FRACTAL TOPOGRAPHY AND COMPLEXITY ASSEMBLY IN MULTIFRACTALS
| العنوان: | FRACTAL TOPOGRAPHY AND COMPLEXITY ASSEMBLY IN MULTIFRACTALS |
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| المؤلفون: | YI JIN, JUNLING ZHENG, JIABIN DONG, QIAOQIAO WANG, YONGHE LIU, BAOYU WANG, HUIBO SONG |
| المصدر: | Fractals. 30 |
| بيانات النشر: | World Scientific Pub Co Pte Ltd, 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Applied Mathematics, Modeling and Simulation, Geometry and Topology |
| الوصف: | Multifractals are the general form of scale invariances, where a fractal behavior is repeated by a similar object or pattern. Although the multifractal spectrum has been accepted as a measure of behavioral complexity, it cannot solely determine a fractal behavior, thus leaving the control mechanisms of multifractality unclarified. Here, we reexamine the multifractality, and discover two key features of scaling behaviors in the fractal behavior, i.e. multiplicity and repetition. Afterwards, we establish multifractal topography to unify the scale-invariance definition of arbitrary fractal behavior, clarify the physical meaning of singularity and its significance, construct a scale-invariance tree to delineate the control mechanisms in fractality, and then identify multifractals to be dual-complexity systems with the original and behavioral complexities controlling the scaling type and the scale-invariance property independently. This study gives insight into quantitative fractal theory and provides fundamental support for the mechanism exploration of nonlinear dynamics. |
| تدمد: | 1793-6543 0218-348X |
| DOI: | 10.1142/s0218348x22500529 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::be6c48f3346f7f63a12020eeffb9932e https://doi.org/10.1142/s0218348x22500529 |
| رقم الانضمام: | edsair.doi...........be6c48f3346f7f63a12020eeffb9932e |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17936543 0218348X |
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| DOI: | 10.1142/s0218348x22500529 |