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Invertible Contractions and Asymptotically Stable ODE’S that are not C1-Linearizable

Solà-Morales, J. and Rodrigues, Hildebrando M. (2006) Invertible Contractions and Asymptotically Stable ODE’S that are not C1-Linearizable. Journal of Dynamics and Differential Equations, 18 (4). pp. 961-974. ISSN 1040-7294

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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.


Item Type:Article
Uncontrolled Keywords:Linearization; Conjugacy; Contraction
Subjects:Sciences > Mathematics > Differential equations
ID Code:12475
Deposited On:28 Mar 2011 11:05
Last Modified:06 Feb 2014 09:25

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