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Volumn 55, Issue 1, 2000, Pages 1-42

Self-similar solutions and power geometry

(1)  Bruno, A D a  

a NONE

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EID: 0034372717     PISSN: 00360279     EISSN: 14684829     Source Type: Journal    
DOI: 10.1070/RM2000v055n01ABEH000248     Document Type: Article
Times cited : (9)

References (165)
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    • Newton polyhedra and power transformations
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    • Power geometry and four applications
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    • Meromorphic reducibility of a linear triangular system of ordinary differential equations
    • to appear
    • 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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    • Local uniformization of branches of a space curve and Newton polyhedra
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    • (1991) Algebra i Analiz , vol.3 , Issue.1 , pp. 67-102
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    • (1992) St. Petersburg Math. J. , vol.3 , pp. 53-82
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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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    • Classification of the singularities of the position function of mechanisms
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    • Probl. Mash. Nadezhn. Mashin , vol.1994 , Issue.1 , pp. 102-109
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    • (1994) Dokl. Ross. Akad. Nauk , vol.335 , pp. 277-278
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    • (1994) Russian Acad. Sci. Dokl. Math. , vol.49 , pp. 291-293
  • 58
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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) Uspekhi Mat. Nauk , vol.50 , Issue.6 , pp. 169-170
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    • (1995) Russian Math. Surveys , vol.50 , pp. 1258-1259
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    • (1995) Dokl. Ross. Akad. Nauk , vol.345 , pp. 590-592
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    • Hamiltonian truncated systems of a Hamiltonian system
    • 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.
    • (1996) Dokl. Ross. Akad. Nauk , vol.349 , pp. 153-155
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    • (1996) Russian Acad. Sci. Dokl. Math. , vol.54 , pp. 512-514
  • 64
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    • Local analysis of a reversible ODE system and the Newton polyhedron
    • A. D. Bruno and A. Soleev, "Local analysis of a reversible ODE system and the Newton polyhedron", Nonlinear Anal. 30 (1997), 4833-4838.
    • (1997) Nonlinear Anal. , vol.30 , pp. 4833-4838
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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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    • Trans. Moscow Math. Soc. , vol.1998 , pp. 1-64
  • 68
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    • The limit problems for the equation of oscillation of a satellite
    • A. D. Bruno and V. P. Varin, "The limit problems for the equation of oscillation of a satellite", Celestial Mech. Dynam. Astronom. 67:1 (1997), 1-40.
    • (1997) Celestial Mech. Dynam. Astronom. , vol.67 , Issue.1 , pp. 1-40
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  • 69
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    • Singularities of oscillations of a satellite in highly eccentric elliptic orbits
    • A. D. Bruno and V. P. Varin, "Singularities of oscillations of a satellite in highly eccentric elliptic orbits", Nonlinear Anal. 30 (1997), 2541-2546.
    • (1997) Nonlinear Anal. , vol.30 , pp. 2541-2546
    • Bruno, A.D.1    Varin, V.P.2
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    • Generalized periodic solutions to the equation of oscillations of a satellite
    • A. D. Bruno and V. P. Varin, "Generalized periodic solutions to the equation of oscillations of a satellite", Z. Angew. Math. Mech. 79:2 (1999), 283-284.
    • (1999) Z. Angew. Math. Mech. , vol.79 , Issue.2 , pp. 283-284
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    • Asymptotic analysis of the viscous fluid flow around a flat plate by the Newton polyhedra
    • A. D. Bruno and M. M. Vasil'ev, "Asymptotic analysis of the viscous fluid flow around a flat plate by the Newton polyhedra", Nonlinear Anal. 30 (1997), 4765-4770.
    • (1997) Nonlinear Anal. , vol.30 , pp. 4765-4770
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    • Newton polyhedron and Prandtl equation for a boundary layer
    • A. D. Bruno and M. M. Vasil'ev, "Newton polyhedron and Prandtl equation for a boundary layer", Z. Angew. Math. Mech. 78:1 (1998), 309-310.
    • (1998) Z. Angew. Math. Mech. , vol.78 , Issue.1 , pp. 309-310
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    • Newton polyhedra and an algorithm for computing Hodge-Deligne numbers
    • V. I. Danilov and A. G. Khovanskii, "Newton polyhedra and an algorithm for computing Hodge-Deligne numbers", Izv. Akad. Nauk SSSR Ser. Mat. 50 (1986), 925-945; English transl., Math. USSR Izv. 29 (1987), 279-298.
    • (1986) Izv. Akad. Nauk SSSR Ser. Mat. , vol.50 , pp. 925-945
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    • V. I. Danilov and A. G. Khovanskii, "Newton polyhedra and an algorithm for computing Hodge-Deligne numbers", Izv. Akad. Nauk SSSR Ser. Mat. 50 (1986), 925-945; English transl., Math. USSR Izv. 29 (1987), 279-298.
    • (1987) Math. USSR Izv. , vol.29 , pp. 279-298
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