  Through-out human history the new generations have sought to create their own
artistic style while trying to avoid repeating, for example, earlier
generations' music. If we assume that this search occurs in a multi-dimensional
but confined space of creativity, this gives rise to highly complex dynamics.
We present a very simple mathematical model with two parameters which can serve
as a generic representation for past avoidance in finite space and is
qualitatively distinct from earlier dynamical systems. In the presented
radially confined form, the trajectory preserves its complexity while
retracting to the vicinity of a hypersurface of constant radius when considered
in higher dimension.
