Nonlinear Dynamics and Symmetry: Topics and Applications

Dear Colleagues,

This Special Issue focuses on the interplay between nonlinear dynamics and symmetry in mathematical models and real-world systems. Symmetries often underlie conservation laws, bifurcation structures, and the emergence of coherent patterns in nonlinear systems. Their presence (or breaking) can profoundly influence system behavior, stability, and long-term evolution. We aim to gather contributions that explore how symmetry principles can be used to classify, simplify, and better understand nonlinear dynamical phenomena across a variety of domains, including physics, biology, engineering, and social sciences. Topics of interest include group-theoretic methods in dynamical systems, equivariant bifurcation theory, symmetry-breaking instabilities, geometric mechanics, and invariant manifolds. Both theoretical developments and application-driven studies are welcome, especially those that reveal how symmetry considerations lead to novel insights, analytical simplifications, or enhanced numerical strategies. This Special Issue encourages interdisciplinary submissions that bridge rigorous mathematical theory with physical or computational modeling. By highlighting these connections, this Issue seeks to provide a platform for advancing the state of the art in nonlinear science through the lens of symmetry.

Dr. Simone Fiori
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 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. Symmetry 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.