp.
75. Complicated expansions of solutions to an ODE system
    
    Keldysh Institute preprints, 2006, 081, 13 pp.
76. Exotic expansions of solutions to an ordinary differential equation
    
    Keldysh Institute preprints, 2006, 066, 31 pp.
77. Desingularizations of the restricted three-body problem
    
    Keldysh Institute preprints, 2006, 053, 12 pp.
78. The generating family $i$ of periodic solutions of the restricted problem
    
    Keldysh Institute preprints, 2006, 036
79. On movable singular points of solutions to the ordinary differential equations
    
    Keldysh Institute preprints, 2006, 026, 13 pp.
80. Expansions of solutions to the sixth Painlevé equation near singular points $x=0$ и $x=\infty$
    
    Keldysh Institute preprints, 2006, 013, 32 pp.
81. Expansions of solutions to the sixth painleve equation in cases $a=0$ and $b=0$
    
    Keldysh Institute preprints, 2006, 002, 30 pp.
82. Theory of normal forms of the Euler-Poisson equations
    
    Keldysh Institute preprints, 2005, 100
83. Properties of the modulus polyhedron
    
    Keldysh Institute preprints, 2005, 072
84. Simple finite solutions to the N. Kowalewski equations
    
    Keldysh Institute preprints, 2005, 068
85. The family $h$ of periodic solutions of the restricted problem for small $\mu$
    
    Keldysh Institute preprints, 2005, 067
86. Normal Forms and Integrability of the Euler–Poisson Equations
    
    Keldysh Institute preprints, 2005, 066
87. Last expansions of modified motions of a rigid body
    
    Keldysh Institute preprints, 2005, 065
88. The family $h$ of periodic solutions of the restricted problem for big $\mu$
    
    Keldysh Institute preprints, 2005, 064
89. On the viscous incompressible fluid flow around a plate
    
    Keldysh Institute preprints, 2005, 054
90. New generalizations of the continued fraction
    
    Keldysh Institute preprints, 2005, 052, 17 pp.
91. The family $h$ of periodic solutions of the restricted problem for small $\mu$
    
    Keldysh Institute preprints, 2005, 048
92. Further generalization of the continued fraction
    
    Keldysh Institute preprints, 2005, 040
93. Complicated expansions of solutions to an ordinary differential equation
    
    Keldysh Institute preprints, 2005, 036
94. Power expansions of solutions to an analogy to the first Painlevé equation
    
    Keldysh Institute preprints, 2005, 017
95. On families of periodic solutions to the restricted three-body problem
    
    Keldysh Institute preprints, 2005, 010
96. Power expansions of solutions to the sixth Painlevé equation near a regular point
    
    Keldysh Institute preprints, 2005, 004
97. Singularities of solutions to the first Painlevé equation
    
    Keldysh Institute preprints, 2004, 075, 13 pp.
98. Algorithm of the generalizationued continued fraction
    
    Keldysh Institute preprints, 2004, 045, 27 pp.
99. The compressible heat conductive boundary layer on a needle
    
    Keldysh Institute preprints, 2004, 037, 38 pp.
100. About incompressible boundary layer on a needle
     
     Keldysh Institute preprints, 2004, 036, 26 pp.
101. Methods of a study of the boundary layer on a needle
     
     Keldysh Institute preprints, 2004, 035, 23 pp.
102. On generalisations of the continued fraction
     
     Keldysh Institute preprints, 2004, 010, 19 pp.
103. Asymptotic behaviour and expansions of solutions of an ordinary differential equation
     
     Uspekhi Mat. Nauk, 59:3(357) (2004),  31–80
104. Polyhedra of absolute values for triples of linear forms
     
     Keldysh Institute preprints, 2003, 093, 21 pp.
105. The сorrect generalization of the continued fraction
     
     Keldysh Institute preprints, 2003, 086, 19 pp.
106. Axisymmetric boundary layer on a needle
     
     Keldysh Institute preprints, 2003, 064, 28 pp.
107. Expansions of solutions to an ODE system
     
     Keldysh Institute preprints, 2003, 059, 24 pp.
108. Asymptotically сlose slutions to an ODE system
     
     Keldysh Institute preprints, 2003, 058, 28 pp.
109. Power and exponential expansions of solutions to the third Painlevé equation
     
     Keldysh Institute preprints, 2003, 051, 19 pp.
110. Power expansions of solutions to the fifth Painlevé equation
     
     Keldysh Institute preprints, 2003, 050, 26 pp.
111. Power expansions of solutions to the sixth Painlevé equation
     
     Keldysh Institute preprints, 2003, 049, 24 pp.
112. Power series and nonpower asymptotics of solutions to the second Painlevé equation
     
     Keldysh Institute preprints, 2003, 048, 36 pp.
113. Asymptotically close solutions to an ordinary differential equation
     
     Keldysh Institute preprints, 2003, 031, 17 pp.
114. The asymptotical solution of nonlinear equations by means of Power Geometry
     
     Keldysh Institute preprints, 2003, 028, 31 pp.
115. Asymptotics and expansions of solutions to an ordinary differential equation
     
     Keldysh Institute preprints, 2003, 009, 25 pp.
116. Classes of families of generalized periodic solutions to the Beletsky equation
     
     Keldysh Institute preprints, 2002, 064
117. Analysis of the Euler-Poisson equations by methods of Power Geometry
     
     Keldysh Institute preprints, 2002, 041
118. Asymptotics of solutions to the ordinary differential equations
     
     Keldysh Institute preprints, 2002, 040
119. Properties of expansions of modified motions of a rigid body
     
     Keldysh Institute preprints, 2002, 023
120. Asymptotical expansions of modified motions of a rigid body
     
     Keldysh Institute preprints, 2001, 090
121. Local expansions of modified motions of a rigid body
     
     Keldysh Institute preprints, 2001, 073
122. The modified system of equations described motions of a rigid body
     
     Keldysh Institute preprints, 2001, 049
123. Power Expansions of Solutions of a System of Algebraic and Differential Equations
     
     Keldysh Institute preprints, 2000, 068
124. Power Expansions of Solutions of One Algebraic or Differential Equation
     
     Keldysh Institute preprints, 2000, 063
125. Families of Periodic Solutions of the Beletskii Equation
     
     Keldysh Institute preprints, 2000, 051
126. Normal Forms of the ODE System
     
     Keldysh Institute preprints, 2000, 018
127. Self-similar solutions and power geometry
     
     Uspekhi Mat. Nauk, 55:1(331) (2000),  3–44
128. A new generalization of the continued fraction
     
     Keldysh Institute preprints, 1999, 082
129. On Complexity of Problems of Power Geometry
     
     Keldysh Institute preprints, 1999, 059
130. Finding Self-Similar Solutions by Means of Power Geometry
     
     Keldysh Institute preprints, 1999, 057
131. Computation of periodic oscillations of a satellite
     
     Mat. Model., 9:6 (1997),  82–94
132. Comparison of various generalizations of continued fractions
     
     Mat. Zametki, 61:3 (1997),  339–348
133. Hamiltonian truncations of a Hamiltonian system
     
     Dokl. Akad. Nauk, 349:2 (1996),  153–155
134. Zero-Multiple and Retrograde Periodic Solutions of the Restricted Three-Body Problem
     
     Keldysh Institute preprints, 1996, 093
135. A general approach to asymptotic nonlinear analysis
     
     Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  24–27
136. Bifurcations of solutions in an invertible system of ordinary differential equations
     
     Dokl. Akad. Nauk, 345:5 (1995),  590–592
137. Methods for computing the normal form
     
     Dokl. Akad. Nauk, 344:3 (1995),  298–300
138. The Second Limit Problem for the Equation of Oscillations of a Satellite
     
     Keldysh Institute preprints, 1995, 128
139. The First Limit Problem for the Equation of Oscillations of a Satellite
     
     Keldysh Institute preprints, 1995, 124
140. The Hamiltonian Truncations of a Hamiltonian System
     
     Keldysh Institute preprints, 1995, 055
141. Homoclinic Solutions of an Invertible ODE System
     
     Keldysh Institute preprints, 1995, 054
142. The Newton Polyhedron in the Nonlinear Analysis
     
     Keldysh Institute preprints, 1995, 048
143. Local Analysis of a Singularity of an Invertible ODE System. Complicated Cases
     
     Keldysh Institute preprints, 1995, 047
144. Newton Polyhedra and the Asymptotic Analysis of the Viscous Fluid Flow Around Flat Plate
     
     Keldysh Institute preprints, 1995, 044
145. Local Analysis of a Singularity of an Invertible ODE System. Simple Cases
     
     Keldysh Institute preprints, 1995, 040
146. Formal integral of a divergence-free system
     
     Mat. Zametki, 57:6 (1995),  803–813
147. Local analysis of singularities of an invertible system of ordinary differential equations
     
     Uspekhi Mat. Nauk, 50:6(306) (1995),  169–170
148. Newton polyhedra and Hamiltonian systems
     
     Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  84–86
149. The Newton polyhedron in nonlinear analysis
     
     Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  45–51
150. First approximations of differential equations
     
     Dokl. Akad. Nauk, 335:4 (1994),  413–416
151. First approximations of algebraic equations
     
     Dokl. Akad. Nauk, 335:3 (1994),  277–278
152. Klein polyhedrals for two cubic Davenport forms
     
     Mat. Zametki, 56:4 (1994),  9–27
153. Nondegeneracy conditions in the Kolmogorov theorem
     
     Dokl. Akad. Nauk, 322:6 (1992),  1028–1032
154. Smooth linearization of differential equations
     
     Dokl. Akad. Nauk, 322:3 (1992),  446–450
155. Local uniformization of the branches of a space curve, and Newton polyhedra
     
     Algebra i Analiz, 3:1 (1991),  67–101
156. On a finitely smooth linearization of a system of differential equations near a hyperbolic singular point
     
     Dokl. Akad. Nauk SSSR, 318:3 (1991),  524–527
157. The normal form of a system, close to a Hamiltonian system
     
     Mat. Zametki, 48:5 (1990),  35–46
158. System, similar to a normal form
     
     Mat. Zametki, 48:3 (1990),  20–31
159. Normalization of a Hamiltonian system near an invariant cycle or torus
     
     Uspekhi Mat. Nauk, 44:2(266) (1989),  49–78
160. The normal form of a Hamiltonian system
     
     Uspekhi Mat. Nauk, 43:1(259) (1988),  23–56
161. Stability in a Hamiltonian system
     
     Mat. Zametki, 40:3 (1986),  385–392
162. Analytic invariants of a differential equation
     
     Dokl. Akad. Nauk SSSR, 273:4 (1983),  781–785
163. Noncanonical invariants of Hamiltonian systems
     
     Mat. Zametki, 33:3 (1983),  333–344
164. Divergence of a real normalizing transformation
     
     Mat. Zametki, 31:3 (1982),  403–410
165. Properties of certain functions of celestial mechanics
     
     Mat. Zametki, 22:1 (1977),  109–116
166. Normal form and averaging methods
     
     Dokl. Akad. Nauk SSSR, 230:2 (1976),  257–260
167. Integral analytic sets
     
     Dokl. Akad. Nauk SSSR, 220:6 (1975),  1255–1258
168. Normal form of real differential equations
     
     Mat. Zametki, 18:2 (1975),  227–241
169. Analytic integral manifolds
     
     Dokl. Akad. Nauk SSSR, 216:2 (1974),  253–256
170. Normal form of differential equations with a small parameter
     
     Mat. Zametki, 16:3 (1974),  407–414
171. Local invariants of differential equations
     
     Mat. Zametki, 14:4 (1973),  499–507
172. Analytic form of differential equations
     
     Tr. Mosk. Mat. Obs., 26 (1972),  199–239
173. Analytic form of differential equations. I, II
     
     Tr. Mosk. Mat. Obs., 25 (1971),  119–262
174. Instability in a Hamiltonian system and the distribution of asteroids
     
     Mat. Sb. (N.S.), 83(125):2(10) (1970),  273–312
175. An analytic form of differential equations
     
     Mat. Zametki, 6:6 (1969),  771–778
176. The divergence of transformations to normal form of differential equations
     
     Dokl. Akad. Nauk SSSR, 174:5 (1967),  1003–1006
177. Formal stability of Hamiltonian systems
     
     Mat. Zametki, 1:3 (1967),  325–330
178. On convergence of transforms of differential equations to the normal form
     
     Dokl. Akad. Nauk SSSR, 165:5 (1965),  987–989
179. Power asymptotics of solutions of non-linear systems
     
     Izv. Akad. Nauk SSSR Ser. Mat., 29:2 (1965),  329–364
180. The normal form of differential equations
     
     Dokl. Akad. Nauk SSSR, 157:6 (1964),  1276–1279
181. The expansion of algebraic numbers into continued fractions
     
     Zh. Vychisl. Mat. Mat. Fiz., 4:2 (1964),  211–221
182. Asymptotic behavior of solutions of systems of differential equations
     
     Dokl. Akad. Nauk SSSR, 143:4 (1962),  763–766


183. Vladimir Igorevich Parusnikov
     
     Chebyshevskii Sb., 17:1 (2016),  286–298
184. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
     
     Uspekhi Mat. Nauk, 30:2(182) (1975),  261–269