Synchronization of Chaotic Oscillators With Partial Linear Feedback Control
Abstract
We present a methodology for synchronization of chaotic oscillators with linear feedback control. The proposed method is based on analyzing the chaotic oscillator as a multi-mode linear system and deriving sufficient conditions for asymptotic stability. The oscillators are synchronized in a master-slave configuration, wherein a subset of the state variables for implementing the feedback control, enabling applications in cryptography for message encryption using the unused chaotic state variables. Controller stability is ensured through conventional root-locus technique for designing appropriate loop gain. We validate the methodology presented here with numerical simulations and experimental results obtained using an operational amplifier (op-amp) based electronic chaotic oscillator circuit.
Cite
@article{arxiv.1901.07770,
title = {Synchronization of Chaotic Oscillators With Partial Linear Feedback Control},
author = {Keyur Mistry and Sudeshna Dash and Siddharth Tallur},
journal= {arXiv preprint arXiv:1901.07770},
year = {2019}
}