Resonance identities and stability of symmetric closed characteristics on symmetric compact star-shaped hypersurfaces

Author:

Liu Hui,Long Yiming

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference33 articles.

1. Bangert, V., Long, Y.: The existence of two closed geodesics on every Finsler 2-sphere. Math. Ann. 346, 335–366 (2010)

2. Berestycki, H., Lasry, J.M., Mancini, G., Ruf, B.: Existence of multiple periodic orbits on starshaped Hamiltonian systems. Commun. Pure Appl. Math. 38, 253–289 (1985)

3. Cristofaro-Gardiner, D., Hutchings, M.: From one Reeb orbit to two. J. Differ. Geom. (to appear) arXiv:1202.4839v2 (2012)

4. Dell’Antoio, G., D’Onofrio, B., Ekeland, I.: Les systèmes hamiltoniens convexes et pairs ne sont pas ergodiques en général. C. R. Acad. Sci. Paris Sér. I(315), 1413–1415 (1992)

5. Ekeland, I.: An index theory for periodic solutions of convex Hamiltonian systems. Proc. Symp. Pure Math. 45, 395–423 (1986)

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