11. Nonlinear Transformation Studies on Electronic Computers
Paul R. Stein · 1990
S>The properties of certain non-linear transformations in Euclidean spaces--mainly in two or three dimensions--are examined. The transformations, generally of very special and simple algebraic form, are bounded and continuous, but in general many-to-one. The iteration of the transformations and the asymptotic and ergodic properties of the sequence of iterated points are of primary interest; but the invariant points, finite sets, and invariant subsets of the transformations and the means for obtaining them constructively are also considered. (D.C.W.)