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Published in 2019 at "Open Mathematics"
DOI: 10.1515/math-2019-0068
Abstract: Abstract In this paper, we show that for generic C1, if a flow Xt has the shadowing property on a bi-Lyapunov stable homoclinic class, then it does not contain any singularity and it is hyperbolic.
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Keywords:
lyapunov stable;
stable homoclinic;
classes smooth;
homoclinic classes ... See more keywords