Introduction to the Modeling and Analysis of Complex Systems

by Hiroki Sayama

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Book 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 a large number of microscopic components interacting with each other in nontrivial ways. Many real-world systems can 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. Most of these topics are discussed in two chapters, one focusing on 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 choose relevant materials based on their objectives and needs. Python sample codes are provided for each modeling example.

This open book is licensed under a Creative Commons License (CC BY-NC-SA). You can download Introduction to the Modeling and Analysis of Complex Systems ebook for free in PDF format (20.2 MB).

Table of Contents

Chapter 1
Chapter 2
Fundamentals of Modeling
Chapter 3
Basics of Dynamical Systems
Chapter 4
Discrete-Time Models I: Modeling
Chapter 5
Discrete-Time Models II: Analysis
Chapter 6
Continuous-Time Models I: Modeling
Chapter 7
Continuous-Time Models II: Analysis
Chapter 8
Chapter 9
Chapter 10
Interactive Simulation of Complex Systems
Chapter 11
Cellular Automata I: Modeling
Chapter 12
Cellular Automata II: Analysis
Chapter 13
Continuous Field Models I: Modeling
Chapter 14
Continuous Field Models II: Analysis
Chapter 15
Basics of Networks
Chapter 16
Dynamical Networks I: Modeling
Chapter 17
Dynamical Networks II: Analysis of Network Topologies
Chapter 18
Dynamical Networks III: Analysis of Network Dynamics
Chapter 19
Agent-Based Models

Book Details

Open SUNY Textbooks
ISBN13 Digital
ISBN10 Digital
PDF Size
20.2 MB

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