DETECTING AND STABILIZING PERIODIC ORBITS OF CHAOTIC HENON MAP THROUGH PREDICTIVE CONTROL

  • Deleanu Dumitru Maritime University of Constanta

Abstract

The predictive control method is one of the proposed techniques based on the location and stabilization of the unstable periodic orbits (UPOs) embedded in the strange attractor of a nonlinear mapping. It assumes the addition of a small control term to the uncontrolled state of the discrete system. This term depends on the predictive state ps + 1 and p(s + 1) + 1 iterations forward, where s is the length of the UPO and p is a large enough nonnegative integer. In this paper, extensive numerical simulations on Henon map are carried out to confirm the ability of the predictive control to detect and stabilize all the UPOs up to a maximum length of the period. The role played by each involved parameter is investigated and additional results to those reported in the literature are presented.

Published
Mar 20, 2019
How to Cite
DUMITRU, Deleanu. DETECTING AND STABILIZING PERIODIC ORBITS OF CHAOTIC HENON MAP THROUGH PREDICTIVE CONTROL. Constanta Maritime University Annals, [S.l.], v. 27, n. 223, mar. 2019. ISSN 2067-0427. Available at: <http://annals.cmu-edu.eu/index.php/cmuannals/article/view/65>. Date accessed: 22 oct. 2020.
Section
Section IV - Natural and Formal Sciences