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Travaux de Moser sur la stabilité des mouvements périodiques. (French) Zbl 0132.19002

Sémin. Bourbaki 16 (1963/64), Exp. No. 264, 13 p. (1964).
The author summarizes the well-known paper of J. Moser [Nachr. Akad. Wiss. Göttingen, II. Math.-Phys. Kl. 1962, 1–20 (1962; Zbl 0107.29301)] and related papers, on invariant curves of an area-preserving mapping and applies this work to the restricted three-body problem.
Reviewer: W. R. Utz

MSC:

34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
37C75 Stability theory for smooth dynamical systems
37C27 Periodic orbits of vector fields and flows
70F07 Three-body problems

Citations:

Zbl 0107.29301
Full Text: Numdam EuDML