Synchronization of time delay systems using variable delay with reset for enhanced security in communication

TL;DR

This paper introduces a novel synchronization method for time delay systems using variable delays with resets, enhancing security in communication by making message interception and reconstruction difficult.

Contribution

It extends the variable delay with reset synchronization technique to time delay systems, proposes a new cryptosystem, and analyzes stability with numerical simulations.

Findings

Synchronization is secure against message reconstruction.

The method allows delay or anticipatory synchronization as additional keys.

Numerical simulations confirm stability and effectiveness.

Abstract

We have introduced a mechanism for synchronizing chaotic systems by one way coupling with a variable delay that is reset at finite intervals. Here we extend this method to time delay systems and suggest a new cryptosystem based on this. We present the stability analysis as applied to time delay systems and supplement this by numerical simulations in a standard time delay system like Mackey Glass system. We extend the theory to multi- delay systems and propose a bi channel scheme for the implementation of the scheme for communication with enhanced security. We show that since the synchronizing channel carries information from transmitter only at intervals of reset time, it is not susceptible to reconstruction. The message channel being separate can be made complex by linear combination of transmitter variable at different delay times using mutiple delay systems. This method has the additional advantage that it can be adjusted to be delay or anticipatory in synchronization and these provide two additional basic keys that are independent of system delay.