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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Official URL: http://www.springerlink.com/content/1040-7294/
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 13:05 |
| Last Modified: | 22 Jun 2011 13:28 |
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