The Wonder World of Complex Systems

Author:

ECHENAUSÍA-MONROY J. L.1ORCID,CUENSTA-GARCÍA J.r.1,PENA RAMİREZ J.1

Affiliation:

1. (CICESE) Center for Scientific Research and Higher Education at Ensenada

Abstract

Complex systems pervade nature and form the core of many technological applications. An exciting feature of these systems is that they exhibit a wide range of temporal behaviors, ranging from collective motion, synchronization, pattern formation, and chaos, among others. This has not only caught the attention of scientists, but also the interest of a wider audience. Consequently, our goal in this work is to provide a simple but descriptive explanation of some concepts related to complex systems. Specifically, the reader embarks on a journey that begins in the 17th century with the discovery of synchronization by Dutch scientist Christiaan Huygens and ends in the chaotic world explored by meteorologist Edward Lorenz around 1963. The journey is filled with examples, including synchronized clocks and metronomes, electronic fireflies that flash harmoniously, and even a chaotic dress.

Publisher

Akif Akgul

Subject

Mechanical Engineering,Electrical and Electronic Engineering,Biomedical Engineering,Engineering (miscellaneous)

Reference37 articles.

1. Abraham, N. B., A. M. Albano, A. Passamante, and P. E. Rapp, 2013 Measures of complexity and chaos, volume 208. Springer Science & Business Media.

2. Ambika, G., 2015 Ed lorenz: father of the ‘butterfly effect’. Resonance 20: 198–205.

3. Arellano-Delgado, A., C. Cruz-Hernández, R. López Gutiérrez, and C. Posadas-Castillo, 2015 Outer synchronization of simple firefly discrete models in coupled networks. Mathematical Problems in Engineering 2015.

4. Arenas, A., A. Díaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, 2008 Synchronization in complex networks. Physics reports 469: 93–153.

5. Atmospheres, C., 2022 Strange attractors: Visualisation of chaotic equations. https://chaoticatmospheres.com/mathrules-strange-attractors

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