Exponential dichotomies, the shadowing lemma and homoclinic orbits in Banach spaces

Authors

  • Daniel B. Henry Universidade de São Paulo. Instituto de Matemática e Estatística

DOI:

https://doi.org/10.11606/resimeusp.v1i4.74667

Keywords:

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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Published

1994-05-01

Issue

Vol. 1 No. 4 (1994)

Section

Contents

License

Copyright (c) 1994 Daniel B. Henry

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Exponential dichotomies, the shadowing lemma and homoclinic orbits in Banach spaces. (1994). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 1(4), 381-401. https://doi.org/10.11606/resimeusp.v1i4.74667