**by Hiroki Sayama**

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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. ### Table of Contents

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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).

Chapter 1

Introduction

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

Bifurcations

Chapter 9

Chaos

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

Publisher

Open SUNY Textbooks

Published

2015

Pages

498

Edition

1

Language

English

ISBN13

9781942341062

ISBN10

1942341067

ISBN13 Digital

9781942341093

ISBN10 Digital

1942341091

PDF Size

20.2 MB

License

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