• 충청수학회지
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• 제5권1호
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• pp.35-47
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• 1992

In this paper we give a necessary condition for a homeomorphism restricted to its nonwandering set to have the shadowing property. Also, we consider a homeomorphism which cannot have the shadowing property.

• 한국통신학회논문지
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• 제19권9호
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• pp.1668-1679
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• 1994

나카가미 페이딩과 가우스 잡음이 함께 존재하는 환경과 가우스 잡음과 나카가미 페이딩 및 대수정규 shadowing이 함께 존재하는 환경의 두가지 환경하에서 동일채널 간섭확률을 구하였다. 잡음과 나카가미 페이딩이 함께 존재하는 환경하에서의 동일채널 간섭확률은 이런 해석에 의해 구하였으며 잡음과 나카가미 페이딩 및 shadowing이 존재하는 환경하에서의 동일채널 간섭확률은 컴퓨터 시뮬레이션에 의해 구하였다. 그리고 각 경우에 대한 스펙트럼 효율을 검토하였다. 결과로부터 동일채널간섭확률은 주파수재사용 거리가 작은 경우는 잡음, noise, shadowing의 영향이 복합적으로 나타나지만 주파수재사용 거리가 커질수록 path loss의 증가로 인하여 간섭과 전력이 감소되어 희망파의 페이딩 심도와 잡음에 의해 좌우된다는 것을 알 수 있었다.

• 충청수학회지
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• 제26권2호
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• pp.309-313
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• 2013

In this paper, we show that for a linear dynamical system $f(x)=Ax$ of $\mathbb{C}^n$, $f$ has the limit shadowing property if and only if the matrix A is hyperbolic.

• 대한수학회논문집
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• 제25권1호
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• pp.97-104
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• 2010

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.

• 대한수학회논문집
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• 제25권2호
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• pp.257-262
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• 2010

Let f be a $C^2$-diffeomorphism on a closed surface which satisfies the Axiom A. Then f is in the $C^2$-interior of the set of all diffeomorphisms having the inverse shadowing property with respect to the class of the continuous methods if and only if f satisfies the strong transversality condition.

• 대한수학회보
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• 제45권4호
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• pp.645-650
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• 2008

Let M be a generalized homogeneous compact space, and let Z(M) denotes the space of homeomorphisms of M with the $C^0$ topology. In this paper, we show that if the interior of the set of weak stable homeomorphisms on M is not empty then for any open subset W of Z(M) containing only weak stable homeomorphisms the orbital shadowing property is generic in W.

• 대한수학회지
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• 제51권4호
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• pp.837-851
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• 2014

We consider ${\omega}$-chaos as defined by S. H. Li in 1993. We show that c-dense ${\omega}$-scrambled sets are present in every transitive system with two-sided limit shadowing property (TSLmSP) and that every transitive map on topological graph has a dense Mycielski ${\omega}$-scrambled set. As a preliminary step, we provide a characterization of dynamical properties of maps with TSLmSP.

• 충청수학회지
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• 제21권4호
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• pp.519-525
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• 2008

Let f be a diffeomorphisms of a compact $C^{\infty}$ manifold, and let p be a hyperbolic periodic point of f. In this paper, we prove that if generically, f is tame diffeomorphims then the following conditions are equivalent: (i) f is ${\Omega}$-stable, (ii) f has the $C^1$-stable shadowing property (iii) f has the $C^1$-stable inverse shadowing property.

• 충청수학회지
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• 제31권1호
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• pp.167-175
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• 2018

In this paper we show that two notions of the average shadowing property and the hyperbolicity are equivalent in linear dynamical systems on the vector space ${\mathbb{C}}^n$.

• East Asian mathematical journal
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• 제27권5호
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• pp.521-525
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• 2011

We use a weaker version of the celebrated Newton-Kantorovich theorem [3] reported by us in [1] to find solutions of discrete dynamical systems involving operators with chaotic behavior. Our results are obtained by extending the application of the shadowing lemma [4], and are given under the same computational cost as before [4]-[6].