Usual limit shadowable homoclinic classes of generic diffeomorphisms

被引：0
作者：
Manseob Lee
机构：
[1] Mokwon University,Department of Mathematics
来源：
Advances in Difference Equations | / 2012卷
关键词：
usual limit shadowing; hyperbolic; homoclinic class; -generic;
D O I：
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中图分类号：
学科分类号：
摘要：
We show that for C1-generic f, a locally maximal homoclinic class is usual limit shadowable if and only if the homoclinic class is hyperbolic.
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[1]  
Abdenur F(2007)Pseudo-orbit shadowing in the Discret Contin Dyn Syst 2007 223-245
[2]  
Dìaz LJ(1997)-topology Numer Funct Anal Optim 18 75-92
[3]  
Eirola T(2007)Limit shadowing property J Dyn Diff Equ 19 747-775
[4]  
Nevanlinna O(2012)Sets of dynamical systems with various limit shadowing proper-ties Bull Korean Math Soc 49 263-270
[5]  
Pilyugin V(1992)Shadowable chain transitive sets of Ergodic Theory Dyn Syst 12 233-253
[6]  
Pilyugin SY(2009)-generic Diffeomorphisms Nonlinearity 22 729-733
[7]  
Lee K(2009)Diffeomorphisms in satisfy Axiom A Proc Am Math Soc 138 315-321
[8]  
Wen X(1982)Expansive homoclinic classes Ann Math 116 503-540
[9]  
Hayashi S(2011)Diffeomorphisms satisfying the specification property Isr J Math 183 1-60
[10]  
Yang D(2006)An ergodic closing lemma Publ Math de L'iheś 104 87-141
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