Special Issue "Mathematical Modelling of Complex Systems"
Deadline for manuscript submissions: 31 July 2024 | Viewed by 1721
Interests: meta-heuristic algorithms; neuron model; complex systems; renewable energy
Complex systems, defined as systems composed of a large number of interacting parts and characterized by non-linearity, adaptability, and dynamic changes, span various significant fields such as climatology, ecology, economics, social networks, cyber physical system, and biology. Understanding these complex systems is crucial for interpreting many key phenomena in our world. However, due to their inherent characteristics, it is often challenging to accurately describe and predict complex systems using traditional mathematical and computational methods.
Against this backdrop, artificial intelligence (AI) technologies such as neural networks and evolutionary algorithms have become critically important in the study of complex systems. These AI algorithms themselves are examples of complex systems, displaying numerous interactions, non-linearity, dynamic changes, and adaptability. This complexity poses a challenge but also offers a new approach to understanding and researching complex systems.
On the one hand, AI technologies like neural networks and evolutionary algorithms can be employed for the simulation and optimization of complex systems. They can handle high-dimensional, non-linear, and dynamic data, thereby providing deep insights into and effective predictions of the behaviour of complex systems. Mathematical modelling plays a pivotal role in this process, offering a rigorous theoretical framework for the modelling of complex systems and providing an accurate computational foundation for the application of AI technologies such as neural networks and evolutionary algorithms.
On the other hand, the mathematical tools and concepts in complex systems theory provide valuable insights for understanding and improving AI algorithms. The dynamic, adaptive, and non-linear properties of complex systems offer new perspectives and tools for understanding the training process of neural networks, improving the search strategies of evolutionary algorithms, and designing more efficient AI systems.
This Special Issue, "Mathematical Modelling of Complex Systems," aims to explore this two-way relationship, with a particular focus on research using mathematical modelling methods to aid AI technologies in the modelling and optimization of complex systems. At the same time, we look forward to works that use mathematical tools from complex systems theory to understand and improve AI algorithms. We encourage interdisciplinary research, intending to study complex systems from an AI perspective and to investigate AI through the lens of complex systems, thereby promoting the development of this interdisciplinary field.
Dr. Haichuan Yang
Dr. Chaofeng Zhang
Manuscript Submission Information
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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.
- complex systems
- mathematical modelling
- artificial intelligence
- neural networks
- evolutionary algorithms
- system optimization
- Internet of Things
- cyber physical system