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The primary objective of this section is to provide a channel of communication among mathematicians, applied scientists and practitioners interested in the theory, methods and applications of dynamical systems and their use to model the time evolution of real systems. Our goal is to bring together, in one Open Access section, high quality papers on every aspect of this multidisciplinary field of sciences, with particular emphasis on qualitative and global analysis of nonlinear dynamical systems and related phenomena, with applications in physics, biology, engineering, social sciences, etc.
The qualitative theory of dynamical systems, with the related concepts of stability, bifurcations, attractors, is nowadays more and more widely used for the description, prediction and control of real world processes. The scope of the present section consists in providing a focus and catalyst for the dissemination and cross-fertilization of new ideas, principles, methodologies and techniques in the framework of the theory of dynamical systems, across a broad interdisciplinary front, whose composition evolves continuously in order to respond to new areas and directions in modern approaches in science, technology and even humanities, in the emerging field of "complexity" in its broader meaning.
The section publishes original research papers (Original Research, Methods, Hypothesis & Theory), as well as short communications (General Commentaries, Opinions, Data Report, Code) or review papers (Review, Mini-Review), on dynamic modeling setup, theoretical analysis, numerical simulation, comparison of theoretical and experimental results, possible novel applications of dynamical systems, and the description of nonlinear phenomena, in order to foster a rapid exchange of ideas and techniques in the interdisciplinary fields of dynamical systems, nonlinearity and complexity.
Topics of interest include, but are not limited to:
• Continuous and discrete dynamical systems, represented by iterated functions, differential, difference or delay equations or considering random processes.
• Theoretical and qualitative analysis of dynamical systems including analytical, geometric and numerical studies of stability.
• Bifurcations, routes to chaos, pattern formation, coexistence of attractors.
• Discontinuous dynamical systems, border collisions, sliding phenomena, synchronization, intermittency.
• Analysis of dynamical data, such as univariate and multivariate time series and time-dependent images.
• Applications to physics, chemistry, neuroscience, biology, psychology, engineering, meteorology, social sciences, economics and finance, dynamic and evolutionary games and networks.
Indexed in: Google Scholar, DOAJ, CrossRef, Semantic Scholar, CLOCKSS
Dynamical Systems welcomes submissions of the following article types: Correction, Data Report, Editorial, General Commentary, Hypothesis and Theory, Methods, Mini Review, Opinion, Original Research, Perspective, Review, Specialty Grand Challenge and Technology and Code.
All manuscripts must be submitted directly to the section Dynamical Systems, where they are peer-reviewed by the Associate and Review Editors of the specialty section.
Articles published in the section Dynamical Systems will benefit from the Frontiers impact and tiering system after online publication. Authors of published original research with the highest impact, as judged democratically by the readers, will be invited by the Chief Editor to write a Frontiers Focused Review - a tier-climbing article. This is referred to as "democratic tiering". The author selection is based on article impact analytics of original research published in all Frontiers specialty journals and sections. Focused Reviews are centered on the original discovery, place it into a broader context, and aim to address the wider community across all of Applied Mathematics and Statistics.
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