Trends in Phase Transitions, Synchronization, Irreversibility, and Critical Phenomena in Chaotic Dynamics
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 31 March 2026 | Viewed by 12
Special Issue Editors
Interests: dynamical systems; ergodic theory; irreversibility; out-of-equilibrium systems and applications of dynamical systems to physiological time series
Interests: chaotic dynamics; mutistability; multiscroll attractors
Special Issues, Collections and Topics in MDPI journals
Interests: complex networks: in particular dynamical aspects of complexity and high order interconnections in phenomena like synchronization and pinning control; complex systems: features of continuous and discrete systems with multiscroll attractors of continuous and discrete natures
Special Issue Information
Dear Colleagues,
Chaos is a feature of some dynamical systems that has been extensively studied for several years due to its ubiquity in many natural phenomena and because of its multiple applications in mathematics, physics, biology, engineering, and many other disciplines. In recent years, there has been a great success in the development of a rigorous and solid mathematical framework for chaotic dynamics; nonetheless, most of this framework deals with systems that can be considered systems in equilibrium. On the other hand, most real-life phenomena is nonlinear, non-reversible, and out-of-equilibrium. In such states, systems have critical behaviors that are interesting to study, but whose mathematical comprehension is far from being achieved. The aim of the present Special Issue is to bring together knowledge about these critical phenomena in simple and not-so-simple models of dynamical systems, complex networks, and stochastic processes. Our purpose is to bridge the knowledge gaps around out-of-equilibrium systems, as well as to contribute towards research areas such as phase transitions, synchronization, time-irreversibility, and many other critical phenomena in dynamics.
This Special Issue will include, but is not limited to, the following topics:
- Phase transitions in dynamical systems;
- Modeling of critical phenomena;
- Synchronization;
- Irreversibility and time-reversal asymmetry in dynamics;
- Irreversibility in stochastic models;
- Chaotic dynamics;
- Critical phenomena in complex networks;
- Applications of dynamic systems in biomathematics;
- AI and machine learning application to dynamical systems.
We invite researchers to submit original research papers, comprehensive review papers, and insightful perspectives that contribute to the advancement of knowledge around phase transitions, synchronization, irreversibility, and critical phenomena in chaotic dynamics, complex networks, and complex systems.
Dr. Cesar Maldonado
Dr. Eric Campos-Cantón
Dr. Juan Gonzalo Barajas-Ramírez
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 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
- phase transitions
- irreversibility
- critical phenomena
- chaotic dynamics
- synchronization
- complex networks
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