Special Session 28: 

Flocking motions in Cucker-Smale models

Yu-Hao Liang
National Chiao Tung University
Taiwan
Co-Author(s):    Jonq Juang
Abstract:
Phenomena of collective dynamics such as flocking of birds and schooling of fishes are ubiquitous in the world. Several models have been established to show us insight into how the dynamical behaviors occur. Among them, the one introduced by Cucker and Smale in 2007 has gained much attention. This is due to the fact that their models can be not only used to explain the emergence of flocking dynamics but also applied to design several mobile autonomous agent systems such as UAV and robot systems. In this talk, we will first give a brief survey on Cucker-Smale models. Then we will focus on one of the most important and non-negligible problem, collision avoidance, on the models under an asymmetric network topology. Finally, some open and important issues such as pattern formation and cluster flocking shall be addressed. The talk is based on a paper with Prof. Jonq Juang, recently accepted by SIAP.