Invariant manifolds and the concept of asymptotic phase
Bernd Aulbach, Dietrich Flockerzi, Hans-Wilhelm Knobloch (1986)
Časopis pro pěstování matematiky
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Bernd Aulbach, Dietrich Flockerzi, Hans-Wilhelm Knobloch (1986)
Časopis pro pěstování matematiky
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Belykh, Vladimir, Belykh, Igor, Komrakov, Nikolai, Mosekilde, Erik (2000)
Discrete Dynamics in Nature and Society
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Alberto Abbondandolo, Pietro Majer (2006)
Studia Mathematica
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We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Banach setting gives rise to subtle questions about the possibility of extending germs of diffeomorphisms.
Taras Banakh, Robert Cauty (2007)
Banach Center Publications
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We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and...
Di Terlizzi, Luigia, Pastore, Anna Maria (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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S. Smale (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Rezaii, M.M., Barzegari, M. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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