General chemotactic model of oscillators

概要

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We propose a general chemotactic model describing a system of interacting elements. Each element inthis model exhibits internal dynamics, and there exists a nonlinear coupling between elements thatdepends on their internal states. From this model, we derive a simpler model describing the phases andpositions of the chemotactic elements by means of center-manifold and phase-reduction methods. We findthat, despite its simplicity, the model obtained through this reduction exhibits a rich variety of patterns.