http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
HYPERBOLICITY OF CHAIN TRANSITIVE SETS WITH LIMIT SHADOWING
Fakhari, Abbas,Lee, Seunghee,Tajbakhsh, Khosro Korean Mathematical Society 2014 대한수학회보 Vol.51 No.5
In this paper we show that any chain transitive set of a diffeomorphism on a compact $C^{\infty}$-manifold which is $C^1$-stably limit shadowable is hyperbolic. Moreover, it is proved that a locally maximal chain transitive set of a $C^1$-generic diffeomorphism is hyperbolic if and only if it is limit shadowable.
Hyperbolicity of chain transitive sets with limit shadowing
Abbas Fakhari,이승희,Khosro Tajbakhsh 대한수학회 2014 대한수학회보 Vol.51 No.5
In this paper we show that any chain transitive set of a diffeomorphism on a compact C∞-manifold which is C1-stably limit shadowable is hyperbolic. Moreover, it is proved that a locally maximal chain transitive set of a C1-generic diffeomorphism is hyperbolic if and only if it is limit shadowable.
SOME PROPERTIES OF THE STRONG CHAIN RECURRENT SET
Fakhari, Abbas,Ghane, Fatomeh Helen,Sarizadeh, Aliasghar Korean Mathematical Society 2010 대한수학회논문집 Vol.25 No.1
The article is devoted to exhibit some general properties of strong chain recurrent set and strong chain transitive components for a continuous map f on a compact metric space X. We investigate the relation between the weak shadowing property and strong chain transitivity. It is shown that a continuous map f from a compact metric space X onto itself with the average shadowing property is strong chain transitive.
TOTALLY CHAIN-TRANSITIVE ATTRACTORS OF GENERIC HOMEOMORPHISMS ARE PERSISTENT
GHANE FATEMEH HELEN,FAKHARI ABBAS Korean Mathematical Society 2005 대한수학회보 Vol.42 No.3
we prove that, given any compact metric space X, there exists a residual subset R of H(X), the space of all homeomorphisms on X, such that if $\in$ R has a totally chain-transitive attractor A, then any g sufficiently close to f has a totally chain transitive attractor A$\_{g}$ which is convergent to A in the Hausdorff topology.