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).
- Published on 26 February 2021
The 100th birthday of Professor Yoichiro Nambu, who was awarded the Nobel Prize for Physics in 2008, was on 18th January 2021. Professor Nambu was one of the most influential theoretical physicists of the twentieth century. His deep and unexpected insights often took years for others to understand and fully appreciate. They include spontaneous symmetry breaking, for which he was awarded half of the 2008 Nobel Prize in Physics; Nambu Mechanics; the theory of quarks and gluons, and string theory.
We would like to commemorate this landmark birthday with a special issue of EPJST entitled Symmetry, Dynamics and Strings: A Centennial Issue in Honor of Yoichiro Nambu. We invite contributions to this issue of articles that are inspired by his seminal and panoramic work. Besides particle physics, contributions from other disciplines in which he worked such as spontaneous symmetry breaking are encouraged. Short reviews may also be submitted.
EPJ ST Special Issue: Current Trends in Computational and Experimental Techniques in Nonlinear Dynamics
- Published on 26 February 2021
This EPJ ST Issue is concerned with state-of-the-art techniques and its applications in experimental and computational studies of Nonlinear Dynamics. The ubiquity of nonlinearity in nature allows for a broad, constructive and practical perspective on systems as diverse as coupled mechanical oscillators, n-body systems, optical devices, chemical reactions, to name just a few active traditional fields, as well as new exciting areas made at the interfaces between multiple traditional fields, such as biophysics.
The tools of Nonlinear Dynamics, where dynamical systems and its applications are at its core, can provide deep insight into essential phenomena in diverse models and experiments.
The special issue is therefore devoted to emphasize the relevance, scope and usefulness of these techniques in tackling with current problems of physical and practical significance.
- Published on 03 February 2021
This special issue is devoted to the experimental, theoretical as well as computational studies of fundamental features in transport phenomena, structural and phase transitions in various soft and disordered systems (polymers, colloids, glasses, amorphous, crystalline, and composite materials) involved in macroscopically non-equilibrium processes (hydrodynamic flows; non-stationary deformations, heat and mass transfer and generation). Special attention is focused on a detailed microscopical study of the effects of internal structural and phase transformations on macroscopic physical properties and phenomena in the systems under study.
- Published on 11 January 2021
Neural networks have an inevitable effect on world life. The role of neural networks can be observed in various subjects of sciences and engineering including associative memory, image processing, solving linear and nonlinear programming, computing technology and so forth. It has been demonstrated that if the parameters of networks are appropriately chosen, the neural networks can show chaotic behaviors and complicated dynamics. As it is obvious, due to the broadband application of chaotic neural networks as well as their random-like behavior, the development of novel methods, new models, and extending the existing techniques for analysis of these systems is of crucial importance, and more studies must be carried out in this field of study.
- Published on 07 October 2020
Nature is full of nonlinearities that are responsible for a great variety of responses and, in some sense, define biodiversity characteristics. In this regard, a nonlinear dynamics perspective is of special interest for a proper understanding of natural rhythms that can represent the most striking manifestations of natural and biological system behaviors. Natural rhythms can be either periodic or irregular over time and space and each kind of dynamical behavior may be related to both normal and pathological functioning.
Nonlinear dynamics of biological systems have been investigated considering different approaches and perspectives, focused on different purposes. Accordingly, investigations can be related to the general comprehension of physiological functioning, pathologies, control and biomedical engineering applications. In this regard, it is of special importance the investigation of biological rhythms employing a nonlinear dynamics perspective.
Modeling, numerical and experimental approaches are all employed in the analysis of complex biological rhythms. We invite researchers to contribute original articles to the Special Issue Complex Bio Rhythms to show continuing efforts to understand nonlinear systems such as biological and biomedical systems, biomechanics and general natural systems. Distinct aspects as modeling, bifurcations, synchronization, control, parameter estimation and engineering applications are of interest.
- Published on 03 September 2020
Many of the real world systems are composed of several interacting subsystems and have several degrees of freedom. The complexity in such systems arises from the nonlinearity in the dynamics of the interacting sub systems, heterogeneity in the pattern of interactions among them and presence of multiple dynamical time scales among them.
These systems can undergo sudden changes in their dynamical states or “tip” from one emergent dynamical state to another. The threshold of such sudden transitions, called “tipping point” represent the critical values of one or more of the system parameters or state variables at which a perturbation can lead to sudden qualitative change in the state of the system. As such it is important to study methods of detecting and characterising this phenomenon with proper measures.
- Published on 19 May 2020
The idea of a cosmological constant which produces an accelerated universe has seen many ups and downs ever since it was introduced and then disowned by Einstein. A firm evidence of that our universe is accelerating came from the Luminosity vs redshift measurement of Type-I supernova by Riess eta al and Perlmutter et al in 1999 a discovery which earned them a Nobel prize in 2011. The recent examinations of supernova data however shows that not all is well with the standard LambdaCDM model of cosmology. The supernova evidence indicates that the cosmic acceleration is not isotropic which raises questions on our standard cosmological models that the universe is described by the Friedmann-Lemaitre-Robertson-Walker metric with small perturbations which were generated in a earlier epoch of accelerated expansion called Inflation. Apart from the supernova data the examination of data from large scale galaxy distribution and cosmic microwave anisotropy observations show that there are problems with the six-parameter ΛCDM model. The amplitude of the matter mower spectrum determined by the parameter called σ8 and Hubble expansion rate H0 show discrepancies between the determination from LSS observations and their determination from CMB. The resolution of these discrepancies my lie in the evolution of dark energy in time which then requires a well motivated model.
- Published on 24 January 2020
Interaction of intense laser pulses with matter on various scales is a growing area of research using table-top femtosecond and sub-femtosecond laser pulses as well as large-scale free electron lasers spanning the photon energy range from the infrared to x-rays. The Nobel prize in Physics (2018) was awarded in part to the development of “light tools” or lasers delivering intense near-infrared laser pulses. This has burgeoned research in intense laser matter interaction to develop attosecond pulses in the soft x-ray region to super-intense pulses to generate relativistic plasmas. The large scale end of this research saw a concomitant development in accelerator based photon sources of intense short wavelength light pulses VUV, soft- and hard x-rays from free-electron laser pulses. This science has grown rapidly in the last few decades and calls for a review and a collection to gather its length and breadth.