Electronic Operation of Chaotic Systems: Part 1, Quadratic Analogues

Authors

DOI:

https://doi.org/10.29105/ingenierias25.92-55

Keywords:

Chaotic systems, Analog computation, Operational amplifiers, Quadratic nonlinearity

Abstract

Some applications of chaotic systems require their implementation through analog or digital electronics. In this first part, the electronic realization of some well-known chaotic systems with quadratic nonlinearities is summarized, by means of circuits with multipliers and operational amplifiers. The equivalence of its variables and electronic components with the normalized variables and parameters of chaotic mathematical models is demonstrated. In addition, the behavior of each circuit is compared to simulations of their mathematical models. In the following parts of this work, the electronic realization of piecewise linear chaotic systems and implementation in digital devices will be shown.

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Author Biographies

Francisco Antonio Rodríguez Cruz, Universidad Autónoma de Nuevo León

Graduated from 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 Escuela 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 UANL, he is a Full Time Professor at FIME, UANL. He received the 2009 UANL Research Award. He is currently the leader of the Mechatronics Technology and Innovation Academic Body. Since 2011 it has been recognized by PRODEP and is currently level I in the SNI. His areas of interest are analysis, estimation, instrumentation and control in dynamic systems, robotics and biomechatronics.

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Published

2022-01-30

How to Cite

Rodríguez Cruz, F. A., Chacón Rendón, C. de J., & Rodriguez-Liñan, A. (2022). Electronic Operation of Chaotic Systems: Part 1, Quadratic Analogues. Revista Ingenierías, 25(92), 28–49. https://doi.org/10.29105/ingenierias25.92-55

Issue

Vol. 25 No. 92 (2022): Vol. 25 Núm. 92 (2022): January-June 2022

Section

Artículos

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

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