Nonlinear Dynamical System and Its Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 29 December 2025 | Viewed by 54
Special Issue Editor
Interests: functional differential equations (bifurcation theory and numerical analysis); reaction diffusion equation (bifurcation theory of and its application); mathematical biology (predator-prey model)
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Using functional analysis, topological methods, and algebraic approaches to study dynamical systems has become increasingly central to the theory of dynamical systems, attracting significant interest from researchers in recent years. These advanced mathematical techniques provide an elementary framework for analyzing structures, behaviors, and evolutions; they help in establishing a deep understanding of their qualitative and quantitative properties. On the other hand, dynamical system modeling has been widely applied to describe complex behaviors in nearly all areas of science and engineering, from physics and biology to economics and control theory. This Special Issue invites papers on innovative theoretical developments and practical applications of dynamical systems, particularly emphasizing the integration of mathematical techniques such as operator theory, differential geometry, spectral theory, and algebraic topology. The goal is to showcase recent mathematical advancements in dynamical systems and their applications to interdisciplinary fields.
Potential topics include, but are not limited to, the following:
- Newly analyzed mathematical theories in dynamical systems, including functional analytic and topological approaches;
- Qualitative behaviors of dynamical systems, such as attractors, invariant manifolds, and ergodic properties;
- Dynamical properties, including stability, bifurcation, chaos, and Hamiltonian dynamics;
- Numerical methods and computational algorithms for dynamical systems;
- Simulation analytics and data-driven approaches in dynamical systems;
- Applications of dynamical systems in engineering, physics, medicine, and economics (mainly focuses on mathematical modeling and analysis).
This proposal aims to highlight the synergy effect between pure and applied mathematics in advancing the understanding of dynamical systems and their real-world applications.
Prof. Dr. Ruizhi Yang
Guest Editor
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. Axioms 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 2400 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
- differential equations/systems
- stability analysis
- dynamic system
- local and global dynamics
- chaos and bifurcations
- complex systems
- mathematical model
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