Electronic realization of some piecewise linear chaotic systems

Authors

Keywords:

Chaotic systems, analog computation, operational amplifiers, piecewise linear functions

Abstract

In the first part, the electronic realization with analog circuits of some continuous quadratic chaotic systems was shown. In this second part, the electronic realization of some piecewise linear chaotic systems is summarized, by means of circuits with operational amplifiers and diodes. The equivalence of its variables and electronic components with the normalized variables and parameters of chaotic mathematical models is demonstrated. In addition, results of the chaotic behavior of each circuit are illustrated compared to simulations of their established mathematical models. In the next part of this work, the implementation of chaotic systems in digital devices will be shown.

Downloads

Download data is not yet available.

Author Biographies

Francisco Antonio Rodríguez Cruz, Universidad Autónoma de Nuevo León

He was a student in the Electronics and Automation Engineering program at the Facultad de Ingeniería Mecánica y Eléctrica, of the Universidad Autónoma de Nuevo León.

César de Jesús Chacón Rendón, Universidad Autónoma de Nuevo León

Technical Bachelor in Design and Visual Communication (2016), at the scuela Industrial y Preparatoria Técnica Pablo Livas. He was a student of the Electronics and Automation Engineering program at the Facultad de Ingeniería Mecánica y Eléctrica, of the Universidad Autónoma de Nuevo León.

Angel Rodriguez-Liñan, Universidad Autónoma de Nuevo León

Doctor in Electrical Engineering (2009) from the UANL, belongs to the Mechatronics Technology and Innovation Academic Body. Since 2009 he is a Full Time Professor at FIME, UANL. He obtained the 2009 UANL Research Award. Since 2011 he has been recognized by PRODEP and SNI. His areas of interest are analysis, estimation, instrumentation and control in dynamic systems, robotics and biomechatronics.

References

Matsumoto, T. A Chaotic Attractor from Chua’s Circuit. IEEE Trans. Circuits Syst. (1984) 31(12): 1055-1058.

Kennedy, M.P. Robust Op Amp Realization of Chua’s Circuit. Frequenz. (1992) 46(3): 66-80.

Conde S., G. and Ramírez A, G.M. Estudio de dos circuitos caóticos. Revista Boliviana de Física. (2007) 13: 58-74.

Pisarchik, A. N. and Jaimes-Reátegui, R. Homoclinic Orbits in a piecewise linear Rössler-like circuit. Journal of Physics: Conference Series. (2005) 23: 014.

Canals, V., Morro, A., and Rossello, J. L. Random number generation based on the Rossler attractor. IEICE Proceeding Series. (2014) 1: 272-275.

Sprott, J.C. A new class of chaotic circuit. Physics Letters A, 2000; 266: 19-23.

Hambley, A.R., Electronics, (2000) Upper Saddle River, N.J., Prentice Hall.

Zanin M, Sevilla-Escoboza JR, Jaimes-Reátegui R, García-López JH, Huerta-Cuellar G, Pisarchik AN. Synchronization attack to chaotic communication systems. Discontinuity, Nonlinearity, and Complexity. (2013) 1: 333-343.

Downloads

Published

2022-07-29

How to Cite

Rodríguez Cruz, F. A., Chacón Rendón, C. de J., & Rodriguez-Liñan, A. (2022). Electronic realization of some piecewise linear chaotic systems. Revista Ingenierías, 25(93), 3–22. Retrieved from https://ingenierias.uanl.mx/index.php/i/article/view/65

Issue

Vol. 25 No. 93 (2022): Vol. 25 Num 93 (2022); July-December 2022

Section

Artículos

License

Copyright (c) 2022 Francisco Antonio Rodríguez Cruz, César de Jesús Chacón Rendón, Angel Rodriguez-Liñan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.