Year: 2026
Type: book-chapter
Abstract: We study an extension of the classical Cucker-Smale model by introducing a visual field into the interaction mechanism through the characteristic function, which captures directional and asymmetric perception among agents. For both discrete and continuous time systems, we derive sufficient conditions for flocking, showing that convergence emerges under suitable assumptions on the initial configuration and system parameters only. We further show that these conditions reduce to the classical Cucker-Smale results in the limiting case which means that the visual field of each agent turns to $$2\pi $$ 2 π under some initial assumptions. Numerical simulations are finally provided to illustrate our theoretical results.
Source: Journal of Statistical Physics
Authors: Yu-Jie Gao, Jiu-Gang Dong
Institutions: The University of Tokyo, Dalian University of Technology
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Awards: G1779040330, G1957627928, G7226084075
OpenAlex ID: W7165758248