Mu, Shumei; Chu, Tianguang; Wang, Long - In: Physica A: Statistical Mechanics and its Applications 351 (2005) 2, pp. 211-226
We study the collective dynamics of a group of motile particles with a leader. The leader is unaffected by the particle members whereas each member is influenced by the leader and the other members. By using coupled oscillators theory and Lyapunov function method, we show how the group dynamics...