کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154392 1462578 2019 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extended self-similarity based multi-fractal detrended fluctuation analysis: A novel multi-fractal quantifying method
ترجمه فارسی عنوان
تجزیه و تحلیل نوسانات چندبخشی مبتنی بر خودپسندی مبتنی بر تمایل: روش جدید اندازه چند فراکتال
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
Based on multi-fractal detrended fluctuation analysis (MF-DFA) method, the extended self-similarity (ESS) is incorporated to develop a novel method to quantify multi-fractal characteristics. Detailed results show that compared with MF-DFA this new extended self-similarity based MF-DFA (ESS-MF-DFA) method can significantly extend scaling range and reduce uncertainties in estimating the exponents. Moreover, although ESS-MF-DFA method is developed from the DFA method with a fundamental assumption of a definite scaling range between fluctuation function and scale, ESS-MF-DFA can still work well even when DFA fails due to no scaling range between fluctuation function and scale. Furthermore, a criterion without estimating the generalized Hurst exponents is developed based on ESS-MF-DFA to distinguish multi-fractal from mono-fractal behavior and to quantify multi-fractal strength. All these results indicate that ESS-MF-DFA outperforms MF-DFA in reliably handling multi-fractal quantifications for much wider fields.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 568-576
نویسندگان
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