Group coordination in a biologically-inspired vectorial network model
Journal Title: EAI Endorsed Transactions on Collaborative Computing - Year 2016, Vol 2, Issue 8
Abstract
Most of the mathematical models of collective behavior describe uncertainty in individual decision making through additive uniform noise. However, recent data driven studies on animal locomotion indicate that a number of animal species may be better represented by more complex forms of noise. For example, the popular zebrafish model organism has been found to exhibit a burst-and-coast swimming style with occasional fast and large changes of direction. Based on these observations, the turn rate of this small fish has been modeled as a mean reverting stochastic process with jumps. Here, we consider a new model for collective behavior inspired by the zebrafish animal model. In the vicinity of the synchronized state and for small noise intensity, we establish a closed-form expression for the group polarization and through extensive numerical simulations we validate our findings. These results are expected to aid in the analysis of zebrafish locomotion and contribute a new set of mathematical tools to study collective behavior of networked noisy dynamical systems.
Authors and Affiliations
Violet Mwaffo, Maurizio Porfiri
Keywords
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- EP ID EP45718
- DOI http://dx.doi.org/10.4108/eai.3-12-2015.2262389
- Views 319
- Downloads 0
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