Publication: Invertible Contractions and Asymptotically Stable ODE’S that are not C1-Linearizable
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Publication Date
2006-10
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Springer
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Abstract
We present an example of a contraction diffeomorphism in infinite dimensions that is not C1-linearizable, and we construct a regular ordinary differential equation in a Hilbert space whose time-one map is that diffeomorphism.
With this we have an example of an asymptotically stable ODE that is not C1-conjugate to its linear part.