On the global stable manifold
Studia Mathematica, Tome 177 (2006) no. 2, pp. 113-131
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
alternative proof stable manifold theorem application right inverse mapping theorem space sequences investigate diffeomorphism class global stable manifold problem which general banach setting gives rise subtle questions about possibility extending germs diffeomorphisms
Affiliations des auteurs :
Alberto Abbondandolo 1 ; Pietro Majer 1
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author = {Alberto Abbondandolo and Pietro Majer},
title = {On the global stable manifold},
journal = {Studia Mathematica},
pages = {113--131},
publisher = {mathdoc},
volume = {177},
number = {2},
year = {2006},
doi = {10.4064/sm177-2-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm177-2-2/}
}
Alberto Abbondandolo; Pietro Majer. On the global stable manifold. Studia Mathematica, Tome 177 (2006) no. 2, pp. 113-131. doi: 10.4064/sm177-2-2
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