flow generated by vector field

*To*: mathgroup at smc.vnet.net*Subject*: [mg3257] flow generated by vector field*From*: Sascha.Unzicker at lrz.uni-muenchen.de*Date*: Wed, 21 Feb 1996 02:15:30 -0500*Organization*: Universitaet Muenchen (Germany)*Sender*: owner-wri-mathgroup at wolfram.com

Is there a way to compute the *flow* of a vector field (used in the theory of Lie derivatives), that satisfies d/dt sigma_mue(t,x0)= X_mue (sigma(t,x0)) example: sigma(t,(x,y))= (x Cos[t] - y Sin[t], x Sin[t] + y Cos[t]) is the flow generated by the vector field (-y @/@x, x @/@y) I tried DSolve without success. Thanks, Alexander Unzicker ==== [MESSAGE SEPARATOR] ====