Estimation of communication-delays through adaptive synchronization of chaos

TL;DR

This paper presents an adaptive synchronization method for chaotic systems that can dynamically estimate and synchronize with unknown, time-varying communication delays, even in noisy environments.

Contribution

It introduces a novel adaptive strategy capable of estimating time-varying delays and synchronizing chaotic systems, with potential to identify additional parameters like signal amplitude.

Findings

Successfully estimates dynamic communication delays.

Maintains synchronization despite initial condition variations.

Effective in noisy communication channels.

Abstract

This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one and is transmitted with an unknown time-varying delay. We show that an appropriate adaptive strategy can be devised that is successful in dynamically identifying the time-varying delay and in synchronizing the two systems. The performance of our strategy with respect to the choice of the initial conditions and the presence of noise in the communication channels is tested by using numerical simulations. Another advantage of our approach is that in addition to estimating the communication-delay, the adaptive strategy could be used to simultaneously identify other parameters, such as e.g., the unknown time-varying amplitude of the received signal.