4th IEEE International Workshop on Metrology for Living Environment, MetroLivEnv 2025, Venice, Italy, 11 - 13 June 2025, pp.230-235, (Full Text)
In this paper, we propose a continuous-time kinematic swarm model inspired by the framework presented in 'A Generalized Gazi-Passino Model with Coordinate-Coupling Matrices for Swarm Formation with Rotation Behavior.' Specifically, we introduce a static parameter, referred to as the Social Value Orientation Parameter (SVOP), which acts as a weight on two coordinate-coupling matrices governing both attractive and repulsive interactions among agents. Our focus is on simulation-based analysis of the swarm dynamics under this new parameterization. When a large group of agents is divided based on the SVOP, a grid-like steady-state spatial configuration emerges. The simulations reveal previously unobserved spatial patterns, highlighting the role of SVOP in shaping group behavior. Numerical simulations are provided to illustrate these results.