Mathematical and Computational Models in Nonlinear Dynamics

Dear Colleagues,

Nonlinear dynamics are fundamental to modern science, describing complex behaviors observed across nature, technology, and society. From climate phenomena and biological rhythms to financial markets and engineered structures, many real-world processes feature nonlinear interactions that lead to complex and sometimes unpredictable behavior. Unlike their linear counterparts, nonlinear systems show varied and sometimes counterintuitive phenomena such as bifurcations, chaos, and emerging patterns. This complexity requires combining rigorous mathematical methods with advanced computational models to analyze, predict, and control system behavior.

This Special Issue aims to deepen the understanding of nonlinear systems by bringing together cutting-edge research in mathematical modeling and computational techniques from scholars worldwide. We cordially invite submissions presenting theoretical innovations, new modeling methods, efficient numerical algorithms, experimental validations, uncertainty quantification, and interdisciplinary application. Topics include, but are not limited to, the following: chaos theory, bifurcation analysis, data-driven modeling, machine learning for dynamical systems, and control of nonlinear processes.

By highlighting recent developments and interdisciplinary work, this Special Issue seeks to promote collaboration among mathematicians, physicists, engineers, and computational scientists. Our goal is to demonstrate how combining mathematical theory with computational tools can reveal new insights into complex systems and help address important scientific and technological challenges.

We look forward to receiving your contributions.

Dr. Zhifang Liu
Prof. Dr. Shiqiang Li
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. 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.

• nonlinear dynamics
• mathematical model
• computational model
• chaos and bifurcation
• attractor
• nonlinear equations
• dynamical systems
• phase space
• stability analysis
• numerical simulation
• fractal structure
• time series analysis
• self-organized criticality
• nonlinear vibration
• complex systems
• homoclinic bifurcation
• Lyapunov exponent
• iterated maps
• computational dynamics
• dynamic behavior
• multiscale analysis