Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | Prof. Kuo-Chang Chen, National Tsinghua University, Taiwan
| | Inviter: | | Title:
| Heteroclinic orbits of the n-center problem | Time & Venue:
| 2019.09.03 16:00-17:00 N226 | Abstract:
| It is well-known that the N-center problem is chaotic when N ≥ 3. By regularizing collisions, one can associate the dynamics with a symbolic dynamical system which yields infinitely many periodic and chaotic orbits, possibly with collisions. it is a challenging task to construct chaotic orbits without any collision. In this talk we consider the planar N-center problem with collinear centers and N ≥ 4, and show that, for any fixed nonnegative energy and certain types of periodic free-time minimizers, there are infinitely many collision-free heteroclinic orbits connecting them. Our approach is based on minimization of a normalized action functional over paths within certain topological classes, and the exclusion of collision is based on some recent advances on local deformation methods. This is a joint work with Guowei Yu. | |
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