  A main result is that, roughly, a dense set of the infinitesimal
trace-preserving deformations of a semicircular system $s_1,..., s_n$ arise
from one-parameter groups of automorphisms of the free-group factor $L(F(n))$
generated by $s_1,..., s_n$. More generally the paper studies cyclic gradients
in von Neumann algebras, Lie algebras of noncommutative trace-preserving vector
fields and the class of cyclomorphic maps which preserve the orthogonals of
spaces of cyclic gradients.
