Chua's circuit model with Atangana-Baleanu derivative with fractional order
Chua's circuit model with Atangana-Baleanu derivative with fractional order
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DOI：
10.1016/j.chaos.2016.03.020
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发表时间：
2016-08-01
影响因子：
7.8
通讯作者：
Alkahtani, Badr Saad T.
中科院分区：
文献类型：
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作者：
Alkahtani, Badr Saad T.
本文利用新建立的具有非局部和非奇异核的分数导数，扩展了对采用基尔霍夫电路定律的电路的分析，也称为蔡氏电路的动力学。提出了一种新的数值分析方法，并将其用于求解扩展模型。对不同的分数阶值进行了数值模拟，得到了新的混沌行为。(C)2016爱思唯尔有限公司。保留所有权利。
The analysis of circuit employing the Kirchhoff's circuit laws also known as dynamics of Chua's circuit is extended in this work using the newly established fractional derivative with nonlocal and non-singular kernel. A new numerical analysis is presented and used to solve the extended model. Some numerical simulations are done for different values of the fractional order and new chaotic behaviors are obtained. (C) 2016 Elsevier Ltd. All rights reserved.