Nagumo's Theorem for Dubovitskij-Miljutin Tangent Cones

2025/02/22 by Michael Livesay, Livesay, Michael
Mathematics · #34A12 #37A35 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2502.16066

openalex publication_date 2025/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper focuses on a class of additive perturbations in dynamical systems. An equivalence statement for this construction is discovered, and consequently, a method of checking a notion of positive invariance with perturbation. The resulting conclusion is an equivalence between a more strict definition of positive invariance, based on a perturbation extension of the system and the Dubovitskij-Miljutin tangent cone.

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