Special Issue "Symmetry and Complexity"
Deadline for manuscript submissions: closed (30 June 2018) | Viewed by 18140
A printed edition of this Special Issue is available here.
Interests: numerical and computational methods; mathematical physics; nonlinear systems; Artificial Intelligence
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Symmetry and complexity are two fundamental features of almost all phenomena in nature and science. Any complex physical model is characterized by the existence of some symmetry groups at different scales. On the other hand, breaking the symmetry of a scientific model has been always considered as the most challenging direction for new discoveries. Modeling complexity has recently become an increasingly popular subject, with an impressive growth concerning applications. The main goal of modeling complexity is the search for hidden or broken symmetries.
Usually, complexity is modeled by dealing with big data or dynamical systems, depending on a large number of parameters. Nonlinear dynamical systems and chaotic dynamical systems are also used for modeling complexity. Complex models are often represented by un-smoth objects, non-differentiable objects, fractals, pseudo-random phenomena, and stochastic process.
The discovery of complexity and symmetry in mathematics, physics, engineering, economics, biology and medicine have opened new challenging fields of research. Therefore, new mathematical tools were developed in order to obtain quantitative information from models, newly reformulated in terms of nonlinear differential equations.
This Special Issue focuses on the most recent advances in calculus, applied to dynamical problems, linear and nonlinear (fractional, stochastic) ordinary and partial differential equations, integral differential equations and stochastic integral problems, arising in all fields of science, engineering applications, and other applied fields dealing with complexity.
We are soliciting contributions covering a broad range of topics on symmetry and complexity in:
- Fluid-dynamics and aero-dynamics
- Unified physical theory
- Nonlinear dynamical systems
- Nonlinear science
- Image and data analysis
- Computational systems
- Artificial intelligence, neural networks
- History of science, philosophy, semantic structures
Prof. Dr. Carlo Cattani
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2000 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- mathematical physics
- differential equations
- dynamical systems
- computational methods
- stochastic process
- stochastic differential equations
- pattern recognition
- data analysis