Experimental Synchronization of two Integrated Multi-scroll Chaotic Oscillators

 

J.M. Muñoz-Pacheco*¹, E. Tlelo-Cuautle², I. E. Flores-Tiro³ and R. Trejo-Guerra^4,2

 

¹ Facultad de Ciencias de la Electrónica, Benemérita Universidad Autónoma de Puebla, Puebla, Pue., México. *jesusm.pacheco@correo.buap.mx

² Departamento de Electrónica, Instituto Nacional de Astrofísica, Óptica y Electrónica Tonantzintla, Pue., México.

³ Departamento de Ingeniería Electrónica y Telecomunicaciones, Universidad Politécnica de Puebla. San Mateo Cuanalá, Pue., México.

⁴ SEMTECH-Snowbush Mexico Design, Aguascalientes, Ags., México.

 

ABSTRACT

Chaotic oscillators have been implemented with a wide variety of discrete electronic devices and quite few realizations using integrated circuit technology. This article describes the synchronization of two chaotic oscillators already fabricated with complementary metal-oxide-semiconductor (CMOS) integrated circuit technology of 0.5um and generating 3- and 5-scrolls. In order to attain the synchronization, we use a master-slave topology with unidirectional coupling. Within this context, a system parameter iterates until the correlation coefficient computed between the chaotic signals generated by the master and slave systems approximates to unity. For the following parameter, its value depends on the standard deviations from the individual signals contrary to previous one. By combining those statistical relationships according to the number of system parameters, we can synchronize integrated chaotic oscillators. Theoretical model simulations of two chaotic oscillators generating 3- and 5-scrolls, and experimental results for two integrated 3-scroll chaotic oscillators validate this approach. Stability and error analysis are also included.

Keywords: Chaos, Synchronization, Integrated Circuit, CMOS, Multi-scroll.

 

RESUMEN

Los osciladores caóticos se han implementado con una variedad amplia de dispositivos electrónicos discretos y muy pocos con tecnología de circuitos integrados. Este artículo describe la sincronización de dos osciladores caóticos fabricados con tecnología de circuitos integrados CMOS de 0.5um que generan 3- y 5-enrollamientos. Se utiliza la configuración maestro-esclavo para obtener la sincronización. A partir de esta configuración, se itera un parámetro del sistema hasta que el coeficiente de correlación entre las señales caóticas del maestro y el esclavo respectivamente, se aproxima a la unidad. Posteriormente, se calcula la razón de las desviaciones estándar para obtener el valor del siguiente parámetro, esto de forma inversa a la determinación del primero. Es posible sincronizar osciladores caóticos integrados al combinar estas medidas estadísticas en relación al número de parámetros del sistema. Simulaciones del modelo teórico de dos osciladores caóticos exhibiendo tres y cinco enrollamientos, además de resultados experimentales para tres enrollamientos confirman el método propuesto. Son incluidos los análisis de error y estabilidad.

 

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Acknowledgements

This work has been partially supported by SEP PROMEP and VIEP-BUAP under Projects BUAP-PTC-359 and 2014-VIEP Grants, respectively.

The authors would like to gratefully acknowldege CONACyT for the support under grant 131839-Y.

 

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