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

Authors

Shanmugam,  Lakshmanan
External Organizations;

Lim,  Chee Peng
External Organizations;

Rihan,  Fathalla A.
External Organizations;

/persons/resource/Juergen.Kurths

Kurths,  Jürgen
Potsdam Institute for Climate Impact Research;

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Citation

Shanmugam, L., Lim, C. P., Rihan, F. A., Kurths, J. (2025): Dynamical analysis of nonlinear physical systems: mathematical modelling, artificial intelligence, and applications. - European Physical Journal - Special Topics, 234, 1331-1339.
https://doi.org/10.1140/epjs/s11734-025-01787-6


Cite as: https://publications.pik-potsdam.de/pubman/item/item_32729
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.