Dynamical systems generated by two alternating vector fields
Department of Mathematics, Prague Institute of Chemical Technology, Technicka 5, 16628 Prague, Czech Republic
Corresponding author: Pavel.Pokorny@vscht.cz
Dynamical systems generated by two vector fields that alternate in time are investigated. The flow of each vector field is expressed as the exponential of a differential operator and the composition of the two flows can then be found as the composition of the two exponentials. A single autonomous vector field is found with the same period map. This vector field is shown to be expressed by the Baker-Campbell-Hausdorff formula.
© EDP Sciences, Springer-Verlag, 2008