This book provides the dynamics of non-equilibrium dissipative systems with asymmetric interactions (Asymmetric Dissipative System; ADS are applied to the systems of self-driven interacting particles such as traffic and granular flows, pedestrians and evacuations, and collective movement of living systems.
Professor Yuki Sugiyama is a Professor of Graduate School of Informatics Department of Complex Systems Science at Nagoya University.
Innehållsförteckning
1. Introduction to Asymmetric Dissipative Systems (ADS).- 2. Optimal Velocity Model (OV Model).- 3. Cluster Flow Solutions. 4.- Phase Diagram of OV Model.- 5 Analysis of Hopf Bifurcation.- 6. Flow-Density Relations.- 7. Application to Traffic Flow.- 8. Two-Dimensional Self-Driven Particles and Flow Patterns.- 9. Relations to Soliton Systems.- 10. Similarity of Temporal and Spatial Patterns in ADS.- 11. Coarse Analysis of Collective Motions by Diffusion Maps.- 12. Adaptive Motions of ADS in Wasserstein Metric Space.- 13. Violation of Fluctuation-Response Relation.- 14. Multiple-Scale Analysis of OV Model.- 15. Summary and Future Perspectives.- References.- Index.