- Published on 13 May 2019
For many years, researchers have believed that the formation of strange attractors in a dynamical system is related to a saddle point in its structure. Many well-known systems with chaotic attractors such as Lorenz, Rossler, and Chen system have a saddle point equilibria. This category of chaotic attractors is familiar and finding their chaotic attractors are easy since they are formed near the saddle points. In other words, most chaotic systems have a strange attractor around their saddle point equilibria and can be easily designed. In 2011, Sprott presented some standards to propose new systems with strange attractors. He proposed that a new chaotic system should satisfy at least one of the following three conditions: First, the proposed systems should model some important unsolved problem in nature. Second, the systems should exhibit some behavior previously unobserved. Finally, the system should be simpler than all other known examples exhibiting the observed behavior. For example, the Lorenz system satisfy all of those conditions in its first publication in 1963.
In the last decade, some novel dynamical systems with chaotic attractor have been found that did not have any saddle point equilibria. Till now many new chaotic systems have been proposed in this category. We call those systems “special”. In other words, chaotic systems which satisfy the novelty conditions and are not common, are in this category. Chaotic systems without any equilibria, chaotic systems with a line of equilibria, chaotic systems with curve of equilibria, and with surfaces of equilibria are in this category.
The dynamic of chaotic systems depends on the initial conditions as well as parameters. So a system can show different coexisting attractors in the constant parameters just by varying initial conditions. Such a system is called “multi-stable”. A system which has countable infinity of coexisting attractors are called “mega-stable”, while systems with uncountable infinity of coexisting attractors are called “extreme multi-stable”. Chaotic systems with different multi-stabilities can satisfy the novelty conditions of the standard of proposing chaotic systems. Another interesting dynamic in the special chaotic systems is the coexistence of symmetric attractors.
Chaotic attractors can be categorize into self-excited or hidden attractors. Self-excited attractors are those attractors which their basin of attraction contains an unstable equilibrium while the basin of attraction in hidden attractors are not related to any equilibrium point. Hidden chaotic attractors are one of the hottest topics in the study of special chaotic systems. Many novel systems have been proposed with hidden attractors. Rare attractors are those attractors in which their basins of attraction are very small. Chaotic systems with rare attractors has attracted lots of attentions. Systems with multi-scroll chaotic attractors are other interesting dynamical systems. However, in the study of novel chaotic attractors with any special property, it is very important that the system be the simplest one with that feature.
Chaotic systems can be categorized based on their dissipation. A system is called conservative if its dissipation is zero. Some systems are “nonuniformly conservative”. It means that they are globally conservative, but they have some regions of state space in which the system is dissipative and some other regions which is anti-dissipative. Also, there are some other features which are worth in the study of new chaotic systems.
Call for papers: We would like to cordially invite further authors to submit their original research papers for this special issue along the lines described above. An extended description of the critical aspects/open problems of the methods presented will be a stringent criterion of pre-selection of papers to be sent to referees. Articles may be one of four types: (i) minireviews (10-15 pages), (ii) tutorial reviews (15+ pages), (iii) original paper v1 (5-10 pages), or (iv) original paper v2 (3-5 pages). More detailed descriptions of each paper type can be found here. Manuscripts should be prepared using the latex template of EPJ ST, which can be downloaded here. Articles should be submitted to the Editorial Office of EPJ ST by selecting "Special Chaotic Systems" as a special issue at:https://articlestatus.edpsciences.org/is/epjst/home.php
Guest Editors: Tomasz Kapitaniak (Division of Dynamics, Technical University of Lodz, Lodz, Poland) and Sajad Jafari (Biomedical Engineering Department, Amirkabir University of Technology, Tehran, Iran)
Submission Deadline: 31 August 2019
EPJ ST Special Issue: Modeling and simulation of heat/mass transport, nucleation and growth kinetics in phase transformations
- Published on 01 February 2019
The special issue is devoted to the problem of modeling of transport, nucleation, and growth processes in phase transformations occurring in condensed materials. The special attention is concerned with physical and mathematical models for computer simulation in the analysis of microstructure and properties of materials processed in novel techniques and technologies. First of all, the developing models will be devoted to the phase transformations in nano-structural materials, shape-memory materials, and materials obtained under external fields (e.g. magnetic field, hydrodynamics flows). Recent trends in the development of approaches to the study of these problems in material physics and materials sciences include multi-scale modeling, continual models for describing the properties of discrete systems, gradient-stable computational algorithms, high-performance software systems, and complex simulations using high-performance computing clusters.
This issue will be of interest to a wide range of specialists in material physics: theorists in the field of physical and mathematical models, developers of computational algorithms and software programs, scientists in the field of computational experiments, experimentalists from various fields of materials science. The issue can become a convenient forum for discussing trends and achievements, to find new solutions and to strengthen the research collaborations.
The topics include, but are not limited to the following:
- Phase and structural transformations
- Heat and mass transfer processes
- Hydrodynamic flows
- Nucleation and growth kinetics
- Propagation of phase interfaces
- Pattern formation
Proposed issue guest editors:
Call for papers:
The Guest Editors invite authors to submit their original research and short reviews on the theme of the Special Issue of the European Physical Journal Special Topics. Articles should be submitted to the Editorial Office of EPJ ST by selecting “Modeling and simulation of heat/mass transport, nucleation and growth kinetics in phase transformations” as a special issue at https://articlestatus.edpsciences.org/is/epjst/home.php. Manuscripts can be submitted in Word and LaTeX. The LaTeX template of EPJ ST can be downloaded here.
Proposed submission deadline: 17 June 2019.
- Published on 24 October 2018
The term Memristor refers to the special electronic component porposed by Leon Chua. After the implementation of memristor at HP Labs in 2008, there has been an increasing interest in memristor-based systems. Previous research has established that the existence of a pinched hysteresis effect plays a critical role in memristor-based system. Investigating the nonlinearity in memristor is useful not only for understanding its intrinsic features but also for developing new advanced designs. Recently, various complex dynamics have been obversed in memristive sytems such as chaos, extreme multistability, initial condition-dependent dynamics, coexistence of multiple attractors, autowave, and Turing patterns etc. However, discovering dynamics of such systems is still an interesting topic, which should be carried out further. It is noted that memristor-based systems have been the subject of many studies in different areas ranging from neural network, reconfigurable computing, memory technology to artificial intelligence. Potential applications of memrisive systems attract significant attention of the research community and industry.
This special issue is dedicated to present state-of-the-art results on memristor-based systems. The contribution to the Special Issue should be concentrate on the nonlinear aspects, dynamics, and applications of memristor-based sytems
The topics include, but are not limited to the following:
- Physical properties of memristors
- Nonlinearity and complexity
- New modeling directions
- Dynamics of memristor-based systems
- Advanced architectures and implementations
- Novel applications of memristor-based systems.
Call for Papers: The Guest Editors invite authors to submit their original research papers for this Special Issue. Articles may be one of four types: (i) minireviews (10-15 pages), (ii) tutorial reviews (15+ pages), (iii) original paper v1 (5-10 pages), or (iv) original paper v2 (3-5 pages). Articles should be submitted to the Editorial Office of EPJ: ST by selecting the “Memristor-based systems” as a special issue at https://articlestatus.edpsciences.org/is/epjst/home.php
Guest Editors: Viet-Thanh Pham (Thanh Tay Institute for Advanced Study, Thanh Tay University, Yen Nghia, Ha-Dong District, Hanoi 10000, Vietnam), Christos Volos (Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR–54124, Greece), Luigi Fortuna (Dipartimento di Ingegneria Elettrica Elettronica e Informatica, Universita degli Studi di Catania, Catania, Italy)
Submission Deadline: 15th April 2019.
EPJ ST Special Issue: Nonextensive Statistical Mechanics, Superstatistics and Beyond: Theory and Applications in Astrophysical and Other Complex Systems
- Published on 07 September 2018
After more than 140 years of impressive success there is no reasonable doubt that the Boltzmann-Gibbs (BG) entropy is the correct one to be used for a wide and important class of physical systems, basically those whose (nonlinear) dynamics is strongly chaotic i.e., for classical systems with positive maximal Lyapunov exponent, which are mixing and ergodic. However, a plethora of physical complex systems exists for which such simplifying dynamical hypotheses are violated; typical examples are those for which the maximal Lyapunov exponent vanishes, leading to sub-exponential sensitivity to the initial conditions, which can of course occur in a variety of mathematical ways.
Corresponding anomalies are found in a variety of quantum systems as well. In order to statistically describe the dynamics of such systems, various generalised forms of statistical mechanics have been proposed such as those using the nonadditive entropies Sq (where q is a real number which, for q=1, recovers the BG entropy), kappa distributions (also known as q-Gaussians, where kappa is simply related to q), superstatistical approaches, among various others. In the last decades, these new generalised statistical mechanical formalisms have found a large variety of very successful applications, even beyond the realm of physics. This special issue aims to cover the most recent analytical, experimental, observational and computational aspects and examples where these new extended formalisms have found fruitful applications.
Topics include, but are not limited to:
- Generalised Central Limit theorems
- Generalised Large deviation theory
- Low-dimensional nonlinear conservative and dissipative dynamical systems near the edge of chaos
- Long-range-interacting many-body classical Hamiltonian systems
- Complex networks
- Area-law-like quantum systems
- Applications in astrophysics, space and other plasma physics, geophysics, high energy physics, cosmology, granular matter, cold atoms, econophysics, theoretical and structural chemistry, biophysics, social systems, power grids, image and time series processing, among others.
Guest Editors: Andrea Rapisarda, Constantino Tsallis, Christian Beck, George Livadiotis, Ugur Tirnakli, and Giorgio Benedek.
Call for papers:
The Guest Editors invite authors to submit their original research and short reviews on the theme of the Special Issue of the European Physical Journal -Special Topics. Articles should be submitted to the Editorial Office of EPJ: ST by selecting the "Nonextensive Statistical Mechanics, Superstatistics and Beyond" as a special issue at: https://articlestatus.edpsciences.org/is/epjst/home.phpAuthors submitting to the issue should follow submission guidelines here. Manuscripts should be prepared using the latex template of EPJ ST, which can be downloaded here.
- Published on 29 August 2018
The real-world scenario of an emergent collective behavior, either in a biological, neuronal, ecological or a social network, raises the challenge of quantifying the impact of diffusion on the rich set of mutual interactions. As well, it is also vital to quantify the dynamics of information spreading that manifests either as an abrupt, explosive phenomenon or as a cascading phenomenon across different degrees of freedom. In this context, multiplex networks arise as the most apt theoretical paradigm, highlighting an additional dimension of complexity in essential relations and thus providing a more inherent description for such systems.
Layered neuronal spiking and bursting, different stages of a dynamical response to an infection, epidemic spreading, competitive dynamics across different layers of a social networks, to name just some examples, are all affected by interplay of multiple tiles of composition, which embodies structural and functional correlations between different spatiotemporal regimes on a multilayer network.
Recent research has shown that layer-driven dynamics is the key in a wide variety of different dynamical processes, in turn giving rise to a novel set of critical phenomena, ranging from super-diffusive patterns to a first order percolation transition and multipartite synchronization manifolds involving multi-chimera states. Along these lines, the coevolution of the dynamics across different layers, bridging the gap between epidemic and awareness spreading, has also been shown to give rise to novel types of reaction-diffusion processes.
Taken together, there is thus a clear need to advance on these fascinating subjects with a dedicated special issue, not least also in connection to applications in real-world networks and systems interactions.
This special thus issue intends to collect original research articles on theory and experiment, as well as reviews on the recent trends concerning the diffusion dynamics associated with multilayer networks.
Topics include, but are not limited to:
- *Diffusion patterns in multilayer networks
- *Synchronization in multilayer networks
- *Multistability in multilayer networks
- *Selfsimilarity in multilayer networks
- *Chimera states in multilayer networks
- *Spontaneous symmetry breaking in multilayer networks
- *Epidemics transmission dynamics in multilayer networks
- *Awareness spreading in multilayer networks
- *Cooperation in multilayer networks
- *Reaction-diffusion in multilayer networks
- *Quantum multilayer networks
Call for papers:
The Guest Editors invite authors to submit their original research on diffusion dynamics and information spreading in multilayer networks, including the detailed review articles on this Topical Issue. Articles should be submitted to the Editorial Office of EPJ ST by selecting the "Diffusion dynamics and information spreading in multilayer networks" as a special issue at: https://articlestatus.edpsciences.org/is/epjst/home.php
Submission deadline: 30 April 2019.
Vesna Berec (University of Belgrade) and Matjaz Perc (University of Maribor).