Emergent Structures and Asymptotic Analysis from Local Dynamics of Discrete Models
A special issue of Fractal and Fractional (ISSN 2504-3110).
Deadline for manuscript submissions: 30 September 2026 | Viewed by 372
Special Issue Editors
Interests: fractal and self-similar; nonlinear dynamics; complex systems; cellular automata; stochastic processes; theoretical geophysics; discrete integrable systems; solvable models; combinatorial methods
Special Issues, Collections and Topics in MDPI journals
Interests: fractal and self-similar; nonlinear dynamics, complex systems; nonlocal properties arising from discrete systems; nonlocal integrable systems; algebraic structure around nonlinear equations
Special Issue Information
Dear Colleagues,
Discrete dynamical systems provide a powerful framework for understanding how complex global behavior can emerge from simple local interactions. Models such as cellular automata, discrete nonlinear equations, and evolving networks exhibit rich asymptotic structures, including patterns, critical transitions, and fractal geometries. Analyzing these phenomena requires advanced mathematical analytical methods that exploit the inherently discrete nature of these models.
This Special Issue particularly focuses on the fractal structures, scaling behavior, and self-similarity commonly found in these discrete models. We welcome contributions that bridge rigorous mathematics with computational modelling and applications in physics, network science, and complex systems. Research presenting new analytical tools, asymptotic results, exact solutions, or any structures arising from local dynamics is particularly encouraged.
Topics include (but are not limited to) the following:
- Fractal and self-similar structures;
- Emergent structures and asymptotic analysis in discrete models;
- Cellular automata and complex pattern formation;
- Analytical methods for discrete nonlinear equations;
- Percolation theory and critical behavior in discrete systems;
- Network dynamics and complexity;
- Discrete integrable systems and exact mathematical frameworks;
- Nonlinear discrete systems and applications in physics;
- Computational modelling of complex discrete phenomena.
Prof. Dr. Mariusz Białecki
Prof. Dr. Yohei Tutiya
Guest Editors
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 250 words) can be sent to the Editorial Office for assessment.
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. Fractal and Fractional 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 2700 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.
Keywords
- fractals
- self-similar structures
- complex systems
- discrete models
- nonlinear dynamical systems
- cellular automata
- analytical methods
- combinatorial methods
- discrete nonlinear equations
- percolation theory
- network dynamics
- nonlinear system and applied in physics
- computational modelling
- discrete integrable systems
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