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Article overview
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On the minimal number of periodic orbits on some hypersurfaces in $mathbb{R}^{2n}$ | Jean Gutt
; Jungsoo Kang
; | Date: |
1 Aug 2015 | Abstract: | We study periodic orbits on a nondegenerate dynamically convex starshaped
hypersurface in $mathbb{R}^{2n}$ along the lines of Long and Zhu, but using
properties of the $S^1$-equivariant symplectic homology. We prove that there
exist at least $n$ distinct simple periodic orbits on any nondegenerate
starshaped hypersurface in $mathbb{R}^{2n}$ satisfying the condition that the
minimal Conley-Zehnder index is at least $n-1$. The condition is weaker than
dynamical convexity. | Source: | arXiv, 1508.0166 | Services: | Forum | Review | PDF | Favorites |
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