Introduction to the Modeling and Analysis of Complex Systems (Sayama)
( \newcommand{\kernel}{\mathrm{null}\,}\)
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.
Front Matter
1: Introduction to Modeling and Analysis
2: Fundamentals of Modeling
3: Basics of Dynamical Systems
4: Discrete-Time Models I - Modeling
5: Discrete-Time Models II - Analysis
6: Continuous-Time Models I - Modeling
7: Continuous-Time Models II - Analysis
8: Bifurcations
9: Chaos
10: Interactive Simulations of Complex Systems
11: Cellular Automata I - Modeling
12: Cellular Automata II - Analysis
13: Continuous Field Models I - Modeling
14: Continuous Field Models II - Analysis
15: Basics of Networks
16: Dynamical Networks I - Modeling
17: Dynamical Networks II - Analysis of Network Topologies
18: Dynamical Networks III - Analysis of Network Dynamics
19: Agent-Based Models
Back Matter