Bifurcation of periodic orbits on manifolds, and Hamiltonian systems
HTML articles powered by AMS MathViewer
- by M. Bottkol PDF
- Bull. Amer. Math. Soc. 83 (1977), 1060-1062
References
- 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 2. J. Moser, A theorem of Weinstein and bifurcation theory, Univ. Catholique de Louvain, Inst. de Math. Pure et Appl. Rapport No. 61.
- J. Moser, Periodic orbits near an equilibrium and a theorem by Alan Weinstein, Comm. Pure Appl. Math. 29 (1976), no. 6, 724–747. MR 426052, DOI 10.1002/cpa.3160290613
- Alan Weinstein, Lagrangian submanifolds and Hamiltonian systems, Ann. of Math. (2) 98 (1973), 377–410. MR 331428, DOI 10.2307/1970911
- Alan Weinstein, Normal modes for nonlinear Hamiltonian systems, Invent. Math. 20 (1973), 47–57. MR 328222, DOI 10.1007/BF01405263
- 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 455019, DOI 10.1002/cpa.3160300207
Additional Information
- Journal: Bull. Amer. Math. Soc. 83 (1977), 1060-1062
- MSC (1970): Primary 34C25, 58F05, 34C30; Secondary 70H99
- DOI: https://doi.org/10.1090/S0002-9904-1977-14384-X
- MathSciNet review: 0440615