Group Actions as Stroboscopic Maps of Ordinary Differential Equations

Details Group Actions as Stroboscopic Maps of Ordinary Differential Equations Group Actions as Stroboscopic Maps of Ordinary Differential Equations

2008-04-14

arxiv.org/abs/0804.2128v3

Acta Physica Polonica B 40 (2009) 1605-1616

Physics

Mathematical Physics

LaTeX, 11 pages, 3 figures, simplified assumptions

Scientific paper

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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