Abstract
We prove unconditional and conditional flocking results for a Cucker-Smale flocking model enhanced with switching topologies. These topologies can be arbitrary; in particular, they are not necessarily symmetric. Our proofs hold for both discrete and continuous time. In both cases, the critical exponent discriminating between unconditional and conditional flocking is shown to be at most 1/2(k - 1) , where k is the number of agents in the population.
| Original language | English |
|---|---|
| Pages (from-to) | 95-110 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 79 |
| Issue number | 1 |
| Online published | 22 Jan 2019 |
| DOIs | |
| Publication status | Published - Jan 2019 |
Research Keywords
- Cucker-Smale model
- flocking
- switching topology
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: © 2019 Society for Industrial and Applied Mathematics.
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Dive into the research topics of 'ON FLOCKS UNDER SWITCHING DIRECTED INTERACTION TOPOLOGIES'. Together they form a unique fingerprint.Projects
- 1 Finished
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GRF: Computing the Topology of Basic Semi-algebraic Sets
CUCKER, F. (Principal Investigator / Project Coordinator)
1/10/17 → 10/10/19
Project: Research
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