chain transitive sets
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scholarly journals Orbital shadowing property on chain transitive sets for generic diffeomorphisms

2020 ◽  
Vol 12 (1) ◽  
pp. 146-154
Author(s):  
Manseob Lee
Keyword(s):  
Maximal Chain ◽  
Dimensional Manifold ◽  
Dominated Splitting ◽  
Shadowing Property ◽  
Orbital Shadowing ◽  
Locally Maximal ◽  
Chain Transitive Sets

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.

Robustly shadowable chain transitive sets and hyperbolicity

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

scholarly journals HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING

2014 ◽  
Vol 51 (5) ◽  
pp. 1259-1267
Author(s):  
Abbas Fakhari ◽  
Seunghee Lee ◽  
Khosro Tajbakhsh
Keyword(s):  
Limit Shadowing ◽  
Chain Transitive Sets

scholarly journals ROBUSTLY CHAIN TRANSITIVE SETS WITH SHADOWING

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

On the number of maximal chain transitive sets in fiber bundles

2013 ◽  
Vol 25 (2) ◽  
Author(s):  
Carlos J. Braga Barros ◽  
Josiney A. Souza
Keyword(s):  
Maximal Chain ◽  
Fiber Bundles ◽  
Chain Transitive Sets
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