Consider the following sequence of Lie maps using Vector Fields:
or in the language of ordinary DAMAPS,
FPP can compute Ft directly with the syntax:
of course the same thing applies to Poisson Bracket operators.
Click here for Example of with Vector Field Operators
Click here for Example of with Poisson Bracket Operators
Warning: It makes sense to change a Poisson Bracket
Operator by a non-symplectic map and obtain a general vector field. For
example: Ft·grad = A :h: A-1 It is definitely a meaningful equation. However, the following WILL NOT WORK in FPP if A is not symplectic: Ft= A h (1) The reasons are due to programming complexity. To achieve the intended result of equation (1), first turn h into a vector field. The following will work:
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