@article{Ahn2024, 
author = {Hyunjin Ahn and Se Eun Noh},
title = {Finite-in-time flocking of the thermodynamic Cucker–Smale model},
year = {2024},
journal = {Networks and Heterogeneous Media},
volume = {19},
number = {2},
pages = {526-546},
keywords = {Continuous dynamics, dissipative structure, finite-in-time flocking, multi-agent system, thermodynamic Cucker–Smale},
url = {https://www.sciopen.com/article/10.3934/nhm.2024023},
doi = {10.3934/nhm.2024023},
abstract = {We illustrate finite-in-time flocking in the thermodynamic Cucker–Smale (TCS) model. First, we extend the original TCS model to allow for a continuous vector field with a locally Lipschitz continuity. Then, within this system, we derive appropriate dissipative inequalities concerning the position-velocity-temperature using several preparatory estimates. Subsequently, based on initial data and system parameters, we formulate sufficient conditions to guarantee the desired finite-time flocking in each case where the communication weight conditions are divided into two scenarios: one with a positive lower bound and another with nonnegativity and monotonicity. Finally, we provide several numerical simulations and compare them with the analytical results.}
}