Utilization of analytic programming for the stabilization of high order oscillations of chaotic Hénon map

Abstract

This research deals with a utilization of tool for symbolic regression, which is analytic programming, for the purpose of the synthesis of a new control law. This synthesized chaotic controller secures the stabilization of high periodic orbit - oscillations between several values of discrete chaotic system, which is Henon map. The paper consists of the descriptions of analytic programming as well as chaotic system, used heuristic and cost function. For experimentation, Self-Organizing Migrating Algorithm (SOMA) and Differential evolution (DE) were used.