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Bruno, Alexander Dmitrievich

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Author ID: bruno.alexander-d Recent zbMATH articles by "Bruno, Alexander Dmitrievich"
Published as: Bruno, A.; Bruno, A. D.; Bruno, Alexander; Bruno, Alexander D.; Bryuno, A. D.; Bryuno, Alexander D.
Homepage: https://brunoa.name/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND
Documents Indexed: 192 Publications since 1962, including 15 Books
all top 5

Serials

44 Doklady Mathematics
13 Mathematical Notes
11 Soviet Mathematics. Doklady
6 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 Moscow University Mathematics Bulletin
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 Computational Mathematics and Mathematical Physics
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 Mekhanika Tverdogo Tela
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 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 De Gruyter Proceedings in Mathematics

Publications by Year

Citations contained in zbMATH Open

141 Publications have been cited 790 times in 483 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.
83
1989
A local method of nonlinear analysis for differential equations. Zbl 0496.34002
Bryuno, A. D.
76
1979
The analytic form of differential equations. Zbl 0263.34003
Bryuno, A. D.
59
1971
Asymptotic behavior and expansions of solutions of an ordinary differential equation. Zbl 1068.34054
Bryuno, A. D.
36
2004
Analytical form of differential equations. Zbl 0272.34018
Bryuno, A. D.
32
1973
Power geometry in algebraic and differential equations. Zbl 0903.34001
Bryuno, A. D.
22
1998
Power geometry in algebraic and differential equations. Transl. from the Russian. Corrected and enlarged ed. Zbl 0955.34002
Bruno, Alexander D.
15
2000
Asymptotic expansions of solutions of the sixth Painlevé equation. Zbl 1215.34113
Bruno, A. D.; Goryuchkina, I. V.
14
2010
Klein polyhedrals for two cubic Davenport forms. Zbl 0844.11047
Bryuno, A. D.; Parusnikov, V. I.
14
1994
Symmetries and convergence of normalizing transformations. Zbl 0804.34040
Bruno, A. D.; Walcher, S.
14
1994
Die analytische Form von Differentialgleichungen. Zbl 0269.34006
Bryuno, A. D.
14
1972
Comparison of various generalizations of continued fractions. Zbl 0915.11040
Bryuno, A. D.; Parusnikov, V. I.
12
1997
Normalization of a Hamiltonian system near an invariant cycle or torus. Zbl 0696.34020
Bryuno, A. D.
11
1989
On periodic flybys of the Moon. Zbl 0523.70017
Bruno, A. D.
11
1981
The analytic form of differential equations. II. Zbl 0283.34013
Bryuno, A. D.
11
1974
Stability sets of multiparameter Hamiltonian systems. Zbl 1272.70076
Batkhin, A. B.; Bruno, A. D.; Varin, V. P.
10
2012
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.
10
1994
Complicated expansions of solutions to an ordinary differential equation. Zbl 1155.34302
Bruno, A. D.
9
2006
Self-similar solutions and power geometry. Zbl 0957.34002
Bruno, A. D.
9
2000
A system similar to the normal form. Zbl 0715.34070
Bryuno, A. D.
9
1990
The normal form of a Hamiltonian system. Zbl 0656.70017
Bryuno, A. D.
9
1988
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.
6
2011
All asymptotic expansions of solutions to the sixth Painlevé equation. Zbl 1158.34347
Bruno, A. D.; Goryuchkina, I. V.
6
2007
On families of periodic solutions of the restricted three-body problem. Zbl 1219.70025
Bruno, Alexander D.; Varin, Victor P.
6
2006
Formal stability of Hamiltonian systems. Zbl 0154.34401
Bryuno, A. D.
6
1967
Convergence of transformations of differential equations to normal form. Zbl 0146.11301
Bryuno, A. D.
6
1965
Power asymptotics of solutions of non-linear systems. Zbl 0133.33604
Bryuno, A. D.
6
1965
Continued fraction expansion of algebraic numbers. Zbl 0154.30204
Bryuno, A. D.
6
1964
Periodic solutions of bounded three-body problem for small mass correlation. Zbl 1164.70010
Bryuno, A. D.; Varin, V. P.
5
2007
An axisymmetric boundary layer on a needle. Zbl 1146.76017
Bryuno, A. D.; Shadrina, T. V.
5
2007
Expansions of solutions to the sixth Painlevé equation. Zbl 1282.34058
Bryuno, A. D.; Goryuchkina, I. V.
5
2004
Bifurcations of solutions in an invertible system of ordinary differential equations. Zbl 0893.34028
Bruno, A. D.; Soleev, A.
5
1995
The restricted three-body problem. Plane periodic orbits. (Ogranichennaya zadacha trekh tel. Ploskie periodicheskie orbity). Ed. by K. I. Babenko. Zbl 0695.70001
Bruno, A. D.
5
1990
Bifurcations of solutions in the symmetric case. Zbl 0850.76229
Bryuno, A. D.
5
1989
Instability in a Hamiltonian system and the distribution of asteroids. Zbl 0266.34045
Bryuno, A. D.
5
1971
Normal form of differential equations. Zbl 0145.10202
Bryuno, A. D.
5
1964
The asymptotic behavior of solutions of nonlinear systems of differential equations. Zbl 0124.29902
Bryuno, A. D.
5
1962
Resolution of an algebraic singularity by power geometry algorithms. Zbl 1253.13022
Bruno, A. D.; Batkhin, A. B.
4
2012
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
Power asymptotics of solutions to an ODE system. Zbl 1148.34315
Bryuno, A. D.
4
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
Normal forms and integrability of ODE systems. Zbl 1120.34026
Bruno, A. D.; Edneral, V. F.
4
2006
Power asymptotics of solutions to an ordinary differential equation. Zbl 1149.34334
Bryuno, A. D.
4
2003
Power geometry as a new calculus. Zbl 1049.34007
Bruno, Alexander D.
4
2003
Power expansions of solutions of an algebraic or a differential equation. Zbl 1052.34009
Bruno, A. D.
4
2001
Formal integral of a divergence-free system. Zbl 0851.34005
Bryuno, A. D.; Sadov, S. Yu.
4
1995
First approximations of differential equations. Zbl 0855.35027
Bruno, A. D.
4
1994
The normal form of a system, close to a Hamiltonian system. Zbl 0719.34065
Bryuno, A. D.
4
1990
Local method of nonlinear analysis. Zbl 0676.34011
Bruno, A. D.
4
1988
Researches on the restricted three-body problem. II Periodic Solutions and arcs for u=0. Zbl 0389.70010
Bryuno, A. D.
4
1978
Normal form of nonlinear oscillations. Zbl 0227.34032
Bryuno, A. D.
4
1970
Investigation of a real algebraic surface. Zbl 1349.14178
Batkhin, A. B.; Bruno, A. D.
3
2015
Exponential expansions of solutions to an ordinary differential equation. Zbl 1269.34009
Bruno, A. D.
3
2012
Asymptotic solution of an algebraic equation. Zbl 1236.65049
Bruno, A. D.; Batkhin, A. B.
3
2011
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
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.
3
2006
Nonpower asymptotics of solutions to an ordinary differential equation. Zbl 1149.34335
Bryuno, A. D.
3
2003
Algorithms of the local nonlinear analysis. Zbl 0972.34005
Bruno, Alexander
3
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
The limit problems for the equation of oscillation of a satellite. Zbl 0919.70017
Bruno, Alexander D.; Varin, Victor P.
3
1997
Hamiltonian truncated systems of a Hamiltonian system. Zbl 0925.70159
Bryuno, A. D.; Soleev, A.
3
1996
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
First approximations of algebraic equations. Zbl 0886.32006
Bruno, A. D.; Soleev, A.
3
1994
Computation of periodic oscillations of a satellite. The regular case. Zbl 0847.70020
Bryuno, A. D.; Petrovich, V. Yu.
3
1993
Local uniformization of branches of a space curve and Newton polyhedra. Zbl 0760.14010
Bryuno, A. D.; Soleev, A.
3
1991
Local uniformization of branches of a space curve, and Newton polyhedra. Zbl 0791.14012
Bryuno, A. D.; Soleev, A.
3
1991
Researches on the restricted three-body problem. III. Properties of the solutions for \(\mu=0^*\). Zbl 0389.70011
Bryuno, A. D.
3
1978
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.
2
2015
Power geometry and elliptic expansions of solutions to the Painlevé equations. Zbl 1339.34063
Bruno, Alexander D.
2
2015
Expansions of solutions to the fifth Painlevé equation near its nonsingular point. Zbl 1242.34155
Bruno, A. D.; Parusnikova, A. V.
2
2012
Structure of the best Diophantine approximations and multidimensional generalizations of the continued fraction. Zbl 1311.11063
Bryuno, A. D.
2
2010
Asymptotic forms of solutions to the third Painlevé equation. Zbl 1193.34175
Bruno, A. D.; Goryuchkina, I. V.
2
2008
Powerlogarithmic expansions of solutions to a system of ordinary differential equations. Zbl 1157.34303
Bruno, A. D.
2
2008
Exotic expansions of solutions to an ordinary differential equation. Zbl 1158.34304
Bruno, A. D.
2
2007
Analysis of the Euler-Poisson methods of power geometry and normal form. Zbl 1150.70004
Bryuno, A. D.
2
2007
Structure of best Diophantine approximations. Zbl 1272.11085
Bryuno, A. D.
2
2005
Normal forms and integrability of ODE systems. Zbl 1169.34320
Bruno, Alexander D.; Edneral, Victor F.
2
2005
An axisymmetric boundary layer on a needle. Zbl 1219.76044
Bryuno, A. D.; Shadrina, T. V.
2
2004
Expansions of solutions to the fifth Painlevé equation. Zbl 1282.34095
Bryuno, A. D.; Karulina, E. S.
2
2004
On an axially symmetric flow of a viscous incompressible fluid around a needle. Zbl 1146.76592
Bryuno, A. D.; Shadrina, T. V.
2
2002
Power expansions of solutions of a system of algebraic and differential equations. Zbl 1051.34008
Bruno, A. D.
2
2001
Computation of periodic oscillations of a satellite. Zbl 1071.70532
Bryuno, A. D.; Petrovich, V. Yu.
2
1997
Local analysis of a reversible ODE system and the Newton polyhedron. Zbl 0893.34032
Bruno, Alexander; Soleev, Ahmadjon
2
1997
Ways of computing a normal form. Zbl 0880.34004
Bryuno, Alexander D.
2
1995
A general approach to the study of complex bifurcations. Zbl 0795.34028
Bryuno, A. D.
2
1992
On conditions for nondegeneracy in Kolmogorov’s theorem. Zbl 0802.58022
Bruno, A. D.
2
1992
The local uniformization of branches of a space curve. Zbl 1020.14019
Bruno, A. D.; Soleev, A.
2
1991
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
Divergence of real normalizing transformation. Zbl 0419.34036
Bryuno, A. D.
2
1979
Normal form of real differential equations. Zbl 0319.34010
Bryuno, A. D.
2
1976
Normal form of differential equations with a small parameter. Zbl 0314.34043
Bryuno, A. D.
2
1975
Analytic integral manifolds. Zbl 0303.34035
Bryuno, A. D.
2
1974
Divergence of transformations of differential equations to normal form. Zbl 0157.15102
Bryuno, A. D.
2
1967
On the parametrization of an algebraic curve. Zbl 1445.14081
Bryuno, A. D.
1
2019
Expansion of solutions to an ordinary differential equation into transseries. Zbl 1420.34034
Bruno, A. D.
1
2019
Computation of the best Diophantine approximations and of fundamental units of algebraic fields. Zbl 1353.11116
Bryuno, A. D.
2
2016
From Diophantine approximations to Diophantine equations. Zbl 1435.11089
Bruno, A. D.
1
2016
Investigation of a real algebraic surface. Zbl 1349.14178
Batkhin, A. B.; Bruno, A. D.
3
2015
Universal generalization of the continued fraction algorithm. Zbl 1437.11096
Bruno, A. D.
2
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.
10
2012
Resolution of an algebraic singularity by power geometry algorithms. Zbl 1253.13022
Bruno, A. D.; Batkhin, A. B.
4
2012
Exponential expansions of solutions to an ordinary differential equation. Zbl 1269.34009
Bruno, A. D.
3
2012
Expansions of solutions to the fifth Painlevé equation near its nonsingular point. Zbl 1242.34155
Bruno, A. D.; Parusnikova, A. V.
2
2012
Regular asymptotic expansions of solutions to one ODE and \(P_1-P_5\). Zbl 1290.34094
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
Space power geometry for one ODE and \(P_1-P_4 P_6\). Zbl 1290.34093
Bruno, Alexander D.
1
2012
Power-elliptic expansions of solutions to an ordinary differential equation. Zbl 1274.34018
Bruno, A. D.
1
2012
Power-exponential expansions of solutions to an ordinary differential equation. Zbl 1269.34010
Bruno, A. D.
1
2012
Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Zbl 1248.34002
Bruno, Alexander D. (ed.); Batkhin, Alexander B. (ed.)
1
2012
Local expansions of solutions to the fifth Painlevé equation. Zbl 1235.34235
Bruno, A. D.; Parusnikova, A. V.
6
2011
Asymptotic solution of an algebraic equation. Zbl 1236.65049
Bruno, A. D.; Batkhin, A. B.
3
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.
14
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.
2
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
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
Basic expansions of solutions to the sixth Painlevé equation in the generic case. Zbl 1185.34137
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.
2
2008
Powerlogarithmic expansions of solutions to a system of ordinary differential equations. Zbl 1157.34303
Bruno, A. D.
2
2008
Asymptotic forms of solutions to the fourth Painlevé equation. Zbl 1221.34238
Bruno, A. D.; Goryuchkina, I. V.
1
2008
Complicated expansions of solutions to a system of ordinary differential equations. Zbl 1221.34023
Bruno, A. D.
1
2008
On integrability of the Euler-Poisson equations. Zbl 1149.70006
Bruno, A. D.; Edneral, V. F.
1
2008
All asymptotic expansions of solutions to the sixth Painlevé equation. Zbl 1158.34347
Bruno, A. D.; Goryuchkina, I. V.
6
2007
Periodic solutions of bounded three-body problem for small mass correlation. Zbl 1164.70010
Bryuno, A. D.; Varin, V. P.
5
2007
An axisymmetric boundary layer on a needle. Zbl 1146.76017
Bryuno, A. D.; Shadrina, T. V.
5
2007
Exotic expansions of solutions to an ordinary differential equation. Zbl 1158.34304
Bruno, A. D.
2
2007
Analysis of the Euler-Poisson methods of power geometry and normal form. Zbl 1150.70004
Bryuno, 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.
6
2006
Power asymptotics of solutions to an ODE system. Zbl 1148.34315
Bryuno, A. D.
4
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
Normal forms and integrability of ODE systems. Zbl 1120.34026
Bruno, A. D.; Edneral, V. F.
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.
3
2006
On integrability of the Euler-Poisson equations. Zbl 1256.70005
Bruno, A. D.; Edneral, V. F.
1
2006
Generalizations of a continued fraction. Zbl 1241.11074
Bryuno, A. D.
1
2006
Simple exact solutions to the N. Kowalewski equations. Zbl 1160.70004
Bruno, A. D.; Gashenenko, I. N.
1
2006
Structure of best Diophantine approximations. Zbl 1272.11085
Bryuno, A. D.
2
2005
Normal forms and integrability of ODE systems. Zbl 1169.34320
Bruno, Alexander D.; Edneral, Victor F.
2
2005
Generalized continued fraction algorithm. Zbl 1272.11086
Bryuno, A. D.
1
2005
Asymptotic behavior and expansions of solutions of an ordinary differential equation. Zbl 1068.34054
Bryuno, A. D.
36
2004
Expansions of solutions to the sixth Painlevé equation. Zbl 1282.34058
Bryuno, A. D.; Goryuchkina, I. V.
5
2004
An axisymmetric boundary layer on a needle. Zbl 1219.76044
Bryuno, A. D.; Shadrina, T. V.
2
2004
Expansions of solutions to the fifth Painlevé equation. Zbl 1282.34095
Bryuno, A. D.; Karulina, E. S.
2
2004
Classes of families of generalized periodic solutions to the Beletsky equation. Zbl 1145.70325
Bruno, Alexander D.; Varin, Victor P.
1
2004
Power asymptotics of solutions to an ordinary differential equation. Zbl 1149.34334
Bryuno, A. D.
4
2003
Power geometry as a new calculus. Zbl 1049.34007
Bruno, Alexander D.
4
2003
Nonpower asymptotics of solutions to an ordinary differential equation. Zbl 1149.34335
Bryuno, A. D.
3
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.
2
2002
Power properties of motions of a rigid body. Zbl 1146.70312
Bryuno, A. D.
1
2002
Families of power expansions of modified motions of a rigid body. Zbl 1230.70005
Bryuno, A. D.; Lunev, V. V.
1
2002
Computation of power expansions of modified motions of a rigid body. Zbl 1223.70012
Bryuno, A. D.; Lunev, V. V.
1
2002
The analysis of the Euler-Poisson equations by methods of power geometry. Zbl 1079.70003
Bruno, A. D.
1
2002
Power expansions of solutions of an algebraic or a differential equation. Zbl 1052.34009
Bruno, A. D.
4
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.
15
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. Zbl 0903.34001
Bryuno, A. D.
22
1998
Newton polyhedra and power transformations. Zbl 1017.34500
Bruno, A. D.
1
1998
Normal forms. Zbl 1017.37502
Bruno, A. D.
1
1998
Comparison of various generalizations of continued fractions. Zbl 0915.11040
Bryuno, A. D.; Parusnikov, V. I.
12
1997
Algorithms of the local nonlinear analysis. Zbl 0972.34005
Bruno, Alexander
3
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
The limit problems for the equation of oscillation of a satellite. Zbl 0919.70017
Bruno, Alexander D.; Varin, Victor P.
3
1997
Computation of periodic oscillations of a satellite. Zbl 1071.70532
Bryuno, A. D.; Petrovich, V. Yu.
2
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.
1
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.
5
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
Ways of computing a normal form. Zbl 0880.34004
Bryuno, Alexander D.
2
1995
Newton polyhedra and Hamiltonian systems. Zbl 0920.58025
Soleev, A.; Bryuno, A. D.
1
1995
Klein polyhedrals for two cubic Davenport forms. Zbl 0844.11047
Bryuno, A. D.; Parusnikov, V. I.
14
1994
Symmetries and convergence of normalizing transformations. Zbl 0804.34040
Bruno, A. D.; Walcher, S.
14
1994
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.
10
1994
First approximations of differential equations. Zbl 0855.35027
Bruno, A. D.
4
1994
First approximations of algebraic equations. Zbl 0886.32006
Bruno, A. D.; Soleev, A.
3
1994
Computation of periodic oscillations of a satellite. The regular case. Zbl 0847.70020
Bryuno, A. D.; Petrovich, V. Yu.
3
1993
Double periodic solutions of the restricted three-body problem in the Sun-Jupiter case. Zbl 0845.70005
Bryuno, A. D.
1
1993
A general approach to the study of complex bifurcations. Zbl 0795.34028
Bryuno, A. D.
2
1992
On conditions for nondegeneracy in Kolmogorov’s theorem. Zbl 0802.58022
Bruno, A. D.
2
1992
...and 41 more Documents
all top 5

Cited by 440 Authors

60 Bruno, Alexander Dmitrievich
18 Goryuchkina, Irina V.
15 Samovol, Vladimir Simkhovich
12 Algaba, Antonio
11 Tkhaĭ, Valentin Nikolaevich
10 García, Cristóbal
10 Shamolin, Maksim Vladimirovich
10 Walcher, Sebastian
9 Batkhin, Alexandr B.
8 Gentile, Guido
8 Yang, Jiazhong
7 Edneral, Victor F.
7 Gaeta, Giuseppe
7 Kashchenko, Sergeĭ Aleksandrovich
7 Sevryuk, Mikhail Borisovich
6 Sadov, Sergey Yu.
6 Stolovitch, Laurent
5 Gontsov, Renat R.
5 Parusnikov, Vladimir Igor’evich
5 Reyes, Manuel
5 Romanovski, Valery G.
5 Varin, Victor P.
4 Basov, Vladimir Vladimirovich
4 Gamero, Estanislao
4 Karpenkov, Oleg Nikolaevich
4 Kozlov, Valeriĭ Vasil’evich
4 Lerman, Lev
4 Markeev, Anatoliĭ Pavlovich
4 Medvedeva, N. B.
4 Novikov, M. A.
4 Petrov, Aleksandr Georgievich
4 Yumagulov, Marat Gayazovich
4 Zhang, Xiang
3 Arnol’d, Vladimir Igorevich
3 Awrejcewicz, Jan
3 Corsi, Livia
3 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich
3 Dobrovol’skiĭ, Nikolai Nikolaevich
3 Freire Macías, Emilio
3 Giné, Jaume
3 Kurakin, Leonid G.
3 Llibre, Jaume
3 Matveev, Michael V.
3 Mytropol’skyĭ, Yuriĭ Oleksiĭovych
3 Moussu, Robert
3 Parusnikova, Anastasia V.
3 Ren, Zhihua
3 Zarmi, Yair
3 Zhuravlëv, Viktor Filippovich
2 Abramov, Sergeĭ Aleksandrovich
2 Bengochea, Abimael
2 Berezovskaya, Faina Semenovna
2 Carletti, Timoteo
2 Chen, Guanrong
2 Cicogna, Giampaolo
2 Cong, Fuzhong
2 Demina, Maria V.
2 Dong, Guangfeng
2 Dragović, Vladimir
2 Ecalle, Jean P.
2 Foiaş, Ciprian Ilie
2 Furta, Stanislav D.
2 Giorgilli, Antonio
2 Gramchev, Todor V.
2 Guzzetti, Davide
2 Hoang, Luan Thach
2 Hou, Xiyun
2 Howell, Kathleen Connor
2 Ibragimova, Liliya Sunagatovna
2 Ilyashenko, Yulij Sergeevich
2 Ito, Toshikazu
2 Kahn, Peter B.
2 Kalyakin, Leonid Anatol’evich
2 Khmelnov, Dennis E.
2 Khovanskiĭ, Askold Georgievich
2 Kudryashov, Nikolaĭ Alekseevich
2 Kunitsyn, A. L.
2 Li, Yong
2 Liu, Lin
2 Liu, Lingxia
2 Maslov, Viktor Pavlovich
2 Mattei, Jean-François
2 Morbidelli, Alessandro
2 Murru, Nadir
2 Naudot, Vincent
2 Okunev, Yu. M.
2 Ostrovskaya, Irina V.
2 Pérez-Chavela, Ernesto
2 Pérez-Molina, Manuel
2 Pérez Polo, Manuel F.
2 Pustyl’nikov, Lev D.
2 Pyartli, A. S.
2 Remizov, Alexey O.
2 Rerikh, K. V.
2 Roy, Nicolas David
2 Ryabenko, Anna A.
2 Safonov, Valeriĭ Fedorovich
2 Samoĭlenko, Anatoliĭ Mykhaĭlovych
2 Saut, Jean-Claude
2 Scárdua, Bruno C. Azevedo
...and 340 more Authors
all top 5

Cited in 137 Serials

46 Mathematical Notes
25 Doklady Mathematics
24 Journal of Mathematical Sciences (New York)
21 Journal of Applied Mathematics and Mechanics
16 Journal of Mathematical Analysis and Applications
16 Prikladnaya Matematika i Mekhanika
15 Annales de l’Institut Fourier
15 Journal of Differential Equations
15 Celestial Mechanics and Dynamical Astronomy
12 Physica D
11 Programming and Computer Software
10 Mathematics and Computers in Simulation
7 Functional Analysis and its Applications
7 Journal of Soviet Mathematics
7 Differential Equations
7 Chebyshevskiĭ Sbornik
6 Applied Mathematics and Computation
6 Siberian Mathematical Journal
6 Bulletin des Sciences Mathématiques
6 Chaos
6 Nonlinear Analysis. Theory, Methods & Applications
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Regular and Chaotic Dynamics
5 Proceedings of the Steklov Institute of Mathematics
4 Communications in Mathematical Physics
4 Ukrainian Mathematical Journal
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Computational Mathematics and Mathematical Physics
4 Automation and Remote Control
4 Celestial Mechanics
4 Journal of Dynamical and Control Systems
3 Journal of Mathematical Physics
3 Journal of Statistical Physics
3 Theoretical and Mathematical Physics
3 Chaos, Solitons and Fractals
3 Bulletin de la Société Mathématique de France
3 Duke Mathematical Journal
3 Journal of Functional Analysis
3 Proceedings of the American Mathematical Society
3 Transactions of the Moscow Mathematical Society
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Qualitative Theory of Dynamical Systems
2 International Journal of Theoretical Physics
2 Mathematics of Computation
2 Soviet Applied Mechanics
2 Publications Mathématiques
2 Journal of Computational and Applied Mathematics
2 Manuscripta Mathematica
2 Applied Mathematics Letters
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Journal of Dynamics and Differential Equations
2 Indagationes Mathematicae. New Series
2 Journal of Nonlinear Science
2 Vestnik St. Petersburg University. Mathematics
2 Russian Mathematics
2 Sbornik: Mathematics
2 Mathematical Problems in Engineering
2 Nonlinear Dynamics
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of High Energy Physics
2 Doklady Physics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 International Journal of Modern Physics A
1 Archive for History of Exact Sciences
1 Astrophysics and Space Science
1 Computer Physics Communications
1 Journal of the Franklin Institute
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Advances in Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Automatica
1 Functiones et Approximatio. Commentarii Mathematici
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Journal of Symbolic Computation
1 Journal of Complexity
1 Constructive Approximation
1 Discrete & Computational Geometry
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 Science in China. Series A
1 Communications in Partial Differential Equations
...and 37 more Serials
all top 5

Cited in 43 Fields

243 Ordinary differential equations (34-XX)
147 Dynamical systems and ergodic theory (37-XX)
121 Mechanics of particles and systems (70-XX)
30 Number theory (11-XX)
23 Partial differential equations (35-XX)
20 Several complex variables and analytic spaces (32-XX)
19 Computer science (68-XX)
18 Global analysis, analysis on manifolds (58-XX)
15 Algebraic geometry (14-XX)
15 Numerical analysis (65-XX)
13 Fluid mechanics (76-XX)
11 Quantum theory (81-XX)
10 Commutative algebra (13-XX)
8 Differential geometry (53-XX)
7 Functions of a complex variable (30-XX)
7 Operator theory (47-XX)
7 Systems theory; control (93-XX)
5 Nonassociative rings and algebras (17-XX)
5 Difference and functional equations (39-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Real functions (26-XX)
4 Convex and discrete geometry (52-XX)
4 Manifolds and cell complexes (57-XX)
4 Mechanics of deformable solids (74-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 History and biography (01-XX)
3 Astronomy and astrophysics (85-XX)
3 Biology and other natural sciences (92-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Functional analysis (46-XX)
2 Relativity and gravitational theory (83-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Probability theory and stochastic processes (60-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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