Technical Report CIS9105

TR#:CIS9105
Class:CIS
Title: ANTS, CRICKETS, AND FROGS IN CYCLIC PURSUIT
Authors: A.M. Bruckstein, N. Cohen, A. Efrat
PDFCIS9105.pdf
Abstract: We consider a deterministic continuous pursuit in which $n$ ants chase each other in cyclic order and with preassigned, varying speeds. We also consider two discrete analogs, in which crickets or frogs are engaged in cyclic pursuit with constant and equal speeds. We examine the possible evolutions of these pursuits as time goes to infinity: collision, limit points, equilibrium states and periodic motion.
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