cc 16(8): e4

Research Article

Group coordination in a biologically-inspired vectorial network model

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  • @ARTICLE{10.4108/eai.3-12-2015.2262389,
        author={Violet Mwaffo and Maurizio Porfiri},
        title={Group coordination in a biologically-inspired vectorial network model},
        journal={EAI Endorsed Transactions on Collaborative Computing},
        volume={2},
        number={8},
        publisher={ACM},
        journal_a={CC},
        year={2016},
        month={5},
        keywords={biological groups, polarization, stochastic jump process, turn rate, vectorial network model},
        doi={10.4108/eai.3-12-2015.2262389}
    }
    
  • Violet Mwaffo
    Maurizio Porfiri
    Year: 2016
    Group coordination in a biologically-inspired vectorial network model
    CC
    EAI
    DOI: 10.4108/eai.3-12-2015.2262389
Violet Mwaffo1, Maurizio Porfiri1,*
  • 1: New York University Polytechnic School of Engineering
*Contact email: mporfiri@nyu.edu

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.