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Detecting phase transitions in collective behavior using manifold's curvature
2016
Mathematical Biosciences and Engineering
If a given behavior of a multi-agent system restricts the phase variable to a invariant manifold, then we define a phase transition as change of physical characteristics such as speed, coordination, and structure. We define such a phase transition as splitting an underlying manifold into two sub-manifolds with distinct dimensionalities around the singularity where the phase transition physically exists. Here, we propose a method of detecting phase transitions and splitting the manifold into
doi:10.3934/mbe.2017027
pmid:27879108
fatcat:53lu67pixrazbe7zcbrnrxwmuy