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A note on local center manifolds for differential equations with state-dependent delay (1503.08811v1)
Published 30 Mar 2015 in math.DS and math.CA
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.
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