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Special Issue "Chaos and Randomness of Discrete Dynamical Systems: Their Use in Applied Science"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 January 2018).
Chaotic behaviors of discrete dynamical systems have been extensively studied in the last five decades. From a theoretical perspective, dynamical systems strongly rely on mathematical topology and measure theory. Such notions as topological mixing, ergodicity, Lyapunov exponents, etc., are core tools in the field. Graph theory and the Markov chain formalism have also played a key role in understanding randomness, leading to a trustworthy analysis of the statistical properties of discrete dynamical systems. These theoretical breakthroughs have been historically applied to the study of complex phenomena coming from, e.g., physics and biology, where qualitative and quantitative analysis of chaotic dynamics have been completed to some extent. More recently, new unforeseen applications of discrete dynamical systems and their complexity have emerged, in particular for numerical simulations, new computational principles (chaos computing), and information security (chaotic pseudorandom number generators). Conversely, recent advances in big data, bioinformatics, and deep learning, have revealed new types of complex dynamics, which can be, at least partially, understood or simplified by means of discrete dynamical system modeling.
The aim of this Special Issue is to bring together both mathematical theorists and applied scientists working on chaotic dynamics or random dynamics in discrete systems. New theoretical results in the fields of mathematical chaos, Markov chains, or discrete dynamical systems are welcome, together with applications related to their randomness or unpredictable behaviors.
Prof. Dr. Christophe Guyeux
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. Mathematics 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 1200 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.
- discrete dynamical systems
- Markov chains
- applied science.