Special Issue "The Fractional View of Complexity"
Deadline for manuscript submissions: 31 August 2019.
Prof. Dr. J. A. Tenreiro Machado
Prof. Dr. António Mendes Lopes
Department of Mechanical Engineering, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200–465 Porto, Portugal
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Phone: +351 22 5081758
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Interests: complex systems; nonlinear dynamics; fractional calculus; automation, robotics, and systems modelling and simulation
Fractal analysis and fractional differential equations have been proven as useful tools for describing the dynamics of complex phenomena characterized by long memory and spatial heterogeneity. Although there is a general agreement about the relation between both theories, the formal mathematical arguments supporting their relation are still being developed.
The fractional derivative of real order appears as the degree of structural heterogeneity between homogeneous and inhomogeneous domains. A purely real derivative order would imply a system with no characteristic scale, where a given property would hold regardless of the scale of the observations. However, in real-world systems, physical cut-offs may prevent the invariance spreading over all scales and, therefore, complex-order derivatives could yield more realistic models.
Information theory addresses the quantification and communication of information. Entropy and complexity are concepts that often emerge in relation to systems composed of many elements that interact with each other, which appear intrinsically difficult to model.
This Special Issue focuses on the synergies of fractals or fractional calculus and information theory tools, such as entropy, when modeling complex phenomena in engineering, physics, life, and social sciences. Submissions addressing novel issues as well as those on more specific topics, illustrating the broad impact of entropy-based techniques in fractality, fractionality, and complexity are welcome.
Papers should fit the scope of the journal Entropy and, therefore, must include some content on Information Theory and/or Entropy, both in the text and references.
The main topics of interest include (but are not limited to):
- Complex dynamics
- Fractional calculus and its applications
- Fractals and chaos
- Nonlinear dynamical systems
- Entropy and Information Theory
- Evolutionary computing
- Advanced control systems
- Finance and economy dynamics
- Biological systems and bioinformatics
- Nonlinear waves and acoustics
- Image and signal processing
- Transportation systems
- Astronomy and cosmology
- Nuclear physics
Prof. Dr. J. A. Tenreiro Machado
Prof. Dr. António M. Lopes
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 papers will be 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. Entropy 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 1600 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.
- Fractional calculus
- Complex systems
- Information theory