Cryptographic pseudo-random sequences from the chaotic Hénon map

Cryptographic Pseudo-Random Sequences from the Chaotic Henon Map

A scheme for pseudo-random binary sequence generation based on the two-dimensional discrete-time Hénon map is proposed. Properties of the proposed sequences pertaining to linear complexity, linear complexity profile, correlation and auto-correlation are investigated. All these properties of the sequences suggest a strong resemblance to random sequences. Results of statistical testing of the seq...

Is the Hénon attractor chaotic?

By performing a systematic study of the Hénon map, we find low-period sinks for parameter values extremely close to the classical ones. This raises the question whether or not the well-known Hénon attractor-the attractor of the Hénon map existing for the classical parameter values-is a strange attractor, or simply a stable periodic orbit. Using results from our study, we conclude that even if t...

The Behavior of Pseudo-Random Sequences

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

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...