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Chain Components With The Stable Shadowing Property For C1 Vector Fields
Let M be a closed n-dimensional smooth Riemannian manifold, and let X be a C1 -vector field of M. Let γ be a hyperbolic closed orbit of X. In this paper, we show that X has the C1 -stably shadowing property on the chain component CX(γ) if and only if CX(γ) is the hyperbolic homoclinic class.
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