کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1867986 | 1530638 | 2007 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A necessary condition for double scroll attractor existence in fractional-order systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A necessary condition for double scroll attractor existence in fractional-order systems A necessary condition for double scroll attractor existence in fractional-order systems](/preview/png/1867986.png)
چکیده انگلیسی
In this Letter, based on the stability theorem in fractional differential equations, a necessary condition is given to check existence of double scroll attractor in a fractional-order system. Numerical simulations are presented to evaluate accuracy of this condition in fractional-order Chen and Lü systems. Also, we show that using frequency domain approximation in the numerical simulations of fractional systems may result in wrong consequences. For example, this approximation can numerically demonstrate chaos in the non-chaotic fractional-order systems. Unfortunately, this mistake has occurred in the recent literature that found the lowest-order chaotic systems among fractional-order systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 367, Issues 1–2, 16 July 2007, Pages 102–113
Journal: Physics Letters A - Volume 367, Issues 1–2, 16 July 2007, Pages 102–113
نویسندگان
Mohammad Saleh Tavazoei, Mohammad Haeri,