Chaotic Synchronization in Nearest-Neighbor Coupled Networks of 3D CNNs

 

H. Serrano-Guerrero¹, C. Cruz-Hernández^*2, R.M. López-Gutiérrez³, L. Cardoza-Avendaño³, R.A. ChávezPérez²

 

¹ Centro de Ingeniería y Tecnología (CITEC), Valle de las Palmas Universidad Autónoma de Baja California (UABC) Tijuana, B.C., México.

² Departamento de Electrónica y Telecomunicaciones Centro de Investigación Científica y de Educación Superior de Ensenada (CICESE) Ensenada, B.C., México. *ccruz@cicese.mx.

³ Facultad de Ingeniería, Arquitectura y Diseño Universidad Autónoma de Baja California Ensenada, B.C., México.

 

ABSTRACT

In this paper, a synchronization of Cellular Neural Networks (CNNs) in nearest-neighbor coupled arrays, is numerically studied. Synchronization of multiple chaotic CNNs is achieved by appealing to complex systems theory. In particular, we consider dynamical networks composed by 3D CNNs, as interconnected nodes, where the interactions in the networks are defined by coupling the first state of each node. Four cases of interest are considered: i) synchronization without chaotic master, ii) master-slave configuration (directed ring), iii) open ring configuration (a path), and iv) directed path configuration. In addition, an application to chaotic communication networks is given.

Keywords: Chaotic synchronization, nearest-neighbor coupled networks, cellular neural networks (CNNs), chaotic communications.

 

RESUMEN

En este trabajo se estudia numéricamente la sincronización de redes neuronales (CNNs) en arreglos acoplados con arreglos cercanos. Usando la teoría de sistemas complejos se logra la sincronización de múltiples CNNs. En particular, consideramos redes dinámicas compuestas por 3D CNNs, como nodos de la red, donde las interacciones en las redes se definen por el acoplamiento del primer estado de cada nodo de red. Se consideran cuatro casos de interés: i) sincronización sin maestro caótico, ii) configuración maestro-esclavo (anillo dirigido), iii) configuración de anillo abierto (camino) y iv) configuración de camino dirigido. Además, se da una aplicación a redes de comunicación caótica.

 

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Acknowledgments

This work was supported by the CONACYT, México under Research Grant No. 166654, and by UABC, México under Research No. 474.

 

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