群作用作为常微分方程的频闪映射
Group Actions as Stroboscopic Maps of Ordinary Differential Equations
摘要：
离散时间动力系统可以从群作用中导出。在目前的工作中，这种方法的应用系统的常微分方程的可能性进行了研究。可逆群作用被认为是常微分方程频闪映射的可能候选者。证明了Bloch方程的流是SU（2）群上可逆映射的唯一悬置。
英文摘要：
Discrete-time dynamical systems can be derived from group actions. In the present work possibility of application of this method to systems of ordinary differential equations is studied. Invertible group actions are considered as possible candidates for stroboscopic maps of ordinary differential equations. It is shown that flow of the Bloch equation is a unique suspension of an invertible map on the SU(2) group.
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