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 Shadowable chain components and hyperbolicity Bull. Korean Math. Soc. 2015 Vol. 52, No. 1, 149-157 https://doi.org/10.4134/BKMS.2015.52.1.149Printed January 31, 2015 Manseob Lee, Seunghee Lee, and Junmi Park Mokwon University, Chungnam National University, Chungnam National University Abstract : We show that $C^1$-generically, the shadowable chain component of a $C^1$-vector field containing a hyperbolic periodic orbit is hyperbolic if it is locally maximal. Keywords : hyperbolic, shadowable, chain component MSC numbers : Primary 37C50; Secondary 34D10 Downloads: Full-text PDF