Analytical and Computational Modeling of Complex Systems: A Systematic Approach to Understanding Real-World Complexity
Apr 2027 · Morgan Kaufmann
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250
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About this ebook
Analytical and Computational Modeling of Complex Systems: A Systematic Approach to Understanding Real-World Complexity presents modern studies of complex systems by methods of statistical physics, numerical calculation, and computer modeling. Using general methods of investigating the branching (bifurcations) of solutions for nonlinear equations, the authors present an exhaustive analysis of the order parameter dependences on the control parameter in a small vicinity of the equilibrium values of parameters, including the stability analysis of the equilibrium states, and the asymptotic behavior of the order parameter dependences on the control parameter (bifurcation diagrams). The authors also present concepts and techniques used to model heterogeneous multi-agent interactions, complex neural networks, biochemical reaction networks in cells, and the dynamic behavior of economic systems over time. The book serves as both a learning resource and a practical reference for those engaged in the study of complex systems and their diverse real-world implementations. The book also offers a systematic learning path from theory to applications. It provides case studies that bridge the gap between mathematical formalism and complex systems modeling and simulation. Emphasizing hybrid and probabilistic modeling techniques, the book ensures greater flexibility for real-world applications. Covering a broad range of topics, it supports interdisciplinary use across departments such as physics, computer science, engineering, economics, and more. - Introduces a coherent methodology that integrates analytical techniques with probabilistic and computational approaches for modeling complex adaptive populations and dynamical systems. - Helps readers develop transferable skills in system analysis, regardless of domain, and provides a dual approach that accommodates a wider audience, from mathematically oriented researchers to practitioners seeking applicable computational tools. - Includes applied case studies and examples featuring MATLAB and Python code, together with computational outputs, tables, and figures.
Analytical and Computational Modeling of Complex Systems: A Systematic Approach to Understanding Real-World Complexity presents modern studies of complex systems by methods of statistical physics, numerical calculation, and computer modeling. Using general methods of investigating the branching (...
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About the author
Dr. Florentin Paladi, Moldova State University, Department of Theoretical Physics, Chisinau, Moldova. Florentin Paladi is D.Sc., professor and former dean of the Faculty of Physics and Engineering and vice-rector for research at the Moldova State University (2012-2021). He earned a BSc diploma with distinction in Physics from Moldova State University in 1993, Ph.D. in Theoretical and Mathematical Physics in 1996, Doctor of Philosophy diploma in 1997, and D.Sc. in Physics and Mathematics in 2010. Laureate of the State Prize for outstanding young scientists in 1998. During the period of 1998-2002 he held a postdoctoral research position at the Tokyo Institute of Technology in Japan. In 2020 he founded the research laboratory Environmental Physics and Modeling Complex Systems. A Fulbright research scholar at the Centre for the Study of Complex Systems of the University of Michigan in Ann Arbor and research projects at the Brunel University in London and the University of Missouri in Columbia. He is Laureate of the Academy of Sciences of Moldova Award for the valuable scientific achievements of scientists in the natural and exact sciences for the development of analytical and numerical methods in complex systems research.Dr. Alexandr A. Barsuk, Moldova State University, Institute of Applied Physics, Chisinau, Moldova. Alexandr A. Barsuk is D.Sc., professor and principal scientific researcher in the research laboratory Environmental Physics and Modeling Complex Systems of the Institute of Applied Physics at the Moldova State University. Former head of the Computing Centre of the Moldova State University. D.Sc. in Physics and Mathematics from Tula State University in 1998. Research projects on analytical methods in structural mechanics and theoretical physics, variational and numerical analysis of stability of deformable bodies, and asymptotic analysis of complex systems. He is co-author of Stability of Axially Moving Materials (2020), part of the Springer Nature book series in Solid Mechanics and Its Applications. Prof. A.A. Barsuk is Laureate of the Ministry of Education and Research Award for his prodigious activity in the field of research and innovation.Dr. Orhan Özgür Aybar, Piri Reis University, Institute of Graduate Education - Computational Science and Engineering, Istanbul, Türkiye. Orhan Özgür Aybar is Ph.D., associate professor in the Department of Mathematics and Management Information Systems at Piri Reis University, where he has served since 2014 and was promoted to associate professor position in February 2024. He earned his Ph.D. in Mathematics from Gebze Institute of Technology in March 2014, following degrees in Physics with Computational Physics specialization from Bogazici University in Istanbul. Dr. Aybar's research focuses on nonlinear dynamical systems, bifurcation theory, and stability analysis of differential equations and polynomial systems. His computational science contributions include developing algorithms for computer algebra systems to analyse biochemical reaction networks, implementing genetic algorithm approaches for chaotic system analysis, and creating symbolic computation methods for bifurcation detection in complex dynamical systems. Dr. Orhan Özgür Aybar serves as director of the Institute of Graduate Education and leads the Department of Computational Science and Engineering.
Dr. Florentin Paladi, Moldova State University, Department of Theoretical Physics, Chisinau, Moldova. Florentin Paladi is D.Sc., professor and former dean of the Faculty of Physics and Engineering and vice-rector for research at the Moldova State University (2012-2021). He earned a BSc diploma wi...
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