The Emergence of Hyperchaos and Synchronization in Networks with Discrete Periodic Oscillators

Entropy

César Cruz-Hernández¹  Miguel Angel Murillo-Escobar¹  Liliana Cardoza-Avendaño²  Adrian Arellano-Delgado²  Rosa Martha López-Gutiérrez² 

[1] Electronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada (CICESE), Ensenada BC 22860, Mexico;Facultad de Ingeniería Arquitectura y Diseño, Universidad Autónoma de Baja California (UABC), (CONACYT-UABC), Ensenada BC 22860, Mexico;

关键词: emergence of hyperchaos;    complex dynamical systems;    network synchronization;    periodic oscillators;    entropy;   

DOI  :  10.3390/e19080413

来源: DOAJ

【 摘 要 】

In this paper, the emergence of hyperchaos in a network with two very simple discrete periodic oscillators is presented. Uncoupled periodic oscillators may represent, in the crudest and simplest form, periodic oscillators in nature, for example fireflies, crickets, menstrual cycles of women, among others. Nevertheless, the emergence of hyperchaos in this kind of real-life network has not been proven. In particular, we focus this study on the emergence of hyperchaotic dynamics, considering that these can be mainly used in engineering applications such as cryptography, secure communications, biometric systems, telemedicine, among others. In order to corroborate that the emerging dynamics are hyperchaotic, some chaos and hyperchaos verification tests are conducted. In addition, the presented hyperchaotic coupled system synchronizes, based on the proposed coupling scheme.

【 授权许可】

Unknown