scholarly journals Decentralized Self-Organizing Potential Field-Based Control for Individually Motivated Mobile Agents in a Cluttered Environment: A Vector-Harmonic Potential Field Approach

2007 ◽  
Vol 37 (3) ◽  
pp. 372-390 ◽  
Author(s):  
Ahmad A. Masoud
Keyword(s):  
Potential Field ◽  
Mobile Agents ◽  
Harmonic Potential ◽  
Field Approach ◽  
Cluttered Environment ◽  
Harmonic Potential Field ◽  
Self Organizing

scholarly journals Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble

2021 ◽  
Vol 80 (1) ◽  
pp. 1-22
Author(s):  
Hangjun Cho ◽  
Linglong Du ◽  
Seung-Yeal Ha
Keyword(s):  
Force Field ◽  
External Force ◽  
Potential Field ◽  
Harmonic Potential ◽  
Energy Estimates ◽  
External Force Field ◽  
Network Topologies ◽  
Configuration System ◽  
Emergent Behaviors ◽  
Harmonic Potential Field

We study emergent behaviors of thermomechanical Cucker-Smale (TCS) ensemble confined in a harmonic potential field. In the absence of external force field, emergent dynamics of TCS particles has been extensively studied recently under various frameworks formulated in terms of initial configuration, system parameters and network topologies. Moreover, the TCS model does not exhibit rotating motions in the absence of an external force field. In this paper, we show the emergence of periodically rotating one-point cluster for the TCS model in a harmonic potential field using elementary energy estimates and continuity argument. We also provide several numerical simulations and compare them with analytical results.

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