From chaos to order through mixing

Abstract

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.

Cited by in corpus (3)

• Generalization of nonlinear control for nonlinear discrete systems
• Fast cycles detecting in non-linear discrete systems
• Further finding results for cycles by semilinear control