A note on local center manifolds for differential equations with state-dependent delay
Dynamical Systems
2015-03-31 v1 Classical Analysis and ODEs
Abstract
In this note we consider local invariant manifolds of functional differential equations representing differential equations with state-dependent delay. Starting with a local center-stable and a local center-unstable manifold of the functional differential equation at a stationary point, we construct, by a straightforward application of the Implicit Mapping Theorem, a local center manifold.
Cite
@article{arxiv.1503.08811,
title = {A note on local center manifolds for differential equations with state-dependent delay},
author = {Eugen Stumpf},
journal= {arXiv preprint arXiv:1503.08811},
year = {2015}
}
Comments
12 pages