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Bifurcation of cycle generation in some problems with symmetry
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A. L. Afendikov and K. I. Babenko, "Bifurcation of cycle generation in some problems with symmetry", Dokl. Akad. Nauk SSSR 300 (1988), 14-19; English transl., Soviet Math. Dokl. 37 (1988), 600-605.
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A. L. Afendikov and K. I. Babenko, "Bifurcation of cycle generation in some problems with symmetry", Dokl. Akad. Nauk SSSR 300 (1988), 14-19; English transl., Soviet Math. Dokl. 37 (1988), 600-605.
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3
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Bifurcation of homoclinic orbits to a saddle-focus in reversible systems with SO(2)-symmetry
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On a family of invertible SO(2)-invariant vector fields with a non-semisimple zero eigenvalue of multiplicity four
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A. Afendikov and A. Mielke, "On a family of invertible SO(2)-invariant vector fields with a non-semisimple zero eigenvalue of multiplicity four", Dokl. Ross. Akad. Nauk 369 (1999), 154-157; English transl. in Russian Acad. Sci. Dokl. Math. 60 (1999), 332-336.
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A. Afendikov and A. Mielke, "On a family of invertible SO(2)-invariant vector fields with a non-semisimple zero eigenvalue of multiplicity four", Dokl. Ross. Akad. Nauk 369 (1999), 154-157; English transl. in Russian Acad. Sci. Dokl. Math. 60 (1999), 332-336.
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6
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0001864360
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Calculation of Newton's polyhedron
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Moscow State Univ., Moscow (Russian)
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A. B. Aranson, "Calculation of Newton's polyhedron", in: Materials of the International Conference and Chebyshëv Readings Dedicated to the 175th Anniversary of P. L. Chebyshëv, vol. 1, Moscow State Univ., Moscow 1996, pp. 32-34. (Russian)
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Aranson, A.B.1
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7
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0001789466
-
Normal forms of functions in a neighbourhood of degenerate critical points
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V. I. Arnol'd, "Normal forms of functions in a neighbourhood of degenerate critical points", Uspekhi Mat. Nauk 29:2 (1974), 11-49; English transl., Russian Math. Surveys 29:2 (1974), 10-50.
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8
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0007083924
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V. I. Arnol'd, "Normal forms of functions in a neighbourhood of degenerate critical points", Uspekhi Mat. Nauk 29:2 (1974), 11-49; English transl., Russian Math. Surveys 29:2 (1974), 10-50.
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(1974)
Russian Math. Surveys
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9
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0004085297
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Nauka, Moscow
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V. I. Arnol'd, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of differentiable mappings. II. Monodromy and asymptotics of integrals, Nauka, Moscow 1984; English transl., Monographs in Mathematics 83, Birkhäuser, Boston MA 1988.
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Singularities of Differentiable Mappings. II. Monodromy and Asymptotics of Integrals
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Varchenko, A.N.2
Gusein-Zade, S.M.3
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10
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Birkhäuser, Boston MA
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V. I. Arnol'd, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of differentiable mappings. II. Monodromy and asymptotics of integrals, Nauka, Moscow 1984; English transl., Monographs in Mathematics 83, Birkhäuser, Boston MA 1988.
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(1988)
Monographs in Mathematics
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11
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34250406508
-
The number of roots of a system of equations
-
D. N. Bernshtein, "The number of roots of a system of equations", Funktsional. Anal. i Prilozhen. 9:3 (1975), 1-4; English transl., Functional Anal. Appl. 9 (1975), 183-185.
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(1975)
Funktsional. Anal. i Prilozhen.
, vol.9
, Issue.3
, pp. 1-4
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Bernshtein, D.N.1
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D. N. Bernshtein, "The number of roots of a system of equations", Funktsional. Anal. i Prilozhen. 9:3 (1975), 1-4; English transl., Functional Anal. Appl. 9 (1975), 183-185.
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(1975)
Functional Anal. Appl.
, vol.9
, pp. 183-185
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-
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13
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0001255972
-
Newton polyhedra
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Russian
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D. N. Bernshtein, A. G. Kushnirenko, and A. G. Khovanskii, "Newton polyhedra", Uspekhi Mat. Nauk 31:3 (1976), 201-202. (Russian)
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Bernshtein, D.N.1
Kushnirenko, A.G.2
Khovanskii, A.G.3
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15
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0040301065
-
The asymptotic behavior of solutions of non-linear systems of differential equations
-
A. D. Bruno, "The asymptotic behavior of solutions of non-linear systems of differential equations", Dokl. Akad. Nauk SSSR 143 (1962), 763-766; English transl., Soviet Math. Dokl. 3 (1962), 464-467.
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Dokl. Akad. Nauk SSSR
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A. D. Bruno, "The asymptotic behavior of solutions of non-linear systems of differential equations", Dokl. Akad. Nauk SSSR 143 (1962), 763-766; English transl., Soviet Math. Dokl. 3 (1962), 464-467.
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(1962)
Soviet Math. Dokl.
, vol.3
, pp. 464-467
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17
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Normal form of differential equations
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A. D. Bruno, "Normal form of differential equations", Dokl. Akad. Nauk SSSR 157 (1964), 1276-1279; English transl., Soviet Math. Dokl. 5 (1964), 1105-1108.
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A. D. Bruno, "Normal form of differential equations", Dokl. Akad. Nauk SSSR 157 (1964), 1276-1279; English transl., Soviet Math. Dokl. 5 (1964), 1105-1108.
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(1964)
Soviet Math. Dokl.
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, pp. 1105-1108
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19
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Power asymptotics of solutions of non-linear systems
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Russian
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A. D. Bruno, "Power asymptotics of solutions of non-linear systems", Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 329-364. (Russian)
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0001055171
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The analytic form of differential equations. I, II
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A. D. Bruno, "The analytic form of differential equations. I, II", Trudy Moskov. Mat. Obshch. 25 (1971), 119-262; 26 (1972), 199-239; English transl. in Transl. Moscow Math. Soc. 25 (1973), 26 (1974).
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A. D. Bruno, "The analytic form of differential equations. I, II", Trudy Moskov. Mat. Obshch. 25 (1971), 119-262; 26 (1972), 199-239; English transl. in Transl. Moscow Math. Soc. 25 (1973), 26 (1974).
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Transl. Moscow Math. Soc.
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A. D. Bruno, "The analytic form of differential equations. I, II", Trudy Moskov. Mat. Obshch. 25 (1971), 119-262; 26 (1972), 199-239; English transl. in Transl. Moscow Math. Soc. 25 (1973), 26 (1974).
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Transl. Moscow Math. Soc.
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24
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85164651705
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Power asymptotics of solutions of non-linear systems
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Preprint Moscow (Russian)
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A. D. Bruno, "Power asymptotics of solutions of non-linear systems", Preprint No. 54, Inst. Prikl. Mat. Keldysh. Akad. Nauk SSSR, Moscow 1973. (Russian)
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(1973)
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85164632155
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Local methods in non-linear analysis
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(E. V. Voskresenskii, ed.), Mordoviya State Univ., Saransk (Russian)
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A. D. Bruno, "Local methods in non-linear analysis", in: Functional analysis and some problems in qualitative theory of differential equations (E. V. Voskresenskii, ed.), Mordoviya State Univ., Saransk 1976, pp. 77-80. (Russian)
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Functional Analysis and Some Problems in Qualitative Theory of Differential Equations
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On periodic flybys of the moon
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Preprint Moscow (Russian)
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A. D. Bruno, "On periodic flybys of the moon", Preprint No. 91, Inst. Prikl. Mat. Keldysh. Akad. Nauk SSSR, Moscow 1978 (Russian); Celestial Mech. Dynam. Astronom. 24 (1981), 255-268.
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A. D. Bruno, "On periodic flybys of the moon", Preprint No. 91, Inst. Prikl. Mat. Keldysh. Akad. Nauk SSSR, Moscow 1978 (Russian); Celestial Mech. Dynam. Astronom. 24 (1981), 255-268.
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29
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Nauka, Moscow
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A. D. Bruno, The local method of non-linear analysis of differential equations, Nauka, Moscow 1979; English transl., Local methods in non-linear differential equations. I. The local method of non-linear analysis of differential equations, Springer-Verlag, Berlin-New York 1989.
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The Local Method of Non-linear Analysis of Differential Equations
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31
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Divergence of the real normalizing transformation
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Preprint Moscow (Russian)
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A. D. Bruno, "Divergence of the real normalizing transformation", Preprint No. 62, Inst. Prikl. Mat. Keldysh. Akad. Nauk SSSR, Moscow 1979 (Russian); Selecta Math. 12:1 (1993), pp. 13-23.
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33
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Divergence of a real normalizing transformation
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Mat. Zametki
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(1982)
Math. Notes
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, pp. 207-211
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35
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0040301062
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Bifurcations of periodic solutions in the symmetric case of a multiple pair of imaginary eigenvalues
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Collection: Numerical solution of ordinary differential equations (S. S. Filippov, ed.), Moscow (Russian)
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A. D. Bruno, "Bifurcations of periodic solutions in the symmetric case of a multiple pair of imaginary eigenvalues", Collection: Numerical solution of ordinary differential equations (S. S. Filippov, ed.), Inst. Prikl. Mat. Keldysh. Akad. Nauk SSSR, Moscow 1988, pp. 161-176 (Russian); Selecta Math. 12:1 (1993), pp. 1-12.
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(1993)
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40
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0039709091
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First approximations of differential equations
-
A. D. Bruno, "First approximations of differential equations", Dokl. Ross. Akad. Nauk 335 (1994), 413-416; English transl., Russian Acad. Sci. Dokl. Math. 49 (1994), 334-339.
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(1994)
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, pp. 413-416
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41
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A. D. Bruno, "First approximations of differential equations", Dokl. Ross. Akad. Nauk 335 (1994), 413-416; English transl., Russian Acad. Sci. Dokl. Math. 49 (1994), 334-339.
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(1994)
Russian Acad. Sci. Dokl. Math.
, vol.49
, pp. 334-339
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42
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0040895038
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Algorithms of non-linear analysis
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A. D. Bruno, "Algorithms of non-linear analysis", Uspekhi Mat. Nauk 51:5 (1996), 186; English transl., Russian Math. Surveys 51 (1996), 956.
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(1996)
Uspekhi Mat. Nauk
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, Issue.5
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A. D. Bruno, "Algorithms of non-linear analysis", Uspekhi Mat. Nauk 51:5 (1996), 186; English transl., Russian Math. Surveys 51 (1996), 956.
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(1996)
Russian Math. Surveys
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44
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Algorithms of the local non-linear analysis
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A. D. Bruno, "Algorithms of the local non-linear analysis", Nonlinear Anal. 30 (1997), 4683-4694.
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Newton polyhedra and power transformations
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Math. Comput. Simulation
, vol.45
, pp. 429-444
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Power geometry and four applications
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A. D. Bruno, "Power geometry and four applications", J. Math. Sci. 95 (1999), 2483-2512.
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, vol.95
, pp. 2483-2512
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85164646967
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Meromorphic reducibility of a linear triangular system of ordinary differential equations
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to appear
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A. D. Bruno, "Meromorphic reducibility of a linear triangular system of ordinary differential equations", Dokl. Ross. Akad. Nauk (2000) (to appear).
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(2000)
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Local uniformization of branches of a space curve and Newton polyhedra
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A. D. Bruno and A. Soleev, "Local uniformization of branches of a space curve and Newton polyhedra", Algebra i Analiz 3:1 (1991), 67-102; English transl. in St. Petersburg Math. J. 3 (1992), 53-82.
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(1991)
Algebra i Analiz
, vol.3
, Issue.1
, pp. 67-102
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A. D. Bruno and A. Soleev, "Local uniformization of branches of a space curve and Newton polyhedra", Algebra i Analiz 3:1 (1991), 67-102; English transl. in St. Petersburg Math. J. 3 (1992), 53-82.
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(1992)
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, vol.3
, pp. 53-82
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53
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The local uniformization of branches of a space curve
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(M. R. R. Moghaddam and M. A. Pourabdollah, eds.), Ferdowsi University, Mashhad
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A. D. Bruno and A. Soleev, "The local uniformization of branches of a space curve", Proc. 22nd Annual Iranian Math. Conf. (M. R. R. Moghaddam and M. A. Pourabdollah, eds.), Ferdowsi University, Mashhad 1991, pp. 72-85.
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(1991)
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, pp. 72-85
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54
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The local uniformization of branches of an algebraic curve
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(1992)
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, vol.131
, pp. 361-378
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55
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Classification of the singularities of the position function of mechanisms
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Russian
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A. D. Bruno and A. Soleev, "Classification of the singularities of the position function of mechanisms", Probl. Mash. Nadezhn. Mashin 1994, no. 1, 102-109. (Russian)
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Probl. Mash. Nadezhn. Mashin
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, Issue.1
, pp. 102-109
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First approximations of algebraic equations
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A. D. Bruno and A. Soleev, "First approximations of algebraic equations", Dokl. Ross. Akad. Nauk 335 (1994), 277-278; English transl., Russian Acad. Sci. Dokl. Math. 49 (1994), 291-293.
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A. D. Bruno and A. Soleev, "First approximations of algebraic equations", Dokl. Ross. Akad. Nauk 335 (1994), 277-278; English transl., Russian Acad. Sci. Dokl. Math. 49 (1994), 291-293.
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(1994)
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, vol.49
, pp. 291-293
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58
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0040895053
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Local analysis of singularities of a reversible system of ordinary differential equations
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A. D. Bruno and A. Soleev, "Local analysis of singularities of a reversible system of ordinary differential equations", Uspekhi Mat. Nauk 50:6 (1995), 169-170; English transl., Russian Math. Surveys 50 (1995), 1258-1259.
-
(1995)
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, vol.50
, Issue.6
, pp. 169-170
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60
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Bifurcations of solutions in a reversible system of ordinary differential equations
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A. D. Bruno and A. Soleev, "Bifurcations of solutions in a reversible system of ordinary differential equations", Dokl. Ross. Akad. Nauk 345 (1995), 590-592; English transl., Russian Acad. Sci. Dokl. Math. 52 (1995), 419-421.
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Dokl. Ross. Akad. Nauk
, vol.345
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, vol.52
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62
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Hamiltonian truncated systems of a Hamiltonian system
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A. D. Bruno and A. Soleev, "Hamiltonian truncated systems of a Hamiltonian system", Dokl. Ross. Akad. Nauk 349 (1996), 153-155; English transl., Russian Acad. Sci. Dokl. Math. 54 (1996), 512-514.
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Dokl. Ross. Akad. Nauk
, vol.349
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A. D. Bruno and A. Soleev, "Hamiltonian truncated systems of a Hamiltonian system", Dokl. Ross. Akad. Nauk 349 (1996), 153-155; English transl., Russian Acad. Sci. Dokl. Math. 54 (1996), 512-514.
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, vol.54
, pp. 512-514
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64
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0040301060
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Local analysis of a reversible ODE system and the Newton polyhedron
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A. D. Bruno and A. Soleev, "Local analysis of a reversible ODE system and the Newton polyhedron", Nonlinear Anal. 30 (1997), 4833-4838.
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(1997)
Nonlinear Anal.
, vol.30
, pp. 4833-4838
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Local analysis of singularities of a reversible system of ordinary differential equations
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A. D. Bruno and A. Soleev, "Local analysis of singularities of a reversible system of ordinary differential equations", Trudy Moskov. Mat. Obshch. 59 (1998), 3-72; English transl., Trans. Moscow Math. Soc. 1998, 1-64.
-
(1998)
Trudy Moskov. Mat. Obshch.
, vol.59
, pp. 3-72
-
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