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
Official URL: http://www.springerlink.com/content/1040-7294/
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.
|Uncontrolled Keywords:||Linearization; Conjugacy; Contraction|
|Subjects:||Sciences > Mathematics > Differential equations|
|Deposited On:||28 Mar 2011 13:05|
|Last Modified:||22 Jun 2011 13:28|
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