摘要： This paper studies the flocking behavior in a new discrete-time Cucker-Smale model under hierarchical leadership. The features of this model are that each individual has its own intrinsic nonlinear dynamics and the interaction between individuals follows a hierarchical leadership structure. Based on a specific matrix norm, we prove that the conditional flocking indeed occurs. Numerical experiments are given to confirm the theoretical results. 其他題名： DCDS-B 出版日期： 2016-10-01 出處： Discrete and continuous dynamical systems. Series B, 2016-10, Vol.21 (8), p.2587-2599 識別號： ISSN: 1553-524X 識別號： ISSN: 1531-3492 識別號： EISSN: 1553-524X 識別號： DOI: 10.3934/dcdsb.2016062
