Fractional dynamics and synchronization of Kuramoto oscillators with nonlocal, nonsingular and strong memory
Fractional dynamics and synchronization of Kuramoto oscillators with nonlocal, nonsingular and strong memory
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DOI：
10.1016/j.aej.2019.12.015
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发表时间：
2020-08-01
影响因子：
6.8
通讯作者：
Torres, L.
中科院分区：
文献类型：
--
作者：
Coronel-Escamilla, A.;Lavin-Delgado, J. E.;Torres, L.
研究分数阶仓本振子的同步问题。其主要思想是证明当临界增益值小于计算值时，利用分数阶导数可以实现Kuramoto系统的同步。利用Atangana-Baleanu-Caputo导数证明了具有5个、10个和45个耦合振子的系统的同步。本文的分析证明，即使在较低的临界增益下，某些振荡器仍能实现同步。我们使用亚当斯方法的数值解。(C)2019年，任作家。由Elsevier B. V.代表亚历山大大学工程学院出版。这是CC BY-NC-ND许可证（http：//www.example.com licenses/by-nc-nd/4.0/）下的开放获取文章。creativecommons.org/
This work deals with the synchronization of fractional order Kuramoto oscillator. The main idea is to prove that, using fractional derivatives we can get synchronization in a Kuramoto system when the critical gain value is under the computed value. The Atangana-Baleanu-Caputo derivative is used to prove the synchronization in a system with 5, 10 and 45 coupled oscillators. The analysis developed in the present work proves that even when we use a lower value of the crit-ical gain, we can get synchronization in some oscillator. We present the numerical solution using the Adams method. (C) 2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).