科研之友
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摘要
In this paper, let Sigma be a C-3 compact convex in R-2n satisfying the reversible condition N Sigma = Sigma with N = diag(-I-n, I-n). We prove that if there are exactly n geometrically distinct closed characteristics on Sigma and all of them are nondegenerate, then all of them must be brake orbits up to a suitable translation of time. Moreover, for n = 2 or 3, we prove that if there are exactly n geometrically distinct closed characteristics on Sigma, then all of them must be brake orbits up to a suitable translation of time.
- 出版日期2011-7
- 单位南开大学
