On the global stable manifold

Alberto Abbondandolo, and Pietro Majer. "On the global stable manifold." Studia Mathematica 177.2 (2006): 113-131. <http://eudml.org/doc/285051>.

@article{AlbertoAbbondandolo2006,
abstract = {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.},
author = {Alberto Abbondandolo, Pietro Majer},
journal = {Studia Mathematica},
keywords = {stable manifold theorem; Banach manifold; hyperbolic fixed-point; attractor},
language = {eng},
number = {2},
pages = {113-131},
title = {On the global stable manifold},
url = {http://eudml.org/doc/285051},
volume = {177},
year = {2006},
}

TY - JOUR
AU - Alberto Abbondandolo
AU - Pietro Majer
TI - On the global stable manifold
JO - Studia Mathematica
PY - 2006
VL - 177
IS - 2
SP - 113
EP - 131
AB - 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.
LA - eng
KW - stable manifold theorem; Banach manifold; hyperbolic fixed-point; attractor
UR - http://eudml.org/doc/285051
ER -