Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On singular Hamiltonians: the existence of quasi-periodic solutions and nonlinear stability
HTML articles powered by AMS MathViewer

by Chjan C. Lim PDF
Bull. Amer. Math. Soc. 20 (1989), 35-40
References
    [Al] V. I. Arnold, Math, methods of classical mechanics, Springer-Verlag, Berlin and New York, 1980. [A2] V. I. Arnold, Russian Math. Surveys 18(5) (1963), 9.
  • Charles Conley, On some new long periodic solutins of the plane restricted three body problem, Comm. Pure Appl. Math. 16 (1963), 449–467. MR 154724, DOI 10.1002/cpa.3160160405
  • Chjan C. Lim, Singular manifolds and quasi-periodic solutions of Hamiltonians for vortex lattices, Phys. D 30 (1988), no. 3, 343–362. MR 947905, DOI 10.1016/0167-2789(88)90025-5
  • [L2] Chjan C. Lim, Symplectic techniques for vortex N-body problems, Comm. Math. Phys. (submitted).
  • Chjan C. Lim, Quasi-periodic dynamics of desingularized vortex models, Phys. D 37 (1989), no. 1-3, 497–507. Advances in fluid turbulence (Los Alamos, NM, 1988). MR 1024401, DOI 10.1016/0167-2789(89)90154-1
  • Chjan C. Lim, On Hamiltonian singularities and applications, Differential equations and applications, Vol. I, II (Columbus, OH, 1988) Ohio Univ. Press, Athens, OH, 1989, pp. 140–145. MR 1026211
  • Jürgen Moser, Stable and random motions in dynamical systems, Annals of Mathematics Studies, No. 77, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1973. With special emphasis on celestial mechanics; Hermann Weyl Lectures, the Institute for Advanced Study, Princeton, N. J. MR 0442980
  • [M2] J. Moser, Nachr. Akad. Wiss. Gott. Math. Phys. Kl. 2 (1982), 1.
  • J. Moser, Regularization of Kepler’s problem and the averaging method on a manifold, Comm. Pure Appl. Math. 23 (1970), 609–636. MR 269931, DOI 10.1002/cpa.3160230406
  • [MO] G. Joyce and D. Montgomery, J. Plasma Phys. 10 (1973), 107.
  • K. R. Meyer and D. S. Schmidt, The stability of the Lagrange triangular point and a theorem of Arnol′d, J. Differential Equations 62 (1986), no. 2, 222–236. MR 833418, DOI 10.1016/0022-0396(86)90098-7
  • Jerrold Marsden and Alan Weinstein, Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids, Phys. D 7 (1983), no. 1-3, 305–323. Order in chaos (Los Alamos, N.M., 1982). MR 719058, DOI 10.1016/0167-2789(83)90134-3
  • S. L. Ziglin, Nonintegrability of the problem of the motion of four point vortices, Dokl. Akad. Nauk SSSR 250 (1980), no. 6, 1296–1300 (Russian). MR 564329
Similar Articles
Additional Information
  • Journal: Bull. Amer. Math. Soc. 20 (1989), 35-40
  • MSC (1985): Primary 34C28, 34D99, 70H05; Secondary 76C05, 70F10
  • DOI: https://doi.org/10.1090/S0273-0979-1989-15689-9
  • MathSciNet review: 955317