Edit Profile (opens in new tab) Bruno, Alexander Dmitrievich Co-Author Distance Author ID: bruno.alexander-d Published as: Bryuno, A. D.; Bruno, A. D.; Bruno, Alexander D.; Bruno, Alexander; Bruno, A.; Bruno, Alexander Dmitrievich; Bryuno, Alexander D. more...less Homepage: https://brunoa.name/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 203 Publications since 1962, including 14 Books and 1 Additional arXiv Preprint 1 Contribution as Editor · 3 Further Contributions Co-Authors: 26 Co-Authors with 71 Joint Publications 880 Co-Co-Authors all top 5 Co-Authors 131 single-authored 11 Soleev, Ahmadjon 10 Batkhin, Alexandr B. 10 Edneral, Victor F. 9 Goryuchkina, Irina V. 7 Varin, Victor P. 4 Parusnikov, Vladimir Igor’evich 3 Lunev, V. V. 3 Parusnikova, Anastasia V. 3 Shadrina, T. V. 2 Gashenenko, Igor N. 2 Petrovich, V. Yu. 1 Aptekarev, Alexander Ivanovich 1 Azimov, A. A. 1 Babenko, Konstantin Ivanovich 1 Beletskiĭ, Vladimir Vasil’evich 1 Capolupo, Antonio 1 Kak, Subhash 1 Karulina, Elena S. 1 Khaidarov, Z. Kh. 1 Kozlov, Valeriĭ Vasil’evich 1 1 Raimondo, Giovanni 1 Romanovskiĭ, Valeriĭ Georgievich 1 Sadov, Sergey Yu. 1 Vasil’ev, M. M. 1 Vasil’ev, Mikhail Andreevich 1 Vitiello, Giuseppe 1 Walcher, Sebastian all top 5 Serials 44 Doklady Mathematics 13 Mathematical Notes 11 Soviet Mathematics. Doklady 10 Programming and Computer Software 5 Russian Mathematical Surveys 5 Transactions of the Moscow Mathematical Society 5 Chebyshevskiĭ Sbornik 4 Institut Prikladnoĭ Matematiki Imeni M. V. Keldysha Rossiĭskoĭ Akademii Nauk. Moskva. Preprint 4 Nonlinear Analysis. Theory, Methods & Applications 3 Matematicheskie Zametki 3 Mekhanika Tverdogo Tela 3 Moscow University Mathematics Bulletin 3 Computational Mathematics and Mathematical Physics 3 Celestial Mechanics 3 Celestial Mechanics and Dynamical Astronomy 3 Journal of Mathematical Sciences (New York) 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Prikladnaya Matematika i Mekhanika 2 Mathematics and Computers in Simulation 2 Trudy Moskovskogo Matematicheskogo Obshchestva 2 Russian Academy of Sciences. Doklady. Mathematics 2 Selecta Mathematica 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Modern Physics Letters B 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Analysis and Applications 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Archivum Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Algebra i Analiz 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 International Applied Mechanics 1 St. Petersburg Mathematical Journal 1 Functional Differential Equations 1 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Matematicheskoe Modelirovanie 1 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya 1 De Gruyter Expositions in Mathematics 1 North-Holland Mathematical Library 1 International Journal of Differential Equations 1 AIMS Mathematics 1 De Gruyter Proceedings in Mathematics all top 5 Fields 121 Ordinary differential equations (34-XX) 57 Mechanics of particles and systems (70-XX) 31 Dynamical systems and ergodic theory (37-XX) 15 Number theory (11-XX) 15 Partial differential equations (35-XX) 14 Algebraic geometry (14-XX) 13 Computer science (68-XX) 10 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 156 Publications have been cited 1,446 times in 861 Documents Cited by ▼ Year ▼ Local methods in nonlinear differential equations. Part I: The local method of nonlinear analysis of differential equations; Part II: The sets of analyticity of a normalizing transformation. Transl. from the Russian by William Hovingh and Courthney S. Coleman. Zbl 0674.34002 Bruno, Alexander D. 160 1989 Analytical form of differential equations. Zbl 0272.34018 Bryuno, A. D. 136 1973 A local method of nonlinear analysis for differential equations. (Локальный метод нелинейного анализа дифференциальных уравнений.) Zbl 0496.34002 Bryuno, A. D. 119 1979 The analytic form of differential equations. Zbl 0263.34003 Bryuno, A. D. 87 1971 Asymptotic behavior and expansions of solutions of an ordinary differential equation. Zbl 1068.34054 Bryuno, A. D. 85 2004 The analytic form of differential equations. II. Zbl 0283.34013 Bryuno, A. D. 81 1974 Power geometry in algebraic and differential equations. (Степенная геометрия в алгебраических и дифференциальных уравнениях.) Zbl 0903.34001 Bryuno, A. D. 50 1998 Power geometry in algebraic and differential equations. Transl. from the Russian. Corrected and enlarged ed. Zbl 0955.34002 Bruno, Alexander D. 48 2000 The restricted three-body problem: plane periodic orbits. Transl. from the Russian by Balint Erdi. With a preface by Victor G. Szebehely. Zbl 0860.70001 Bruno, A. D. 31 1994 Die analytische Form von Differentialgleichungen. Zbl 0269.34006 Bryuno, A. D. 25 1972 Symmetries and convergence of normalizing transformations. Zbl 0804.34040 Bruno, A. D.; Walcher, S. 20 1994 The normal form of a Hamiltonian system. Zbl 0656.70017 Bryuno, A. D. 19 1988 The restricted three-body problem. Plane periodic orbits. (Ogranichennaya zadacha trekh tel. Ploskie periodicheskie orbity). Ed. by K. I. Babenko. (Ogranichennaya zadacha trekh tel. Ploskie periodicheskie orbity.) Zbl 0695.70001 Bruno, A. D. 19 1990 Normalization of a Hamiltonian system near an invariant cycle or torus. Zbl 0696.34020 Bryuno, A. D. 18 1989 Stability sets of multiparameter Hamiltonian systems. Zbl 1272.70076 Batkhin, A. B.; Bruno, A. D.; Varin, V. P. 18 2012 Asymptotic expansions of solutions of the sixth Painlevé equation. Zbl 1215.34113 Bruno, A. D.; Goryuchkina, I. V. 18 2010 Klein polyhedrals for two cubic Davenport forms. Zbl 0844.11047 Bryuno, A. D.; Parusnikov, V. I. 17 1994 Convergence of transformations of differential equations to normal form. Zbl 0146.11301 Bryuno, A. D. 17 1965 Comparison of various generalizations of continued fractions. Zbl 0915.11040 Bryuno, A. D.; Parusnikov, V. I. 16 1997 On periodic flybys of the Moon. Zbl 0523.70017 Bruno, A. D. 13 1981 Bifurcations of solutions in an invertible system of ordinary differential equations. Zbl 0893.34028 Bruno, A. D.; Soleev, A. 11 1995 Normal form of differential equations. Zbl 0145.10202 Bryuno, A. D. 10 1964 Resolution of an algebraic singularity by power geometry algorithms. Zbl 1253.13022 Bruno, A. D.; Batkhin, A. B. 9 2012 Self-similar solutions and power geometry. Zbl 0957.34002 Bruno, A. D. 9 2000 Complicated expansions of solutions to an ordinary differential equation. Zbl 1155.34302 Bruno, A. D. 9 2006 Normalization of a periodic Hamiltonian system. Zbl 1459.37048 Bruno, A. D. 9 2020 A system similar to the normal form. Zbl 0715.34070 Bryuno, A. D. 8 1990 On families of periodic solutions of the restricted three-body problem. Zbl 1219.70025 Bruno, Alexander D.; Varin, Victor P. 8 2006 An axisymmetric boundary layer on a needle. Zbl 1219.76044 Bryuno, A. D.; Shadrina, T. V. 8 2004 Instability in a Hamiltonian system and the distribution of asteroids. Zbl 0266.34045 Bryuno, A. D. 8 1971 Formal stability of Hamiltonian systems. Zbl 0154.34401 Bryuno, A. D. 8 1967 On an axially symmetric flow of a viscous incompressible fluid around a needle. Zbl 1146.76592 Bryuno, A. D.; Shadrina, T. V. 8 2002 Universal generalization of the continued fraction algorithm. Zbl 1437.11096 Bruno, A. D. 8 2015 Normal form of a Hamiltonian system. Zbl 0642.70009 Bryuno, A. D. 7 1988 Local expansions of solutions to the fifth Painlevé equation. Zbl 1235.34235 Bruno, A. D.; Parusnikova, A. V. 7 2011 All asymptotic expansions of solutions to the sixth Painlevé equation. Zbl 1158.34347 Bruno, A. D.; Goryuchkina, I. V. 7 2007 Periodic solutions of bounded three-body problem for small mass correlation. Zbl 1164.70010 Bryuno, A. D.; Varin, V. P. 7 2007 The asymptotic behavior of solutions of nonlinear systems of differential equations. Zbl 0124.29902 Bryuno, A. D. 7 1962 An axisymmetric boundary layer on a needle. Zbl 1146.76017 Bryuno, A. D.; Shadrina, T. V. 6 2007 Continued fraction expansion of algebraic numbers. Zbl 0154.30204 Bryuno, A. D. 6 1964 Power asymptotics of solutions of non-linear systems. Zbl 0133.33604 Bryuno, A. D. 6 1965 Normal forms and integrability of ODE systems. Zbl 1120.34026 Bruno, A. D.; Edneral, V. F. 6 2006 Power geometry as a new calculus. Zbl 1049.34007 Bruno, Alexander D. 5 2003 Power expansions of solutions of an algebraic or a differential equation. Zbl 1052.34009 Bruno, A. D. 5 2001 Expansions of solutions to the fifth Painlevé equation near its nonsingular point. Zbl 1242.34155 Bruno, A. D.; Parusnikova, A. V. 5 2012 Analysis of the Euler-Poisson methods of power geometry and normal form. Zbl 1150.70004 Bryuno, A. D. 5 2007 Expansions of solutions to the sixth Painlevé equation. Zbl 1282.34058 Bryuno, A. D.; Goryuchkina, I. V. 5 2004 Power asymptotics of solutions to an ordinary differential equation. Zbl 1149.34334 Bryuno, A. D. 5 2003 Investigation of a real algebraic surface. Zbl 1349.14178 Batkhin, A. B.; Bruno, A. D. 5 2015 Local method of nonlinear analysis. Zbl 0676.34011 Bruno, A. D. 4 1988 The normal form of a system, close to a Hamiltonian system. Zbl 0719.34065 Bryuno, A. D. 4 1990 Local uniformization of branches of a space curve, and Newton polyhedra. Zbl 0791.14012 Bryuno, A. D.; Soleev, A. 4 1991 Bifurcations of solutions in the symmetric case. Zbl 0850.76229 Bryuno, A. D. 4 1989 The limit problems for the equation of oscillation of a satellite. Zbl 0919.70017 Bruno, Alexander D.; Varin, Victor P. 4 1997 Exponential expansions of solutions to an ordinary differential equation. Zbl 1269.34009 Bruno, A. D. 4 2012 Analytic integral manifolds. Zbl 0303.34035 Bryuno, A. D. 4 1974 Researches on the restricted three-body problem. II Periodic Solutions and arcs for u=0. Zbl 0389.70010 Bryuno, A. D. 4 1978 First approximations of differential equations. Zbl 0855.35027 Bruno, A. D. 4 1994 A further generalization of the continued fraction. Zbl 1174.11316 Bryuno, A. D.; Parusnikov, V. I. 4 2006 Formal integral of a divergence-free system. Zbl 0851.34005 Bryuno, A. D.; Sadov, S. Yu. 4 1995 Asymptotic solution of an algebraic equation. Zbl 1236.65049 Bruno, A. D.; Batkhin, A. B. 4 2011 Local integrability of the Euler-Poisson equations. Zbl 1149.34322 Bruno, A. D. 4 2006 Expansions of solutions to the sixth Painlevé equation in the cases \(a= 0\) and \(b = 0\). Zbl 1160.34077 Bruno, A. D.; Goryuchkina, I. V. 4 2006 Power asymptotics of solutions to an ODE system. Zbl 1148.34315 Bryuno, A. D. 4 2006 The structure of multidimensional Diophantine approximations. Zbl 1263.11066 Bryuno, A. D. 4 2010 Nonpower asymptotics of solutions to an ordinary differential equation. Zbl 1149.34335 Bryuno, A. D. 4 2003 New generalization of continued fraction. I. Zbl 1213.11145 Bruno, Alexander D. 4 2010 Normal form of nonlinear oscillations. Zbl 0227.34032 Bryuno, A. D. 4 1970 Generalizations of a continued fraction. Zbl 1241.11074 Bryuno, A. D. 4 2006 Normal form of a Hamiltonian system with a periodic perturbation. Zbl 1490.37083 Bruno, A. D. 4 2020 On complicated expansions of solutions to ODES. Zbl 06909572 Bruno, A. D. 4 2018 Algorithms and programs for calculating the roots of polynomial of one or two variables. Zbl 1483.68500 Bruno, A. D.; Batkhin, A. B. 4 2021 Divergence of real normalizing transformation. Zbl 0419.34036 Bryuno, A. D. 3 1979 Researches on the restricted three-body problem. III. Properties of the solutions for \(\mu=0^*\). Zbl 0389.70011 Bryuno, A. D. 3 1978 Asymptotic analysis of the viscous fluid flow around a flat plate by the Newton polyhedra. Zbl 0902.76075 Bruno, Alexander; Vasil’ev, Mikhail 3 1997 General approach to the asymptotic analysis of singular perturbations. Zbl 0991.34511 Bruno, Alexander D. 3 1995 Singularities of oscillations of a satellite on highly eccentric elliptic orbits. Zbl 0898.34034 Bruno, Alexander; Varin, Victor 3 1997 On conditions for nondegeneracy in Kolmogorov’s theorem. Zbl 0802.58022 Bruno, A. D. 3 1992 Algorithmic analysis of local integrability. Zbl 1251.37051 Bruno, A. D.; Edneral, V. F. 3 2009 Normal form of differential equations with a small parameter. Zbl 0314.34043 Bryuno, A. D. 3 1975 Local uniformization of branches of a space curve and Newton polyhedra. Zbl 0760.14010 Bryuno, A. D.; Soleev, A. 3 1991 Hamiltonian truncated systems of a Hamiltonian system. Zbl 0925.70159 Bryuno, A. D.; Soleev, A. 3 1996 Computation of periodic oscillations of a satellite. The regular case. Zbl 0847.70020 Bryuno, A. D.; Petrovich, V. Yu. 3 1993 Local analysis of singularities of an invertible system of ordinary differential equations. Zbl 0862.34021 Bryuno, A. D.; Soleev, A. 3 1995 First approximations of algebraic equations. Zbl 0886.32006 Bruno, A. D.; Soleev, A. 3 1994 Two-way generalization of the continued fraction. Zbl 1197.11009 Bryuno, A. D.; Parusnikov, V. I. 3 2009 Asymptotic forms of solutions to the third Painlevé equation. Zbl 1193.34175 Bruno, A. D.; Goryuchkina, I. V. 3 2008 Powerlogarithmic expansions of solutions to a system of ordinary differential equations. Zbl 1157.34303 Bruno, A. D. 3 2008 Expansions of solutions to the fifth Painlevé equation. Zbl 1282.34095 Bryuno, A. D.; Karulina, E. S. 3 2004 Algorithms for solving an algebraic equation. Zbl 1455.68281 Bruno, A. D. 3 2018 On the parametrization of an algebraic curve. Zbl 1445.14081 Bryuno, A. D. 3 2019 From Diophantine approximations to Diophantine equations. Zbl 1435.11089 Bruno, A. D. 3 2016 Structure of the best Diophantine approximations and multidimensional generalizations of the continued fraction. Zbl 1311.11063 Bryuno, A. D. 3 2010 Power expansions of solutions of a system of algebraic and differential equations. Zbl 1051.34008 Bruno, A. D. 2 2001 Bifurcations of periodic solutions in the case of a multiple pair of purely imaginary eigenvalues with a symmetry. Zbl 0786.34044 Bryuno, A. D. 2 1988 A general approach to the study of complex bifurcations. Zbl 0795.34028 Bryuno, A. D. 2 1992 Normal form of real differential equations. Zbl 0319.34010 Bryuno, A. D. 2 1976 Normal forms and integrability of ODE systems. Zbl 1169.34320 Bruno, Alexander D.; Edneral, Victor F. 2 2005 Stability in a Hamiltonian system. Zbl 0624.34049 Bryuno, A. D. 2 1986 Local analysis of a reversible ODE system and the Newton polyhedron. Zbl 0893.34032 Bruno, Alexander; Soleev, Ahmadjon 2 1997 Computing unimodular matrices of power transformations. Zbl 1529.11047 Bruno, A. D.; Azimov, A. A. 1 2023 Level lines of a polynomial on a plane. Zbl 1497.14122 Bruno, A. D.; Batkhin, A. B. 1 2022 Algorithms and programs for calculating the roots of polynomial of one or two variables. Zbl 1483.68500 Bruno, A. D.; Batkhin, A. B. 4 2021 Normalization of a periodic Hamiltonian system. Zbl 1459.37048 Bruno, A. D. 9 2020 Normal form of a Hamiltonian system with a periodic perturbation. Zbl 1490.37083 Bruno, A. D. 4 2020 On the parametrization of an algebraic curve. Zbl 1445.14081 Bryuno, A. D. 3 2019 Expansion of solutions to an ordinary differential equation into transseries. Zbl 1420.34034 Bruno, A. D. 2 2019 Computation of the fundamental units of number rings using a generalized continued fraction. Zbl 1456.11126 Bruno, A. D. 1 2019 On complicated expansions of solutions to ODES. Zbl 06909572 Bruno, A. D. 4 2018 Algorithms for solving an algebraic equation. Zbl 1455.68281 Bruno, A. D. 3 2018 Elements of nonlinear analysis. Zbl 1405.34014 Bruno, Alexander D. 1 2018 Complicated and exotic expansions of solutions to the Painlevé equations. Zbl 1404.34018 Bruno, Alexander D. 1 2018 On new integrals of the Algaba-Gamero-Garcia system. Zbl 1455.34003 Bruno, Alexander D.; Edneral, Victor F.; Romanovski, Valery G. 2 2017 From Diophantine approximations to Diophantine equations. Zbl 1435.11089 Bruno, A. D. 3 2016 Computation of the best Diophantine approximations and of fundamental units of algebraic fields. Zbl 1353.11116 Bryuno, A. D. 2 2016 Universal generalization of the continued fraction algorithm. Zbl 1437.11096 Bruno, A. D. 8 2015 Investigation of a real algebraic surface. Zbl 1349.14178 Batkhin, A. B.; Bruno, A. D. 5 2015 Power geometry and elliptic expansions of solutions to the Painlevé equations. Zbl 1339.34063 Bruno, Alexander D. 2 2015 Stability sets of multiparameter Hamiltonian systems. Zbl 1272.70076 Batkhin, A. B.; Bruno, A. D.; Varin, V. P. 18 2012 Resolution of an algebraic singularity by power geometry algorithms. Zbl 1253.13022 Bruno, A. D.; Batkhin, A. B. 9 2012 Expansions of solutions to the fifth Painlevé equation near its nonsingular point. Zbl 1242.34155 Bruno, A. D.; Parusnikova, A. V. 5 2012 Exponential expansions of solutions to an ordinary differential equation. Zbl 1269.34009 Bruno, A. D. 4 2012 Power-exponential expansions of solutions to an ordinary differential equation. Zbl 1269.34010 Bruno, A. D. 2 2012 Power-elliptic expansions of solutions to an ordinary differential equation. Zbl 1274.34018 Bruno, A. D. 2 2012 Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Zbl 1248.34002 1 2012 Space power geometry for one ODE and \(P_1-P_4 P_6\). Zbl 1290.34093 Bruno, Alexander D. 1 2012 Elliptic and periodic asymptotic forms of solutions to \(P_5\). Zbl 1291.34153 Bruno, Alexander D.; Parusnikova, Anastasia V. 1 2012 Regular asymptotic expansions of solutions to one ODE and \(P_1-P_5\). Zbl 1290.34094 Bruno, Alexander D. 1 2012 Local expansions of solutions to the fifth Painlevé equation. Zbl 1235.34235 Bruno, A. D.; Parusnikova, A. V. 7 2011 Asymptotic solution of an algebraic equation. Zbl 1236.65049 Bruno, A. D.; Batkhin, A. B. 4 2011 Gauge theory and two level systems. Zbl 1263.81207 Bruno, A.; Capolupo, A.; Kak, S.; Raimondo, G.; Vitiello, G. 1 2011 Asymptotic expansions of solutions of the sixth Painlevé equation. Zbl 1215.34113 Bruno, A. D.; Goryuchkina, I. V. 18 2010 The structure of multidimensional Diophantine approximations. Zbl 1263.11066 Bryuno, A. D. 4 2010 New generalization of continued fraction. I. Zbl 1213.11145 Bruno, Alexander D. 4 2010 Structure of the best Diophantine approximations and multidimensional generalizations of the continued fraction. Zbl 1311.11063 Bryuno, A. D. 3 2010 On the convergence of a formal solution to an ordinary differential equation. Zbl 1208.34004 Bruno, A. D.; Goryuchkina, I. V. 1 2010 Algorithmic analysis of local integrability. Zbl 1251.37051 Bruno, A. D.; Edneral, V. F. 3 2009 Two-way generalization of the continued fraction. Zbl 1197.11009 Bryuno, A. D.; Parusnikov, V. I. 3 2009 On integrability of a planar ODE system near a degenerate stationary point. Zbl 1202.34076 Bruno, Alexander; Edneral, Victor 2 2009 Basic expansions of solutions to the sixth Painlevé equation in the generic case. Zbl 1185.34137 Bruno, A. D.; Goryuchkina, I. V. 1 2009 All expansions of solutions to the sixth Painlevé equation near its nonsingular point. Zbl 1181.34097 Bruno, A. D.; Goryuchkina, I. V. 1 2009 Asymptotic forms of solutions to the third Painlevé equation. Zbl 1193.34175 Bruno, A. D.; Goryuchkina, I. V. 3 2008 Powerlogarithmic expansions of solutions to a system of ordinary differential equations. Zbl 1157.34303 Bruno, A. D. 3 2008 Asymptotic forms of solutions to the fourth Painlevé equation. Zbl 1221.34238 Bruno, A. D.; Goryuchkina, I. V. 2 2008 On integrability of the Euler-Poisson equations. Zbl 1149.70006 Bruno, A. D.; Edneral, V. F. 1 2008 Complicated expansions of solutions to a system of ordinary differential equations. Zbl 1221.34023 Bruno, A. D. 1 2008 All asymptotic expansions of solutions to the sixth Painlevé equation. Zbl 1158.34347 Bruno, A. D.; Goryuchkina, I. V. 7 2007 Periodic solutions of bounded three-body problem for small mass correlation. Zbl 1164.70010 Bryuno, A. D.; Varin, V. P. 7 2007 An axisymmetric boundary layer on a needle. Zbl 1146.76017 Bryuno, A. D.; Shadrina, T. V. 6 2007 Analysis of the Euler-Poisson methods of power geometry and normal form. Zbl 1150.70004 Bryuno, A. D. 5 2007 Exotic expansions of solutions to an ordinary differential equation. Zbl 1158.34304 Bruno, A. D. 2 2007 Complicated expansions of solutions to an ordinary differential equation. Zbl 1155.34302 Bruno, A. D. 9 2006 On families of periodic solutions of the restricted three-body problem. Zbl 1219.70025 Bruno, Alexander D.; Varin, Victor P. 8 2006 Normal forms and integrability of ODE systems. Zbl 1120.34026 Bruno, A. D.; Edneral, V. F. 6 2006 A further generalization of the continued fraction. Zbl 1174.11316 Bryuno, A. D.; Parusnikov, V. I. 4 2006 Local integrability of the Euler-Poisson equations. Zbl 1149.34322 Bruno, A. D. 4 2006 Expansions of solutions to the sixth Painlevé equation in the cases \(a= 0\) and \(b = 0\). Zbl 1160.34077 Bruno, A. D.; Goryuchkina, I. V. 4 2006 Power asymptotics of solutions to an ODE system. Zbl 1148.34315 Bryuno, A. D. 4 2006 Generalizations of a continued fraction. Zbl 1241.11074 Bryuno, A. D. 4 2006 Simple exact solutions to the N. Kowalewski equations. Zbl 1160.70004 Bruno, A. D.; Gashenenko, I. N. 1 2006 On integrability of the Euler-Poisson equations. Zbl 1256.70005 Bruno, A. D.; Edneral, V. F. 1 2006 Normal forms and integrability of ODE systems. Zbl 1169.34320 Bruno, Alexander D.; Edneral, Victor F. 2 2005 Structure of best Diophantine approximations. Zbl 1272.11085 Bryuno, A. D. 2 2005 Generalized continued fraction algorithm. Zbl 1272.11086 Bryuno, A. D. 2 2005 Asymptotic behavior and expansions of solutions of an ordinary differential equation. Zbl 1068.34054 Bryuno, A. D. 85 2004 An axisymmetric boundary layer on a needle. Zbl 1219.76044 Bryuno, A. D.; Shadrina, T. V. 8 2004 Expansions of solutions to the sixth Painlevé equation. Zbl 1282.34058 Bryuno, A. D.; Goryuchkina, I. V. 5 2004 Expansions of solutions to the fifth Painlevé equation. Zbl 1282.34095 Bryuno, A. D.; Karulina, E. S. 3 2004 Classes of families of generalized periodic solutions to the Beletsky equation. Zbl 1145.70325 Bruno, Alexander D.; Varin, Victor P. 1 2004 Power geometry as a new calculus. Zbl 1049.34007 Bruno, Alexander D. 5 2003 Power asymptotics of solutions to an ordinary differential equation. Zbl 1149.34334 Bryuno, A. D. 5 2003 Nonpower asymptotics of solutions to an ordinary differential equation. Zbl 1149.34335 Bryuno, A. D. 4 2003 Invariant relations for the Fokker-Planck system. Zbl 1282.70035 Bryuno, A. D.; Lunev, V. V. 1 2003 On an axially symmetric flow of a viscous incompressible fluid around a needle. Zbl 1146.76592 Bryuno, A. D.; Shadrina, T. V. 8 2002 The analysis of the Euler-Poisson equations by methods of power geometry. Zbl 1079.70003 Bruno, A. D. 2 2002 Computation of power expansions of modified motions of a rigid body. Zbl 1223.70012 Bryuno, A. D.; Lunev, V. V. 1 2002 Families of power expansions of modified motions of a rigid body. Zbl 1230.70005 Bryuno, A. D.; Lunev, V. V. 1 2002 Power properties of motions of a rigid body. Zbl 1146.70312 Bryuno, A. D. 1 2002 Power expansions of solutions of an algebraic or a differential equation. Zbl 1052.34009 Bruno, A. D. 5 2001 Power expansions of solutions of a system of algebraic and differential equations. Zbl 1051.34008 Bruno, A. D. 2 2001 Power geometry in algebraic and differential equations. Transl. from the Russian. Corrected and enlarged ed. Zbl 0955.34002 Bruno, Alexander D. 48 2000 Self-similar solutions and power geometry. Zbl 0957.34002 Bruno, A. D. 9 2000 Power geometry and four applications. Zbl 0988.37020 Bruno, A. 1 1999 Generalized periodic solutions to the equation of oscillations of a satellite. Zbl 0955.70019 Bruno, A. D.; Varin, V. P. 1 1999 Power geometry in algebraic and differential equations. (Степенная геометрия в алгебраических и дифференциальных уравнениях.) Zbl 0903.34001 Bryuno, A. D. 50 1998 Normal forms. Zbl 1017.37502 Bruno, A. D. 1 1998 Newton polyhedra and power transformations. Zbl 1017.34500 Bruno, A. D. 1 1998 Local analysis of singularities of a reversible system of ordinary differential equations. Zbl 0918.34041 Bryuno, A. D.; Soleev, A. 1 1998 Comparison of various generalizations of continued fractions. Zbl 0915.11040 Bryuno, A. D.; Parusnikov, V. I. 16 1997 The limit problems for the equation of oscillation of a satellite. Zbl 0919.70017 Bruno, Alexander D.; Varin, Victor P. 4 1997 Asymptotic analysis of the viscous fluid flow around a flat plate by the Newton polyhedra. Zbl 0902.76075 Bruno, Alexander; Vasil’ev, Mikhail 3 1997 Singularities of oscillations of a satellite on highly eccentric elliptic orbits. Zbl 0898.34034 Bruno, Alexander; Varin, Victor 3 1997 Local analysis of a reversible ODE system and the Newton polyhedron. Zbl 0893.34032 Bruno, Alexander; Soleev, Ahmadjon 2 1997 Power geometry. Zbl 0943.34025 Bruno, A. D. 2 1997 Computation of periodic oscillations of a satellite. Zbl 1071.70532 Bryuno, A. D.; Petrovich, V. Yu. 2 1997 Hamiltonian truncated systems of a Hamiltonian system. Zbl 0925.70159 Bryuno, A. D.; Soleev, A. 3 1996 Bifurcations of solutions in an invertible system of ordinary differential equations. Zbl 0893.34028 Bruno, A. D.; Soleev, A. 11 1995 Formal integral of a divergence-free system. Zbl 0851.34005 Bryuno, A. D.; Sadov, S. Yu. 4 1995 General approach to the asymptotic analysis of singular perturbations. Zbl 0991.34511 Bruno, Alexander D. 3 1995 Local analysis of singularities of an invertible system of ordinary differential equations. Zbl 0862.34021 Bryuno, A. D.; Soleev, A. 3 1995 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 769 Authors 72 Bruno, Alexander Dmitrievich 21 Batkhin, Alexandr B. 20 Goryuchkina, Irina V. 20 Samovol, Vladimir Simkhovich 19 Demina, Maria V. 17 Algaba, Antonio 17 Kashchenko, Sergeĭ Aleksandrovich 15 García, Cristóbal 14 Tkhaĭ, Valentin Nikolaevich 13 Walcher, Sebastian 12 Shamolin, Maksim Vladimirovich 11 Giné, Jaume 11 Stolovitch, Laurent 11 Xu, Junxiang 10 Romanovskiĭ, Valeriĭ Georgievich 9 Edneral, Victor F. 9 Gaeta, Giuseppe 9 Zhang, Xiang 8 Gentile, Guido 8 Llibre, Jaume 8 Markeev, Anatoliĭ Pavlovich 8 Medvedeva, Nataliya Borisovna 8 Sevryuk, Mikhail Borisovich 8 Yang, Jiazhong 7 Gamero, Estanislao 7 Gontsov, Renat R. 7 Hoang, Luan Thach 7 Kudryashov, Nikolaĭ Alekseevich 7 Li, Yong 7 Sultanov, Oskar A. 6 Abramov, Sergeĭ Aleksandrovich 6 Marmi, Stefano 6 Parusnikova, Anastasia V. 6 Reyes, Manuel 6 Ryabenko, Anna A. 6 Sadov, Sergey Yu. 6 Si, Jianguo 6 Varin, Victor P. 6 Yumagulov, Marat Gayazovich 6 Zhang, Weinian 6 Zhao, Houyu 5 Kalyakin, Leonid Anatol’evich 5 Kozlov, Valeriĭ Vasil’evich 5 Lerman, Lev 5 Novikov, M. A. 5 Parusnikov, Vladimir Igor’evich 5 Zhang, Wenmeng 4 Adzhiev, S. Z. 4 Bounemoura, Abed Bounemoura 4 Chen, Guoting 4 de la Llave, Rafael 4 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 4 Dobrovol’skiĭ, Nikolai Nikolaevich 4 Freire Macías, Emilio 4 Goltser, Yakov M. 4 Gramchev, Todor V. 4 Ibragimova, Liliya Sunagatovna 4 Karpenkov, Oleg Nikolaevich 4 Kunitsyn, A. L. 4 Kurakin, Leonid Gennadievich 4 Petrov, Aleksandr Georgievich 4 Ren, Zhihua 4 Sidorov, Nikolaĭ Aleksandrovich 4 Treshchev, Dmitriĭ Valer’evich 4 Vedenyapin, Victor V. 4 Yampolsky, Michael 4 Zarmi, Yair 3 Arnol’d, Vladimir Igorevich 3 Awrejcewicz, Jan 3 Belova, Anna Sergeevna 3 Berezovskaya, Faina Semenovna 3 Contopoulos, George 3 Corsi, Livia 3 Danesi, Veronica 3 Fazlytdinov, Marat Flyurovich 3 Kashchenko, Il’ya Sergeevich 3 Klimina, Lyubov’ Aleksandrovna 3 Lu, Kening 3 Markhashov, L. M. 3 Matveev, Michael V. 3 Melikhov, I. V. 3 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 3 Morbidelli, Alessandro 3 Moussu, Robert 3 Ollé, Mercè 3 Paleari, Simone 3 Pantazi, Chara 3 Penati, Tiziano 3 Peters, Han 3 Petrykiewicz, Izabela 3 Remizov, Alexey O. 3 Shaĭkhullina, Polina Alekseevna 3 Tian, Yuzhou 3 Usmanov, S. E. 3 Valls Anglés, Cláudia 3 Vidal, Claudio 3 Yang, Xiaomei 3 Zhang, Dongfeng 3 Zhuravlëv, Viktor Filippovich 2 Abiev, Nurlan Abievich ...and 669 more Authors all top 5 Cited in 205 Serials 54 Mathematical Notes 42 Journal of Applied Mathematics and Mechanics 40 Journal of Differential Equations 30 Doklady Mathematics 28 Journal of Mathematical Analysis and Applications 28 Journal of Mathematical Sciences (New York) 25 Programming and Computer Software 24 Physica D 22 Celestial Mechanics and Dynamical Astronomy 21 Regular and Chaotic Dynamics 16 Prikladnaya Matematika i Mekhanika 16 Annales de l’Institut Fourier 16 Computational Mathematics and Mathematical Physics 15 Qualitative Theory of Dynamical Systems 10 Applied Mathematics and Computation 10 Mathematics and Computers in Simulation 10 Communications in Nonlinear Science and Numerical Simulation 10 Differential Equations 9 Communications in Mathematical Physics 9 Bulletin des Sciences Mathématiques 9 Chebyshevskiĭ Sbornik 8 Chaos, Solitons and Fractals 8 Functional Analysis and its Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Advances in Mathematics 7 Journal of Soviet Mathematics 7 Siberian Mathematical Journal 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Russian Mathematics 7 Chaos 7 Journal of Dynamical and Control Systems 6 Proceedings of the American Mathematical Society 6 Ergodic Theory and Dynamical Systems 6 Journal of Dynamics and Differential Equations 6 Proceedings of the Steklov Institute of Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Bulletin de la Société Mathématique de France 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Discrete and Continuous Dynamical Systems. Series B 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Mathematical Physics 4 Mathematical Biosciences 4 Nonlinearity 4 Theoretical and Mathematical Physics 4 Ukrainian Mathematical Journal 4 Journal of Functional Analysis 4 Automation and Remote Control 4 Celestial Mechanics 4 Discrete and Continuous Dynamical Systems 4 Nonlinear Dynamics 4 Lobachevskii Journal of Mathematics 4 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Physica A 3 Physics Letters. A 3 Duke Mathematical Journal 3 Publications Mathématiques 3 Transactions of the American Mathematical Society 3 Transactions of the Moscow Mathematical Society 3 Applied Mathematics Letters 3 Vestnik St. Petersburg University. Mathematics 3 Sbornik: Mathematics 3 Mediterranean Journal of Mathematics 3 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Computer Physics Communications 2 International Journal of Theoretical Physics 2 Journal of the Franklin Institute 2 Lithuanian Mathematical Journal 2 Reports on Mathematical Physics 2 Mathematics of Computation 2 Journal of Geometry and Physics 2 Soviet Applied Mechanics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Symbolic Computation 2 Mathematical and Computer Modelling 2 Aequationes Mathematicae 2 Annals of Physics 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Indagationes Mathematicae. New Series 2 Journal of Nonlinear Science 2 Journal of Computer and Systems Sciences International 2 Russian Journal of Mathematical Physics 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Acta Mathematica Sinica. English Series 2 Journal of High Energy Physics 2 Doklady Physics 2 Annales Henri Poincaré 2 Nonlinear Analysis. Real World Applications 2 Dynamical Systems ...and 105 more Serials all top 5 Cited in 50 Fields 397 Ordinary differential equations (34-XX) 330 Dynamical systems and ergodic theory (37-XX) 225 Mechanics of particles and systems (70-XX) 49 Partial differential equations (35-XX) 46 Several complex variables and analytic spaces (32-XX) 43 Number theory (11-XX) 40 Computer science (68-XX) 26 Algebraic geometry (14-XX) 25 Global analysis, analysis on manifolds (58-XX) 25 Numerical analysis (65-XX) 19 Difference and functional equations (39-XX) 19 Fluid mechanics (76-XX) 17 Commutative algebra (13-XX) 16 Quantum theory (81-XX) 14 Functions of a complex variable (30-XX) 13 Differential geometry (53-XX) 11 Biology and other natural sciences (92-XX) 11 Systems theory; control (93-XX) 10 Operator theory (47-XX) 9 Nonassociative rings and algebras (17-XX) 8 Real functions (26-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Manifolds and cell complexes (57-XX) 6 History and biography (01-XX) 6 Mechanics of deformable solids (74-XX) 5 Field theory and polynomials (12-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 5 Astronomy and astrophysics (85-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Probability theory and stochastic processes (60-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.