@article{Ahn2023, 
author = {Hyunjin Ahn},
title = {Non-emergence of mono-cluster flocking and multi-cluster flocking of the thermodynamic Cucker–Smale model with a unit-speed constraint},
year = {2023},
journal = {Networks and Heterogeneous Media},
volume = {18},
number = {4},
pages = {1493-1527},
keywords = {Cucker–Smale, mono-cluster flocking, multi-agent system, multi-cluster flocking, thermodynamic, unit-speed},
url = {https://www.sciopen.com/article/10.3934/nhm.2023066},
doi = {10.3934/nhm.2023066},
abstract = {This paper demonstrates several sufficient frameworks for the mono-cluster flocking, the non-emergence of mono-cluster flocking and the multi-cluster flocking of the thermodynamic Cucker–Smale model with a unit-speed constraint (say TCSUS). First, in a different way than [2], we present the admissible data for the mono-cluster flocking of TCSUS to occur. Second, we prove that when the coupling strength is less than some positive value, mono-cluster flocking does not occur in the TCSUS system with an integrable communication weight. Third, motivated from the study on coupling strengths where the mono-cluster flocking does not occur, we investigate appropriate sufficient frameworks to derive the multi-cluster flocking of the TCSUS system.}
}