Introduction to the Modeling and Analysis of Complex Systems

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Description

Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of numerous microscopic components interacting with every other in nontrivial ways. Many real-world systems can also be understood as complex systems, where critically important information resides in the relationships between the parts and not necessarily within the parts themselves. This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models. These kinds of topics are discussed in two chapters, one specializing in computational modeling and the other on mathematical analysis. This unique approach provides a comprehensive view of related concepts and techniques, and allows readers and instructors to flexibly make a selection relevant materials in response to their objectives and needs. Python sample codes are provided for every modeling example. This textbook could also be to be had free online from the Open SUNY Textbooks website online (http://textbooks.opensuny.org).

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