Monotone local flows with dense periodic orbits

2018/05/21 by Hirsch, Morris W.
#37 34 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.09668

Abstract

Let X be a connected open set in n-dimensional Euclidean space, partially ordered by a closed convex cone K with nonempty interior: y > x if and only if y-x is nonzero and in K. Theorem: If F is a monotone local flow in X whose periodic points are dense in X, then F is globally periodic.

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