Time Scaling of Chaotic Systems: Application to Secure Communications

TL;DR

This paper introduces a chaos-based encryption method using time-scaling transformations of dynamical systems, enabling secure binary signal transmission over analog channels by leveraging private time-scaling functions as encryption keys.

Contribution

It presents a novel chaos encryption scheme utilizing time-scaling transformations, enhancing security by making the private key a time-scaling function.

Findings

The encryption scheme resists known decryption attacks.

The method ensures secure and reliable communication.

Time-scaling functions effectively serve as private keys.

Abstract

The paper deals with time-scaling transformations of dynamical systems. Such scaling functions operate a change of coordinates on the time axis of the system trajectories preserving its phase portrait. Exploiting this property, a chaos encryption technique to transmit a binary signal through an analog channel is proposed. The scheme is based on a suitable time-scaling function which plays the role of a private key. The encoded transmitted signal is proved to resist known decryption attacks offering a secure and reliable communication.