کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5016546 | 1465303 | 2017 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamic preserving method with changeable memory length of fractional-order chaotic system
ترجمه فارسی عنوان
روش نگهداری پویا با طول حافظه متغیر سیستم نظم هرج و مرج قطعی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
In this paper, an asymptotically stability condition α+βâ¥3γ of the fractional-order Lü system is proposed by using the theory of stability. Under this asymptotically stability condition and the Riemann-Liouville fractional derivative definition, the numerical efficiency is obtained by combining the nonstandard finite difference method with the Grünwald-Letnikov method. In addition, the reported dynamic preserving properties of the nonstandard finite difference method are verified by comparing with the predictor-corrector algorithm. Moreover, in order to reduce the computation time of fractional derivatives, a model with changeable memory length of short memory principle is introduced and solved by the nonstandard finite difference method. In the numerical examples, about 30% of computation time can be reduced by applying the changeable memory length model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 92, June 2017, Pages 59-65
Journal: International Journal of Non-Linear Mechanics - Volume 92, June 2017, Pages 59-65
نویسندگان
Wenxian Xie, Jianwen Xu, Li Cai, Zifei Lin,