Chua's circuit model with Atangana-Baleanu derivative with fractional order

被引：187

作者：

Alkahtani, Badr Saad T. ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 1142, Riyadh 11989, Saudi Arabia

来源：

CHAOS SOLITONS & FRACTALS | 2016年 / 89卷

关键词：

Chua's circuit; Atangana-Baleanu derivative; New numerical approximation; Numerical simulations;

D O I：

10.1016/j.chaos.2016.03.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：547 / 551

页数：5