Book: Introduction to the Modeling and Analysis of Complex Systems (Sayama)
- Page ID
- 7767
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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.
- 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