Multiple Algebraic Function Nonlinear Systems-Reference-Cited by-同舟云学术

Multiple Algebraic Function Nonlinear Systems

Published:2023-06-01 Issue:2 Volume:69 Page:57-69
ISSN:2537-2726
Container-title:Bulletin of the Polytechnic Institute of Iași. Electrical Engineering, Power Engineering, Electronics Section
language:en
Short-container-title:

Author:

Grigoraş Carmen¹²,Grigoraş Victor³

Affiliation:

1. “Grigore T. Popa” University of Medicine and Pharmacy of Iaşi , Romania , Faculty of Biomedical Engineering

2. Institute of Computer Science, Romanian Academy , Iaşi , Romania

3. “Gheorghe Asachi” Technical University of Iaşi , Romania , Faculty of Electronics, Telecommunication and Information Technology

Abstract

Abstract In order to obtain a more complex dynamic behaviour for a nonlinear system several methods were used, including higher order design, system parameters variation and connecting analogue and discrete subsystems. The present paper analyses an approach to generate wide bandwidth signals by connecting three elementary algebraic building blocks to obtain a more complex non-linear function to be included in the analogue dynamic system. The resulting non-linear system attractor is presented, its Poincare section is analysed and statistical numerical simulations results are shown to highlight the possible application as noise generator.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/bipie-2023-0009

Reference7 articles.

1. Andreatos A.S., Volos C.K., Secure Text Encryption Based on Hardware Chaotic Noise Generator, 2nd International Conference on Cryptography and Its Applications in the Armed Forces, 2014.

2. Callegari S., Setti G., ADCs, Chaos, and TRNGs: a Generalized View Exploiting Markov Chain Lumpability Properties, Proceedings of the International Symposium on Circuits and Systems, ISCAS 2007, https://ieeexplore.ieee.org/document/4252609, pp. 213–216, 2007.

3. Endo T., Yokota J., Generation of White Noise by Using Chaos in Practical Phase Locked Loop Integrated Circuit Module, Proceedings of the International Symposium on Circuits and Systems, ISCAS 2007, https://ieeexplore.ieee.org/document/4252606, pp. 201–204, 2007.

4. Nejati H., Beirami A., Ali W. H., Discrete-time chaotic-map truly random number generators: design, implementation, and variability analysis of the zigzag map, Analog Integr. Circ. Sig. Process, vol. 73, no. 1, https://link.springer.com/article/10.1007/s10470-012-9893-9 pp. 363-374, 2012

5. Grigoraș V., Grigoraș C., Dynamic and Statistic Analysis of a Simple Chaotic Generator, 12th International Symposium on Signals, Circuits and Systems (ISSCS2015), https://ieeexplore.ieee.org/document/7204024?denied=, 2015, Iasi, Romania.