Mathematical Topics on Modelling Complex Systems: In Memory of Professor Valentin Afraimovich

This book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, covering topics such as mathematical tools for design and analysis, critical events, climate change, fractional dynamic and control problems, and solvability and inverse problems. It is intended for mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, and urban planners.

Format: Paperback / softback
Length: 184 pages
Publication date: 10 June 2023
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the latest advancements in theoretical research and mathematical modeling of real-world complex systems, spanning four distinct parts. The first part focuses on the mathematical tools essential for designing and analyzing engineering and social science study cases. It explores topics such as periodic evolutions in nonlinear chemical processes, the behavior of vibro-compact systems, the formation of metal–semiconductor self-assembled samples composed of silver nanowires and zinc oxide nanorods, and more.

The second part of the book is dedicated to mathematical description and modeling of critical events, including climate change and robust emergency scales. In three chapters, the authors examine a climate-economy model with endogenous carbon intensity and analyze the behavior of the Tehran Stock Exchange market under international sanctions.

The third part of the book explores fractional dynamic and fractional control problems. It discusses the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection–diffusion equation with generalized polynomials, and other relevant topics.

The fourth part of the book focuses on solvability and inverse problems in differential and integro-differential equations. It addresses various methods and techniques for solving these complex equations, enabling a deeper understanding of nonlinear dynamics and their applications in practical engineering.

This book is designed to cater to a wide audience, including mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, and urban planners. It provides a valuable resource for those seeking to enhance their understanding of nonlinear dynamics and apply their knowledge to real-world problems. With its comprehensive coverage and rigorous mathematical approach, the book offers a valuable contribution to the field of complex systems research.

Weight: 308g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811641718
Edition number: 1st ed. 2022