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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… Click to show full 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.
Keywords:
lyapunov stable;
stable homoclinic;
classes smooth;
homoclinic classes;
vector fields;
smooth vector
Journal Title: Open Mathematics
Year Published: 2019
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Journal Title: Open Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!