Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415185 | Journal of Functional Analysis | 2014 | 41 Pages |
Abstract
Resonance relations among periodic orbits on given energy hypersurfaces are very important for getting deeper understanding of the dynamics of the corresponding Hamiltonian systems. In this paper, we establish two new resonance identities for closed characteristics on every compact star-shaped hypersurface Σ in R2n when the number of geometrically distinct closed characteristics on Σ is finite, which extend those identities established by C. Viterbo in 1989 for star-shaped hypersurfaces assuming in addition that all the closed characteristics and their iterates are non-degenerate, and that by W. Wang, X. Hu and Y. Long in 2007 for strictly convex hypersurfaces in R2n.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hui Liu, Yiming Long, Wei Wang,