chain transitive sets
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2020 ◽  
Vol 12 (1) ◽  
pp. 146-154
Author(s):  
Manseob Lee

AbstractLet f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 generically, if a diffeomorphism f has the orbital shadowing property on locally maximal chain transitive sets which admits a dominated splitting then it is hyperbolic.



2019 ◽  
Vol 294 (1-2) ◽  
pp. 687-712
Author(s):  
Adriana da Luz


2018 ◽  
Vol 33 (4) ◽  
pp. 602-621
Author(s):  
Mohammad Reza Bagherzad ◽  
Keonhee Lee


Author(s):  
Sergei Yu. Pilyugin ◽  
Kazuhiro Sakai


2014 ◽  
Vol 51 (5) ◽  
pp. 1259-1267
Author(s):  
Abbas Fakhari ◽  
Seunghee Lee ◽  
Khosro Tajbakhsh


2013 ◽  
Vol 26 (4) ◽  
pp. 821-829
Author(s):  
Manseob Lee ◽  
Junmi Park


2013 ◽  
Vol 19 (10) ◽  
pp. 1601-1618 ◽  
Author(s):  
Kazuhiro Sakai


2013 ◽  
Vol 25 (2) ◽  
Author(s):  
Carlos J. Braga Barros ◽  
Josiney A. Souza




2012 ◽  
Vol 49 (2) ◽  
pp. 263-270 ◽  
Author(s):  
Keon-Hee Lee ◽  
Xiao Wen


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