Lyapunov stable homoclinic classes for smooth vector fields
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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 singularity and it is hyperbolic.
2014 ◽
Vol 98
(3)
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pp. 375-389
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2018 ◽
Vol 148
(4)
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pp. 773-818
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2010 ◽
Vol 248
(6)
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pp. 1345-1375
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1997 ◽
Vol 40
(4)
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pp. 448-455
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2014 ◽
Vol 24
(07)
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pp. 1450090
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