Eur. Phys. J. Spec. Top.
https://doi.org/10.1140/epjs/s11734-025-01787-6

Editorial

Dynamical analysis of nonlinear physical systems: mathematical modelling, artificial intelligence, and applications

¹ Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 600 127, Chennai, Tamil Nadu, India
² Department of Computing Technologies, Swinburne University of Technology, Hawthorn, Melbourne, Australia
³ Department of Mathematical Sciences, College of Science, United Arab Emirates University, P.O. Box 15551, Al Ain, Abu Dhabi, United Arab Emirates
⁴ Complexity Science, Postdam Institute for Climate Impact Research (PIK), Telegrafenberg A 31, 14473, Potsdam, Germany
⁵ Research Institute of Intelligent Complex Systems, Fudan University, 200433, Shanghai, China

^a lakshmanan.s@vit.ac.in

Abstract

This special issue contains 84 articles that explore challenges in understanding and controlling nonlinear physical systems. The contributions cover a wide range of modern topics, including stability and stabilization issues, fluid dynamics, complex dynamical systems, fractional and partial differential equations, numerical analysis, mathematical modelling, fuzzy set theory and its applications, as well as multidisciplinary applications in machine learning, complexity analysis, and graph theory. This collection highlights innovative mathematical approaches, computational strategies, and experimental results pertaining to dynamical behaviour of complex systems and their applicability to undertake real-world problems in science and engineering. Overall, this special issue presents a collection of papers related to nonlinear physical systems, aiming to inspire researchers and practitioners to further drive research into understanding, modelling, and controlling the intricate dynamics of nonlinear systems across diverse domains.