Arnold, V. I. Geometrical methods in the theory of ordinary differential equations. Transl. from the Russian by Joseph Szuecs, ed. by Mark Levi. (English) Zbl 0507.34003 Grundlehren der Mathematischen Wissenschaften, Bd. 250. New York - Heidelberg - Berlin: Springer-Verlag. XI, 334 p., 153 figs. DM 94.00; $ 40.60 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 ReviewsCited in 421 Documents MSC: 34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations 58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis 34D30 Structural stability and analogous concepts of solutions to ordinary differential equations 37C75 Stability theory for smooth dynamical systems 34C29 Averaging method for ordinary differential equations Keywords:sigma-process; singularities; implicit equations; envelopes of families of curves; stationary Schrödinger equation; direction fields; Frobenius theorem; Grobman-Hartman theorem; averaging method PDFBibTeX XML