A harmonic potential field approach for planning motion of a UAV in a cluttered environment with a drift field

2011 ◽  
Author(s):  
Ahmad A. Masoud
Keyword(s):  
Potential Field ◽  
Harmonic Potential ◽  
Field Approach ◽  
Cluttered Environment ◽  
Drift Field ◽  
Harmonic Potential Field

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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