In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach allows us to locally stabilize a priori unknown cycles of a given length. As a special case, we have a cycle stabilization using nonlinear feedback. Several examples are considered.
Dmitrishin, Dmitriy, I. M. Skrinnik, Alexander M. Stokolos.
"From Chaos to Order Through Mixing."
arXiv Repository: 1-15.