Abstract
Merging and separation of flocking groups are often observed in our natural complex systems. In this paper, we employ the Cucker-Smale particle model to model such merging and separation phenomena. For definiteness, we consider the interaction of two homogeneous Cucker-Smale ensembles and present several sufficient frameworks for mono-cluster flocking, bi-cluster flocking and partial flocking in terms of coupling strength, communication weight, and initial configurations.
| Original language | English |
|---|---|
| Pages (from-to) | 689-723 |
| Number of pages | 35 |
| Journal | Kinetic and Related Models |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Publisher Copyright:© American Institute of Mathematical Sciences.
Keywords
- Bi-cluster flocking
- Coupling strength
- Cucker-Smale model
- Interactions
- Local flocking
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