Cyclic pursuit problems in the two dimensional sphere

作者:

Highlights:

• We consider generalized pursuit models to investigate the asymptotic behavior in the two dimensional sphere.

• All cyclic pursuing particles tend to a planar circumference whose radius depends on the followed curve.

• All classical pursuing particles tend to a fixed point which depends on the initial positions of the whole set.

摘要

•We consider generalized pursuit models to investigate the asymptotic behavior in the two dimensional sphere.•All cyclic pursuing particles tend to a planar circumference whose radius depends on the followed curve.•All classical pursuing particles tend to a fixed point which depends on the initial positions of the whole set.

论文关键词:Cyclic pursuit,Limit cyclic pursuit,Two dimensional sphere

论文评审过程:Available online 18 July 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.06.095