Evolutionary Chaos Controller Synthesis for Stabilizing Chaotic Hénon Maps

Investigation on Evolutionary Chaos Controller Synthesis for Hénon Map Stabilization

This research deals with the synthesis of control law by means of Analytic Programming (AP) for the Hénon Map, which is discrete chaotic system. The tool for symbolic regression (AP) is used for the purpose of stabilization of stable state and higher periodic orbits, which represent oscillations between several values of chaotic system. For experimentation, Self-Organizing Migrating Algorithm (...

Utilization Of Analytic Programming For The Stabilization Of High Order Oscillations Of Chaotic Hénon Map

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 Hénon map. The paper consists of the descriptions of analytic programming as we...

Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautonomous Hénon Map

A discrete chaotic multimodel based on 2D Hénon maps

In this paper, we propose to design a new family of discrete-time chaotic systems based on the use of the multimodel approach. This approach is used to represent a way to generate new family of discrete-time chaotic systems, from p discrete time chaotic basis models. Our results are illustrated on the specific case of a new discrete-time chaotic multimodel based on two chaotic 2D Hénon maps wit...

Image Encryption Based on Development of Hénon Chaotic Maps using Fractional Fourier Transform

In this paper, we propose an image encryption scheme based on the development of a Hénon chaotic map using fractional Fourier transform (FRFT) which is introduced in order to satisfy the necessity of high secure image transfer. This proposed algorithm combines the main advantages of fractional Fourier transform domain (FRFT), chaotic Arnold cat map encryption algorithm for confusion and our pro...