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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Bifurcation of periodic orbits on manifolds, and Hamiltonian systems


Author: M. Bottkol
Journal: Bull. Amer. Math. Soc. 83 (1977), 1060-1062
MSC (1970): Primary 34C25, 58F05, 34C30; Secondary 70H99
MathSciNet review: 0440615
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  • 1. J. Moser, Regularization of Kepler’s problem and the averaging method on a manifold, Comm. Pure Appl. Math. 23 (1970), 609–636. MR 0269931 (42 #4824)
  • 2. J. Moser, A theorem of Weinstein and bifurcation theory, Univ. Catholique de Louvain, Inst. de Math. Pure et Appl. Rapport No. 61.
  • 3. J. Moser, Periodic orbits near an equilibrium and a theorem by Alan Weinstein, Comm. Pure Appl. Math. 29 (1976), no. 6, 724–747. MR 0426052 (54 #13998)
  • 4. Alan Weinstein, Lagrangian submanifolds and Hamiltonian systems, Ann. of Math. (2) 98 (1973), 377–410. MR 0331428 (48 #9761)
  • 5. Alan Weinstein, Normal modes for nonlinear Hamiltonian systems, Invent. Math. 20 (1973), 47–57. MR 0328222 (48 #6564)
  • 6. Alan Weinstein, Symplectic 𝑉-manifolds, periodic orbits of Hamiltonian systems, and the volume of certain Riemannian manifolds, Comm. Pure Appl. Math. 30 (1977), no. 2, 265–271. MR 0455019 (56 #13260)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1977-14384-X
PII: S 0002-9904(1977)14384-X