Various methods for estimating the self-similarity parameter and/or the intensity of long-range dependence in a time series are available. Some are more reliable than others. To discover the ones that work best, we apply the different methods to simulated sequences of fractional Gaussian noise and fractional ARIMA (0, d, 0). We also provide here a…
Fractals Template
Write in a clean editor, then format for Fractals in one click — DocuGuru applies the official World Scientific template with superscript references and exports a submission-ready PDF plus the editable LaTeX source. Free to start.
About the Fractals format
Fractals is a peer-reviewed journal published by World Scientific, covering Fractional Differential Equations Solutions, Mathematical Dynamics and Fractals, Complex Systems and Time Series Analysis.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Fractals 12, 45–58 (2023).
Formats any DOI in the closest standard style — Fractals has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Fractional Differential Equations Solutions Mathematical Dynamics and Fractals Complex Systems and Time Series Analysis Theoretical and Computational Physics Chaos control and synchronization |
| ISSN | 0218-348X |
| Citation impact (2-yr) | 2.47 |
| h-index | 85 |
| i10-index | 1,302 |
| Total citations | 50,758 |
| Top institutions publishing here | China Medical University |
| Journal website | www.worldscientific.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Fractals per year
Citation impact of Fractals by publication year
Citations each year’s papers have accumulated so far — the most recent years are still building up.
Most-cited papers in Fractals
In this paper, a unified model for describing the fractal characters of porous media is deduced. The theoretical predictions from the proposed unified model are compared with those from the previous models and from the box-counting method. The results from the proposed model are found to be in good agreement with both the previous models…
One-dimensional traffic flow is simulated by a cellular-automaton-type discrete model. As we increase the car density, the model shows a phase transition between a jam phase and a non-jam phase. By adding random perturbations we found a 1/f power spectrum in the jam phase, whereas a white noise is observed in the non-jam phase.
In this paper, a fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media is derived. The determined imbibition height and imbibition mass of capillary rise are in satisfying agreement with the existing models reported in the literature. It is found that the imbibition height and imbibition mass…
Turbulent intermittency plays a fundamental role in fields ranging from combustion physics and chemical engineering to meteorology. There is a rather general agreement that multifractals are being very successful at quantifying this intermittency. However, we argue that cascade processes are the appropriate and necessary physical models to achieve dynamical modeling of turbulent intermittency. We first…