Exponential dichotomies, the shadowing lemma and homoclinic orbits in Banach spaces
DOI:
https://doi.org/10.11606/resimeusp.v1i4.74667Keywords:
Exponential dichotomy, Homoclinic orbit, Shadowing lenulla.Abstract
We prove infinite-dimensional versions of the
shadowing lenuna and Smale's theorem ( for a transverse homoclinic orbit) of a C1 map, not a diffeomorphism, using the
notion of an exponential dichotomy.
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Exponential dichotomies, the shadowing lemma and homoclinic orbits in Banach spaces. (2014). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 1(4), 381-401. https://doi.org/10.11606/resimeusp.v1i4.74667