EPJ ST Special Issue: Frontiers of Fractals for Complex Systems: Recent Advances and Future Challenges
- Published on 23 March 2021
The fractal theory has been born which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. The idea of fractals enables us to see a certain symmetry and order even in an otherwise seemingly disordered and complex system. The importance of the discovery of fractals can hardly be exaggerated. Since its discovery there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. A large number of applications dealing with the fractal geometry of things as diverse as the price changes and salary distributions, turbulence, statistics of error in telephone message, word frequencies in written texts, in aggregation and fragmentation processes are just to name a few.
The effective way to define a fractal is as an object which appears self-similar under varying degrees of magnification. That is, either a part is similar to the whole or snapshots of the same system at different times are similar to one another albeit it differs in size. According to self-similar property, fractals can be characterized into two types namely random fractal and deterministic fractal. Self-similarity appear in many models across sciences and technology. They can be either discrete or continuous, finite or infinite dimensional, and deterministic or with random patterns.
The advent in recent years of inexpensive computer power and graphics has led to the study of non-traditional geometric objects in many fields of science engineering, and societal issues that can be adequately described only in terms of complex systems and the idea of fractals has been used to describe them. In a sense, fractal theory has brought many seemingly unrelated subjects under one umbrella. In recent years, the study of fractals has faced major changes and challenges with the rapid advancement of technology and many new factors now have to be considered that have not yet been addressed.
The special issue on Frontiers of Fractals for Complex Systems: Recent Advances and Future Challenges aimed at gathering cutting-edge researches proposing the application of fractal features in the dynamics of highly nonlinear complex systems. This special issue welcomes papers covering any of the following potential topics but are not limited to:
- Fractal Functions, Curves and Fractal Dimension
- Fractal and Disordered Systems
- Application of Fractional Calculus in Fractals
- Applicable Fractal Chaotic Systems
- Application of Fractal in Complex Matter and Networks
- Application of Fractal in Computational Biology
- Fractal Image Processing and Modelling for Time Series
- Application of Fractal in Dynamical Systems, Including Complex Dynamics and Symbolic Dynamics
- Analysis and Fractional Differential Equations on Fractal Domains and Domains with Fractal Boundaries
- Iterated Function System
Authors should submit their original articles or short reviews to the Editorial Office of EPJ ST via the submission system clearly mentioning the title of the special issue. Manuscripts should be prepared following the instructions for authors using the latex template of EPJ ST, which can be downloaded here.
Open Access: EPJST is a hybrid journal offering Open Access publication via the Open Choice programme and a growing number of Springer Compact “Publish and Read” arrangements which enable authors to publish OA at no direct cost (all costs are paid centrally).