On the Inclusion of Analytic Symplectic Maps in Analytic Hamiltonian Flows and Its Applications
On the Inclusion of Analytic Symplectic Maps in Analytic Hamiltonian Flows and Its Applications
复制标题
DOI：
10.1007/978-3-0348-7515-8_8
复制
发表时间：
1994
影响因子：
0.3
通讯作者：
S. Kuksin;J. Pöschel
中科院分区：
文献类型：
--
作者：
S. Kuksin;J. Pöschel
众所周知，哈密顿向量场流的时移是一个与恒等式同伦的辛同胚。此外，如果基础辛结构是精确的，那么这个复同态是精确辛的。因此，人们可能会问，以这种方式产生的所有映射的集合是什么样子的。也就是说，在一个哈密顿向量场的流中可以包含哪些与恒等式同伦的精确辛同胚？
Everybody knows that the time-1-shift of the flow of a hamiltonian vector-field is a symplectic diffeomorphism homotopic to the identity. Moreover, if the underlying symplectic structure is exact, then this diffeomorphism is exact symplectic. Thus one may ask what the set of all maps arising this way looks like. That is, which exact symplectic diffeomorphisms homotopic to the identity can be included in the flow of a hamiltonian vector field?