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Jump Dynamics


Abstract There are multiple mathematical models for alignment of individuals moving within a group. In a first class of models, individuals tend to relax their velocity toward the average velocity of other nearby neighbors. These types of models are motivated by the flocking behavior exhibited by birds. Another class of models have been introduced to describe rapid changes of individual velocity, referred to as jump, which better describes behavior of smaller agents (e.g. locusts, ants). In the second class of model, individuals will randomly choose to align with another nearby individual, matching velocities. There are several open questions concerning these two type of behavior: which behavior is the most efficient to create a flock (i.e. to conve... (more)
Created Date 2018-05
Contributor Trent, Austin L. (Author) / Motsch, Sebastien (Thesis Director) / Lanchier, Nicolas (Committee Member) / School of Mathematical and Statistical Sciences / Barrett, The Honors College
Subject Mathematics / Applied Mathematics / Statistics
Series Academic Year 2017-2018
Type Text
Extent 13 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS


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