Smoothness of topological equivalence on the half line for nonautonomous systems.
Resumen:
We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable nonlinearities. For this purpose, we construct a homeomorphism inspired in the Palmer's one restricted to the positive half line, studying additional continuity properties and providing sufficient conditions ensuring its Cr–smoothness.
| 2019 | |
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Topological equivalence Nonautonomous differential equations Nonautonomous hyperbolicity Uniform asymptotic stability Diffeomorphism |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/25157 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | Publicado en línea por Cambridge University Press: 07 de mayo de 2019 |
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