{ "id": "1903.05585", "version": "v1", "published": "2019-03-13T16:36:48.000Z", "updated": "2019-03-13T16:36:48.000Z", "title": "Normal Vectors on Modified Hopf Manifolds of Delay Differential Equations", "authors": [ "Jonas Otten", "Martin Mönnigmann" ], "categories": [ "math.DS" ], "abstract": "This document states the normal vector system for modified Hopf boundaries of delay differential systems with state and parameter dependent delays. Specifically, it states the proof for Proposition 1 in the paper entitled \"Robust optimization of delay differential equations with state and parameter dependent delays\" by the same authors [1].", "revisions": [ { "version": "v1", "updated": "2019-03-13T16:36:48.000Z" } ], "analyses": { "keywords": [ "delay differential equations", "modified hopf manifolds", "parameter dependent delays", "normal vector system", "delay differential systems" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }