Changes of variables near a periodic surface or invariant manifold
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References
- È. G. Belaga, The reducibility of a system of ordinary differential equations in the neighborhood of a conditionally periodic motion, Dokl. Akad. Nauk SSSR 143 (1962), 255–258 (Russian). MR 0138845 S. P. Diliberto, Perturbation theory of periodic surfaces. I, II, III, IV, O.N.R. Reports, Univ. of California, Berkeley, 1956-1957. —, Perturbation theorems for periodic surfaces, Rend. Circ. Mat. Palermo 9 (1960), 1-35, and 10 (1961), 1-51. —, Perturbation theory of ordinary differential equations, Seminar notes (unpublished), Univ. of California, Berkeley, 1962-1963.
- Al Kelley, Changes of variables near a periodic orbit, Trans. Amer. Math. Soc. 126 (1967), 316–334. MR 206399, DOI 10.1090/S0002-9947-1967-0206399-9 —, The stable, center-stable, center, center-unstable, unstable manifolds; an appendix in Transversal Mappings and Flows by R. Abraham and J. Robbin, Benjamin, New York, 1967.
- Al Kelley, Stability of the center-stable manifold, J. Math. Anal. Appl. 18 (1967), 336–344. MR 210998, DOI 10.1016/0022-247X(67)90061-3
- Carl Ludwig Siegel, Über die Normalform analytischer Differentialgleichungen in der Nähe einer Gleichgewichtslösung, Nachr. Akad. Wiss. Göttingen. Math.-Phys. Kl. Math.-Phys.-Chem. Abt. 1952 (1952), 21–30 (German). MR 57407
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 131 (1968), 356-364
- MSC: Primary 34.40
- DOI: https://doi.org/10.1090/S0002-9947-1968-0222383-4
- MathSciNet review: 0222383