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We formulate a mathematical model for daily activities of a cow (eating,lying down, and standing) in terms of a piecewise affine dynamical system. Weanalyze the properties of this bovine dynamical system representing the singleanimal and develop an exact integrative form as a discrete-time mapping. Wethen couple multiple cow "oscillators" together to study synchrony andcooperation in cattle herds. We comment on the relevant biology and discussextensions of our model. With this abstract approach, we not only investigateequations with interesting dynamics but also develop interesting biologicalpredictions. In particular, our model illustrates that it is possible for cowsto synchronize \emph{less} when the coupling is increased.

A Mathematical Model for the Dynamics and Synchronization of Cows