KAM-theory and stability problems. With a foreword by John Mather. (Q2784291)

This is a collection of Russian translations of the following ten papers by Jürgen Moser: NEWLINENEWLINENEWLINE-- On invariant curves of area-preserving mappings of an annulus. Nachr. Akad. Wiss. Göttingen, II. Math.-Phys. Kl. 1962, 1-20 (1962; Zbl 0107.29301); NEWLINENEWLINENEWLINE-- Remark on the paper ``On invariant curves of area-preserving mappings of an annulus''. Regul. Chaotic Dyn. 6, No. 3, 337-338 (2001; Zbl 0992.37053), NEWLINENEWLINENEWLINE-- A rapidly convergent iteration method and nonlinear partial differential equations. I, II. Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 20, 265-315, 499-535 (1966; Zbl 0144.18202); NEWLINENEWLINENEWLINE-- Lectures on Hamiltonian systems. Moscow: Mir (1973; Zbl 0275.70011); NEWLINENEWLINENEWLINE-- On the construction of invariant curves and Mather sets via a regularized variational principle. NATO ASI Ser., Ser. C 209, 221-234 (1987; Zbl 0658.49020); NEWLINENEWLINENEWLINE-- Minimal foliations on a torus. Lect. Notes Math. 1365, 62-99 (1989; Zbl 0689.49036); NEWLINENEWLINENEWLINE-- A stability theorem for minimal foliations on a torus. Ergodic Theory Dyn. Syst. 8, 251-281 (1988; Zbl 0632.57018); NEWLINENEWLINENEWLINE-- A Lagrangian proof of the invariant curve theorem for twist mappings (joint with \textit{M.Levi}). Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 69, 733-746 (2001; Zbl 1013.37048); NEWLINENEWLINENEWLINE-- Minimal solutions of variational problems on a torus. Ann. Inst. Henri Poincaré, Anal. Non Linéaire 3, 229-272 (1986; Zbl 0609.49029); NEWLINENEWLINENEWLINE-- On the persistence of pseudo-holomorphic curves on an almost complex torus (with an appendix by \textit{Jürgen Pöschel}). Invent. Math. 119, No. 3, 401-442 (1995; Zbl 0829.53030). NEWLINENEWLINENEWLINEThe book also contains a preface written by John Mather who gives a survey of papers published in this volume.