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Physics - Complexity | Modeling Complex Systems

Modeling Complex Systems

Boccara, Nino

2004, XII, 399 p.

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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.

Content Level » Research

Keywords » Cellular automata - Chaotic discrete-time models - Drossel-Schwabl forest fire model - Hutchinson’s time-delay model - Kinetic growth phenomena - Lotka-Volterra model - Power-law distributio - agent-based model - complex system - complex systems - ecology - modeling

Related subjects » Applications - Complexity - Ecology

Table of contents 

How to Build Up a Model.- Mean-Field Type Models.- Differential Equations.- Recurrence Equations.- Chaos.- Agent-Based Models.- Cellular Automata.- Networks.- Power-Law Distributions.

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