New Advances in Low Dimensional Dynamical Systems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".
Deadline for manuscript submissions: 31 August 2026
Special Issue Editor
Special Issue Information
Dear Colleagues,
Research in dynamical systems has long been deeply connected with topological methods in low dimensions. Concepts such as hyperbolicity and symbolic dynamics, partial hyperbolicity, forcing relations, plugs, knot theory, blenders, and many others have played a fundamental role in advancing our understanding of both discrete and continuous time systems.
With this in mind, we are pleased to announce a Special Issue of Mathematics dedicated to showcasing recent advances in this area as well as their practical applications, including numerical simulations and computer-assisted proofs.
We invite high-quality contributions, including both original research articles and surveys, broadly related to the following topics:
- Hyperbolic and partially hyperbolic systems in low dimensions;
- Blenders and robustly transitive systems;
- Templates and knot theory of periodic orbits of flows;
- Thurston–Nielsen classification and minimal representatives of diffeomorphisms;
- Minimal sets, indices, and robust dynamics;
- Bifurcations of low dimensional systems.
This Special Issue aims to foster collaboration and bring together experts in both topological methods and their applications. We are especially eager to encourage contributions from early-career researchers and are committed to providing a fair and timely review process.
Dr. Tali Pinsky
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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
- nonlinear dynamics
- forcing relations
- robust transitivity
- knot theory
- template theory
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
