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Propagation of transient behaviour in linear flocking models

David Hammond*, Oregon Institute of Technology - Wilsonville
Talk Abstract: 
This talk will introduce a set of models for describing the behaviour of linear flocks. One application of these models is to describe groups of autonomous automobiles on a one-lane road, where each automobile controls its acceleration based on the differences of its own position and velocity from those of its neighbors. In my talk I will discuss recent theoretical results describing the propagation of perturbations across the flock, occuring when one vehicle is initially given a velocity different than all of the others. We study systems with asymmetric coupling, in which case the transients may travel with different velocities in two directions.
Talk Subject: 
Ordinary Differential Equations and Dynamical Systems
Time Slot: 
Saturday, April 2, 2016 - 11:35
Room Number: 
STAG 161