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A novel secure communication system using Duffing's chaotic model

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Abstract

In this work the chaotic Duffing system was used in secure communications applications. The shift-keying scheme was used to modulate the different signals such as; OVEN and the sinusoidal signal. It has been proven that the chaotic carriers allow the process of modulating and demodulating signals easily and with high efficiency, and this is coupled with the coupling factor between the receiving and transmittance units. Due to the absence of identical chaotic systems in time series behavior, it is assumed that there are two different chaotic systems in the initial conditions, one of which is called the transmitting unit and the second is called the receiving unit, which are as follows: xi1, yi1, xi2, yi2, where the two systems were coupling to an external stimulus called the coupling factor. The coupling factor k was changed from 0 to 100 a.u. to obtain full synchronization at this value for the sinusoidal signal and OVEN. In addition, there are limitations for the frequency and amplitude values of the sinusoidal signal on the signal transmission secret, and limitations for the input values for the OVEN signal. After experimenting with many values of the coupling factor, it was found that the two units have complete synchronization when the value of k = 100. Where the error function becomes zero and falls within ± 0.001. It was observed that at amplitude and frequency A = 0.1, f = 0.01. the transmitted signal is clear and there is no secrecy in transmitting information, while at amplitude A = 0.1, f = 0.34 the signal is implicitly hidden within the chaos signal.

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Funding

The present research did not receive any grant from funding agencies in the public, commercial or not-for-profit sectors. So its personal work and the statement of declaration of interests are only mine and support has been subjected during the research work for the past year.

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Authors and Affiliations

  1. College of Science, Physics Department, University of Baghdad, Baghdad, Iraq

    Maryan Mohamed Manhil & Raied K. Jamal

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  1. Maryan Mohamed Manhil
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  2. Raied K. Jamal
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Contributions

Each co-author has made specific unique contributions to the work. The authors MMM prepared special program for solving the differential equations of the chaotic Chen and duffing systems using the Berkeley Madonna program and contributed to conceptualizations writing–original draft. The author RKJ prepared the special program for the secret communications and contributed to supervision and editing analysis.

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Correspondence to Raied K. Jamal.

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Manhil, M.M., Jamal, R.K. A novel secure communication system using Duffing's chaotic model. Multimed Tools Appl (2024). https://doi.org/10.1007/s11042-024-19026-w

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  • DOI: https://doi.org/10.1007/s11042-024-19026-w

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