Abstract
In this note we consider local invariant manifolds of functional differential equations $x^{\prime}(t)=f(x_{t})$ 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.
Citation
Eugen Stumpf. "A note on local center manifolds for differential equations with state-dependent delay." Differential Integral Equations 29 (11/12) 1093 - 1106, November/December 2016. https://doi.org/10.57262/die/1476369331
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