| Abstract: |
| The study of fish behavior and the phase-transition between milling (rotations) and schooling (velocity alignment) has given rise to the current study. Milling behavior in second order systems has been successfully modeled, but largely induced by the combination of self-propulsion and friction forces coupled with attraction and repulsion forces. We investigate the feasibility of producing phase-transitions between milling and schooling via heterogeneities in an alignment operator, as opposed to the attraction and repulsion forces used previously. In this talk we present results on first-order oscillatory models which under certain graph structures produce bi-stability of the rotational states indicative of milling, and fully synchronized states indicative of schooling. |
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