Symplectic Learning Seminar : Bifurcations of Hamiltonian Periodic Orbits
배한울
129동 309호
0
55
2025.12.01 23:51
| 구분 | 사교기하학 |
|---|---|
| 일정 | 2025-12-12(금) 10:00~12:00 |
| 세미나실 | 129동 309호 |
| 강연자 | 이동호 (QSMS) |
| 담당교수 | 강정수 |
| 기타 |
Title: Bifurcations of Hamiltonian Periodic Orbits
Abstract: In the 1970s, Meyer and many other mathematicians studied the bifurcation of Hamiltonian orbits, obtaining a number of fundamental results. One of the most important is that, in the generic case, such bifurcations fall into eight well-known types. This classification includes the familiar Lyapunov, birth–death, and period-doubling bifurcations, among others. In this talk, I will review this classical classification of bifurcations, together with several classical theorems used in their analysis, and illustrate them with a few examples. I will also discuss how these classical results relate to the modern theory of symplectic homology. This talk is based primarily on Meyer’s 1970 paper and the book by Abraham and Marsden.
