Lyapunov stable homoclinic classes for smooth vector fields
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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| Format: | Article |
| Language: | English |
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De Gruyter
2019-08-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2019-0068 |