http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
DYNAMICAL SYSTEMS WITH SPECIFICATION
Keonhee Lee,Khosro Tajbakhsh 충청수학회 2015 충청수학회지 Vol.28 No.1
In this paper we prove that C ¹-generically, if a diffeomorphism f on a closed C ∞ manifold M satisfies weak specification on a locally maximal set Λ ⊂ M then Λ is hyperbolic for f . As a corollary we obtain that C ¹ -generically, every diffeomorphism with weak specification is Anosov.
DYNAMICAL SYSTEMS WITH SPECIFICATION
Lee, Keonhee,Tajbakhsh, Khosro Chungcheong Mathematical Society 2015 충청수학회지 Vol.28 No.1
In this paper we prove that $C^1$-generically, if a diffeomorphism f on a closed $C^{\infty}$ manifold M satisfies weak specification on a locally maximal set ${\Lambda}{\subset}M$ then ${\Lambda}$ is hyperbolic for f. As a corollary we obtain that $C^1$-generically, every diffeomorphism with weak specification is Anosov.
MEASURE OF MAXIMAL ENTROPY FOR STAR MULTIMODAL MAPS
Fatemeh Attarzadeh,Khosro Tajbakhsh 충청수학회 2021 충청수학회지 Vol.34 No.1
Let f : [0; 1] → [0; 1] be a multimodal map with positive topological entropy. The dynamics of the renormalization operator for multimodal maps have been investigated by Daniel Smania. It is proved that the measure of maximal entropy for a specific category of Cr interval maps is unique.
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.
ROBUST SPECIAL ANOSOV ENDOMORPHISMS
Moosavi, Seyed Mohsen,Tajbakhsh, Khosro Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.3
In this paper we introduce the notion of "robust special Anosov endomorphisms", and show that Anosov endomorphisms of tori which are not neither an Anosov diffeomorphism nor an expanding map, are not robust special.
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.