Holonomy and the Lotka-Volterra System
In this section we give another idea related to monodromy. This is the holonomy of the foliation P dy—Qdx = 0 associated to the system (1.2) in the neighborhood of an invariant curve. This object, roughly speaking, is the nonlinear analog to the monodromy of the solutions of a linear differential equation as they turn around a singular point. Alternatively, it can be thought of as a kind of Poincaré return map for foliations.
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