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Modeling Complex Systems
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This book explores the process of modeling complex systems in the widest sense of that term, drawing on examples from such diverse fields as ecology, epidemiology, sociology, seismology, as well as economics. It also provides the mathematical tools for studying the dynamics of these systems. Boccara takes a carefully inductive approach in defining what it means for a system to be “complex” (and at the same time addresses the equally elusive concept of emergent properties). This is the first text on the subject to draw comprehensive conclusions from such a wide range of analogous phenomena.
From the reviews of the first edition:
JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL
Review by M Schreckenberg, Fachbereich Physik, Duisburg-Essen University, Germany
“This book by Nino Boccara presents a compilation of model systems commonly termed as `complex’. It starts with a definition of the systems under consideration and how to build up a model to describe the complex dynamics. The subsequent chapters are devoted to various categories of mean-field type models (differential and recurrence equations, chaos) and of agent-based models (cellular automata, networks and power-law distributions).
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