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Open AccessArticle

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

1
Facultad de Ingeniería Arquitectura y Diseño, Universidad Autónoma de Baja California (UABC), (CONACYT-UABC), Ensenada BC 22860, Mexico
2
Electronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada (CICESE), Ensenada BC 22860, Mexico
*
Author to whom correspondence should be addressed.
Entropy 2017, 19(8), 413; https://doi.org/10.3390/e19080413
Received: 9 May 2017 / Revised: 8 August 2017 / Accepted: 8 August 2017 / Published: 16 August 2017
(This article belongs to the Special Issue Complex Systems, Non-Equilibrium Dynamics and Self-Organisation)
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. View Full-Text
Keywords: emergence of hyperchaos; complex dynamical systems; network synchronization; periodic oscillators; entropy emergence of hyperchaos; complex dynamical systems; network synchronization; periodic oscillators; entropy
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MDPI and ACS Style

Arellano-Delgado, A.; López-Gutiérrez, R.M.; Murillo-Escobar, M.A.; Cardoza-Avendaño, L.; Cruz-Hernández, C. The Emergence of Hyperchaos and Synchronization in Networks with Discrete Periodic Oscillators. Entropy 2017, 19, 413.

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