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Resum
We consider a map F of class Cr with a fixed point of parabolic type whose differential is not diagonalizable, and we study the existence and regularity of the invariant manifolds associated with the fixed point using the parameterization method. Concretely, we show that under suitable conditions on the coefficients of F, there exist invariant curves of class Cr away from the fixed point, and that they are analytic when F is analytic. The differentiability result is obtained as an application of the fiber contraction theorem. We also provide an algorithm to compute an approximation of a parameterization of the invariant curves and a normal form of the restricted dynamics of F on them.
| Idioma original | Anglès |
|---|---|
| Pàgines (de-a) | 4667-4704 |
| Nombre de pàgines | 38 |
| Revista | Discrete and Continuous Dynamical Systems- Series A |
| Volum | 41 |
| Número | 10 |
| DOIs | |
| Estat de la publicació | En premsa - 2021 |
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Navegar pels temes de recerca de 'Differentiable invariant manifolds of nilpotent parabolic points'. Junts formen un fingerprint únic.Projectes
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Algunos aspectos de la dinámica local y global de los sistemas dinámicos contínuos y discretos: Integrabilidad, Periodicidad y Bifurcaciones
Llibre Salo, J. (PI), Torregrosa i Arús, J. (Co-Investigador/a Principal), Buzzi, C. A. (Col.laborador/a), Candido , M. R. (Col.laborador/a), Carvalho, Y. R. (Col.laborador/a), Caubergh , M. M. (Col.laborador/a), Cornelio, J. L. (Col.laborador/a), Cousillas, G. (Col.laborador/a), Cufi Cabre, C. (Col.laborador/a), Diz Pita, É. (Col.laborador/a), Ferragut Amengual, A. M. (Col.laborador/a), Ferragut Amengual, A. (Col.laborador/a), Geyer, A. (Col.laborador/a), Giacomini, H. J. (Col.laborador/a), Gouveia, L. F. (Col.laborador/a), Jiménez Ruíz, J. J. (Col.laborador/a), Lembarki, F. (Col.laborador/a), Martínez, Y. P. (Col.laborador/a), Pérez González, S. (Col.laborador/a), Ramírez, V. (Col.laborador/a), Saleta Reig, O. (Col.laborador/a), Sanchez Sanchez, I. (Col.laborador/a), Santos, R. A. T. (Col.laborador/a), Schlomiuk, D. (Col.laborador/a), Valls Angles, C. (Col.laborador/a), Vulpe, N. (Col.laborador/a), Zhang, X. (Col.laborador/a), da Cruz, L. P. C. (Col.laborador/a), de Almedia Silva Menezes, L. (Col.laborador/a), Artes Ferragud, J. C. (Investigador/a), Caubergh , M. M. (Investigador/a), Cima Mollet, A. M. (Investigador/a), Corbera Subirana, M. (Investigador/a), Cors Iglesias, J. M. (Investigador/a), Gasull Embid, A. (Investigador/a), Pantazi, C. (Investigador/a) & Soler Villanueva, J. (Investigador/a)
Ministerio de Economía y Competitividad (MINECO)
30/12/16 → 31/12/20
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