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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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.

 

Invariant manifolds for some autonomous systems
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by F. S. Van Vleck PDF
Trans. Amer. Math. Soc. 107 (1963), 186-196 Request permission
References
    S. P. Diliberto, Perturbation theory of periodic surfaces. I, Tech. Rep. No. 24, Dept. of Math., Univ. of Calif., Berkeley, Calif., April, 1958. —, Perturbation theory of periodic surfaces. II, Tech. Rep. No. 9, Dept. of Math., Univ. of Calif., Berkeley, Calif., April, 1957.
  • S. P. Diliberto and G. Hufford, Perturbation theorems for non-linear ordinary differential equations, Contributions to the theory of nonlinear oscillations, vol. 3, Annals of Mathematics Studies, no. 36, Princeton University Press, Princeton, N.J., 1956, pp. 207–236. MR 0083071
  • George Hufford, Banach spaces and the perturbation of ordinary differential equations, Contributions to the theory of nonlinear oscillations, vol. 3, Annals of Mathematics Studies, no. 36, Princeton University Press, Princeton, N.J., 1956, pp. 173–195. MR 0083075
  • Walter T. Kyner, A fixed point theorem, Contributions to the theory of nonlinear oscillations, vol. 3, Annals of Mathematics Studies, no. 36, Princeton University Press, Princeton, N.J., 1956, pp. 197–205. MR 0081472
    • —, Invariant manifolds, Univ. of Southern Calif. Rep., Los Angeles, Calif., 1959.
  • Walter T. Kyner, Small periodic perturbations of an autonomous system of vector equations, Contributions to the theory of nonlinear oscillations, Vol. IV, Annals of Mathematics Studies, no. 41, Princeton University Press, Princeton, N.J., 1958, pp. 111–124. MR 0101946
  • Solomon Lefschetz, Differential equations: Geometric theory, 2nd ed., Pure and Applied Mathematics, Vol. VI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0153903
  • Norman Levinson, Small periodic perturbations of an autonomous system with a stable orbit, Ann. of Math. (2) 52 (1950), 727–738. MR 37974, DOI 10.2307/1969445
  • H. Poincaré, Les méthodes nouvelles de la mécanique céleste. Tome I. Solutions périodiques. Non-existence des intégrales uniformes. Solutions asymptotiques, Dover Publications, Inc., New York, N.Y., 1957 (French). MR 0087812
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Additional Information
  • © Copyright 1963 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 107 (1963), 186-196
  • MSC: Primary 57.48
  • DOI: https://doi.org/10.1090/S0002-9947-1963-0147732-2
  • MathSciNet review: 0147732