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A new flocking model through body attitude coordination
- Source :
- Mathematical Models and Methods in Applied Sciences, Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2017, 27 (6), pp.1005-1049. ⟨10.1142/S0218202517400085⟩
- Publication Year :
- 2017
- Publisher :
- World Scientific Publishing, 2017.
-
Abstract
- We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given direction and their body can rotate around it adopting different configurations. In this manner, the body attitude is described by three orthonormal axes giving an element in SO(3) (rotation matrix). Agents try to coordinate their body attitudes with the ones of their neighbours. In the present paper, we give the Individual Based Model (particle model) for this dynamics and derive its corresponding kinetic and macroscopic equations. The work presented here is inspired by the Vicsek model and its study in [24]. This is a new model where collective motion is reached through body attitude coordination.
- Subjects :
- DYNAMICS
AMSC: 35Q92, 82C22, 82C70, 92D50
SELF-PROPELLED PARTICLES
math-ph
Mathematics, Applied
FOS: Physical sciences
LIMIT
HYDRODYNAMICS
SUPPLY CHAINS
math.MP
0102 Applied Mathematics
rotation group
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
QA
collective motion
Mathematical Physics
Body attitude coordination
CORPORA
Science & Technology
Applied Mathematics
Vicsek model
Mathematical Physics (math-ph)
Physical Sciences
PHASE-TRANSITION
ROTATIONS
generalized collision invariant
DRIVEN PARTICLES
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 02182025
- Database :
- OpenAIRE
- Journal :
- Mathematical Models and Methods in Applied Sciences, Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2017, 27 (6), pp.1005-1049. ⟨10.1142/S0218202517400085⟩
- Accession number :
- edsair.doi.dedup.....dfc5921f907856c93b219f9b00bc52fb