CHAIN COMPONENTS WITH THE STABLE SHADOWING PROPERTY FOR C1 VECTOR FIELDS
Keyword(s):
Let M be a closed n-dimensional smooth Riemannian manifold, and let X be a $C^1$ -vector field of $M.$ Let $\gamma $ be a hyperbolic closed orbit of $X.$ In this paper, we show that X has the $C^1$ -stably shadowing property on the chain component $C_X(\gamma )$ if and only if $C_X(\gamma )$ is the hyperbolic homoclinic class.
2014 ◽
Vol 98
(3)
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pp. 375-389
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2021 ◽
Vol 62
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pp. 53-66
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2014 ◽
Vol 25
(11)
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pp. 1450104
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2019 ◽
Vol 13
(06)
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pp. 2050120
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2008 ◽
Vol 84
(2)
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pp. 155-162