-
2
-
-
0011609381
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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," St. Petersburg Math. J., 3, No. 1, 53-82 (1992).
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St. Petersburg Math. J.
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Bruno, A.D.1
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3
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First approximations of algebraic equations
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A. D. Bruno and A. Soleev, "First approximations of algebraic equations," Russian Acad. Sci. Doklady. Math., 49, No. 2, 291-293 (1994).
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Russian Acad. Sci. Doklady. Math.
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Bruno, A.D.1
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4
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The Newton polyhedron in the nonlinear analysis
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A. D. Bruno, "The Newton polyhedron in the nonlinear analysis," Math. Bull., 50 (1995).
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Math. Bull.
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Bruno, A.D.1
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5
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First approximations of differential equations
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A. D. Bruno, "First approximations of differential equations," Russian Acad. Sci. Doklady. Math., 49, No. 2, 334-339 (1994).
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Russian Acad. Sci. Doklady. Math.
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Bruno, A.D.1
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6
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0041403167
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General approach to the asymptotic analysis of singular perturbations
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(Edited by N. Aoki, K. Shiraiwa, and Y. Takahashi), World Scientific, Singapore
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A. D. Bruno, "General approach to the asymptotic analysis of singular perturbations," in: Dynamical Systems and Chaos (Edited by N. Aoki, K. Shiraiwa, and Y. Takahashi), 1, 11-17, World Scientific, Singapore (1995).
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Dynamical Systems and Chaos
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Bruno, A.D.1
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7
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0041904211
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Computation of a polyhedron and of normal cones of its faces
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Preprint [in Russian], Moscow
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A. Soleev and A. B. Aranson, "Computation of a polyhedron and of normal cones of its faces," Preprint [in Russian], 36, Inst. Appl. Math., Moscow (1994).
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Inst. Appl. Math.
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Soleev, A.1
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8
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Recherches sur les fonctions algebriques
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V. Puiseux, "Recherches sur les fonctions algebriques," J. Math. Pures Appl., 15, 365-480 (1850).
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Puiseux, V.1
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9
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A treatise of the method of fluxions and infinite series, with its application to the geometry of curve lines
-
(Edited by Harry Woolf), Johnson Reprint Corp., New York-London
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I. Newton, "A treatise of the method of fluxions and infinite series, with its application to the geometry of curve lines," in: The Mathematical Works of Isaac Newton (Edited by Harry Woolf), 1, 27-137, Johnson Reprint Corp., New York-London (1964).
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-
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Newton, I.1
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10
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The asymptotic behavior of solutions of nonlinear systems of differential equations
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A. D. Bruno, "The asymptotic behavior of solutions of nonlinear systems of differential equations," Sov. Math. Dokl, 3, pp. 464-467 (1962).
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Sov. Math. Dokl
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Bruno, A.D.1
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11
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Energy estimates and Newton polyhedra
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S. G. Gindikin, "Energy estimates and Newton polyhedra," Trans. Moscow Math. Soc, 31, 193-246 (1974).
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Trans. Moscow Math. Soc
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Gindikin, S.G.1
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12
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Newton polyhedra (resolution of singularities)
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A. G. Khovanskii, "Newton polyhedra (resolution of singularities)," in: J. Sov. Math., 27, 2811-2830 (1984).
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Khovanskii, A.G.1
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13
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Algorithms of nonlinear analysis
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A. D. Bruno, "Algorithms of nonlinear analysis," Russian Math. Surveys, 51, No. 5 (1996).
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Russian Math. Surveys
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Bruno, A.D.1
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Comparison of different generalizations of continued fractions
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Math. Notes
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16
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Normal form of differential equations
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A. D. Bruno, "Normal form of differential equations," Sov. Math. Dokl., 5, 1105-1108 (1964).
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Sov. Math. Dokl.
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Bruno, A.D.1
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17
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0001055171
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Analytical form of differential equations
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A. D. Bruno, "Analytical form of differential equations," Trans. Moscow Math. Soc, 25, 131-288 (1971);
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Trans. Moscow Math. Soc
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Bruno, A.D.1
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Sur les orbites interplanetaires qui rencontrent deux fois la terre
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M. Henon, "Sur les orbites interplanetaires qui rencontrent deux fois la terre," Bull. Astron. Ser. 3, 3, No. 3, 377-402 (1968).
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Henon, M.1
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23
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0038856054
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On periodic flybys of the moon
-
A. D. Bruno, "On periodic flybys of the moon," Celestial Mechanics, 24, No. 3, 255-268 (1981).
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Celestial Mechanics
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Bruno, A.D.1
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34250082038
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A general approach to the study of complex bifurcations
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A. D. Bruno, "A general approach to the study of complex bifurcations," Int. Appl. Mech., 28, No. 12, 849-853 (1993).
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25
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Singular perturbations in Hamiltonian Mechanics
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(Ed. by J. Seimenis), Plenum Press, New York
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A. D. Bruno, "Singular perturbations in Hamiltonian Mechanics," in: Hamiltonian Mechanics (Ed. by J. Seimenis), Plenum Press, New York (1994), pp. 43-49.
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Hamiltonian Mechanics
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Stability of periodic orbits in the restricted problem
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M. Henon and M. Guyot, "Stability of periodic orbits in the restricted problem," in: Periodic Orbits, Stability and Resonances (G. E. O. Giacaglia, ed.). Reidel, Dordrecht, (1970), pp. 349-374.
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27
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The Hamiltonian truncations of a Hamiltonian system
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A. D. Bruno and A. Soleev, "The Hamiltonian truncations of a Hamiltonian system," Preprint [in Russian], 55, Inst. Appl. Math., Moscow (1995).
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Inst. Appl. Math.
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28
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Newton polyhedra and Hamiltonian systems
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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," Russian Acad. Sci. Doklady. Math., 54, No. 1, 512-514 (1996).
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Russian Acad. Sci. Doklady. Math.
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30
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Simple (double, multiple) periodic solutions of the restricted three-body problem in the Sun-Jupiter case
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Preprints [in Russian] 67, Moscow
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A. D. Bruno, "Simple (double, multiple) periodic solutions of the restricted three-body problem in the Sun-Jupiter case," Preprints [in Russian] 66, 67, 68, Inst. Appl. Math., Moscow (1993).
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Inst. Appl. Math.
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31
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Zero-multiple and retrograde periodic solutions of the restricted three-body problem
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Preprint [in Russian], Moscow
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A. D. Bruno, "Zero-multiple and retrograde periodic solutions of the restricted three-body problem," Preprint [in Russian] 93, Inst. Appl. Math., Moscow (1996).
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Inst. Appl. Math.
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Computation of periodic oscillations of a satellite. Singular case
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Preprint [in Russian], Moscow
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A. D. Bruno and V. Yu. Petrovich, "Computation of periodic oscillations of a satellite. Singular case," Preprint [in Russian] 44, Inst. Appl. Math., Moscow (1994).
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First (second) limit problem for the equation of oscillations of a satellite
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Preprints [in Russian], Moscow
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A. D. Bruno and V. P. Varin, "First (second) limit problem for the equation of oscillations of a satellite," Preprints [in Russian] 124, 128, Inst. Appl. Math., Moscow (1995).
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Inst. Appl. Math.
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Limit problems for the equation of oscillations of a satellite
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A. D. Bruno and V. P. Varin, "Limit problems for the equation of oscillations of a satellite," Celestial Mechanics, 65, No. 4 (1997).
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Regularization of oscillations of a satellite on the very stretched orbit
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Preprint [in Russian], Moscow
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A. D. Bruno and V. Yu. Petrovich, "Regularization of oscillations of a satellite on the very stretched orbit," Preprint [in Russian] 4, Inst. Appl. Math., Moscow (1994).
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Inst. Appl. Math.
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The critical families of periodic solutions of the equation of oscillations of a satellite
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Preprint [in Russian], Moscow
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V. Varin, "The critical families of periodic solutions of the equation of oscillations of a satellite," Preprint [in Russian] 101, Inst. Appl. Math., Moscow (1996).
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Inst. Appl. Math.
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37
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0 of periodic solutions of the equation of oscillations of a satellite
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Preprint [in Russian], Moscow (to appear)
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0 of periodic solutions of the equation of oscillations of a satellite," Preprint [in Russian], Inst. Appl. Math., Moscow (1997) (to appear).
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Inst. Appl. Math.
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38
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Normal form of the equation of oscillations of a satellite in a singular case
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S. Yu. Sadov, "Normal form of the equation of oscillations of a satellite in a singular case," Math. Notes, 58, No. 5, 1234-1237 (1995).
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Higher approximations of the method of averaging for the equation of plane oscillations of a satellite
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Preprint [in Russian], Moscow
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S. Yu. Sadov, "Higher approximations of the method of averaging for the equation of plane oscillations of a satellite," Preprint [in Russian] 48, Inst. Appl. Math., Moscow (1996).
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Inst. Appl. Math.
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40
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Water waves for small surface tension: An approach via normal form
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G. Iooss and K. Kirchgaessner, "Water waves for small surface tension: an approach via normal form," Proc. Royal Soc. Edinburg, 122A, 267-299 (1992).
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41
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On matrices depending on parameters
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V. I. Arnol'd, "On matrices depending on parameters," Russ. Math. Surveys, 26, No. 2, 29-44 (1971).
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The first approximation of a reversible system of ordinary differential equations
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A. Soleev and A. Aranson, "The first approximation of a reversible system of ordinary differential equations," Preprint [in Russian] 28. Inst. Appl. Math., Moscow (1995).
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Inst. Appl. Math.
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43
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Local analysis of singularity of a reversible system of ordinary differential equations: Simple cases
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Preprint [in Russian], Moscow
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A. D. Bruno and A. Soleev, "Local analysis of singularity of a reversible system of ordinary differential equations: simple cases," Preprint [in Russian] 40. Inst. Appl. Math., Moscow (1995).
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Inst. Appl. Math.
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Local analysis of singularity of a reversible system of ordinary differential equations: Complex cases
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Preprint [in Russian], Moscow
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A. D. Bruno and A. Soleev, "Local analysis of singularity of a reversible system of ordinary differential equations: complex cases," Preprint [in Russian] 47. Inst. Appl. Math., Moscow (1995).
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Inst. Appl. Math.
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Homoclinic solutions of a reversible system of ordinary differential equations
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Preprint [in Russian]
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A. D. Bruno and A. Soleev, "Homoclinic solutions of a reversible system of ordinary differential equations," Preprint [in Russian], 54. Inst, of Appl. Math., Moscow (1995).
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Inst, of Appl. Math., Moscow
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The normal form of local mappings
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Computational aspect of some autonomous differential equations
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Local analysis of singularities of a reversible ODE system
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Russian Math. Surveys
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49
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Bifurcations of solutions in a reversible ODE system
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A. D. Bruno and A. Soleev, "Bifurcations of solutions in a reversible ODE system," Russian Acad. Sci. Doklady. Math., 52, No. 3, 419-421 (1995).
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Russian Acad. Sci. Doklady. Math.
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50
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Newton polyhedra and the asymptotic analysis of the viscous fluid flow around a flat plate
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Preprint [in Russian], Moscow
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A. D. Bruno and M. M. Vasil'ev, "Newton polyhedra and the asymptotic analysis of the viscous fluid flow around a flat plate," Preprint [in Russian], 44, Inst. Appl. Math., Moscow (1995).
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Inst. Appl. Math.
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Bifurcation of the periodic solutions in the symmetric case of a multiple pair of imaginary eigenvalues
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(Ed. S. S. Filippov), Selecta Math. Formerly Sovietica
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A. D. Bruno, Bifurcation of the periodic solutions in the symmetric case of a multiple pair of imaginary eigenvalues," in: Numerical Solution of Ordinary Differential Equations (Ed. S. S. Filippov), Selecta Math. Formerly Sovietica, 12, No. 1, 1-12 (1993).
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The normal form of a system, close to a Hamiltonian system
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A. D. Bruno, "The normal form of a system, close to a Hamiltonian system," Math. Notes, 48, No. 5/6, 1100-1108 (1991).
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Math. Notes
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On a dynamic system arising from a finite-dimensional approximation of the Schrödinger equation
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S. Yu. Sadov, "On a dynamic system arising from a finite-dimensional approximation of the Schrödinger equation," Math. Notes 56, No. 3, 960-971 (1994).
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Math. Notes
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Formal integral of a divergence free system
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A. D. Bruno and S. Yu. Sadov, "Formal integral of a divergence free system," Math. Notes, 57, No. 3, 565-572 (1995).
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Math. Notes
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Computation of periodic oscillations of a satellite
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A. D. Bruno and V. Yu. Petrovich, "Computation of periodic oscillations of a satellite," Math. Modelling, 9, No. 5 (1997).
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Math. Modelling
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|