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On the Omega Limit Sets for Analytic Flows
Choy, Jaeyoo,Chu, Hahng-Yun Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.2
In this paper, we describe the characterizations of omega limit sets (= ${\omega}$-limit set) on $\mathbb{R}^2$ in detail. For a local real analytic flow ${\Phi}$ by z' = f(z) on $\mathbb{R}^2$, we prove the ${\omega}$-limit set from the basin of a given attractor is in the boundary of the attractor. Using the result of Jim$\acute{e}$nez-L$\acute{o}$pez and Llibre [9], we can completely understand how both the attractors and the ${\omega}$-limit sets from the basin.
Choi, Jaeyoo,Jung, Yeonsu,Yang, Seung Jae,Oh, Jun Young,Oh, Jinwoo,Jo, Kiyoung,Son, Jeong Gon,Moon, Seung Eon,Park, Chong Rae,Kim, Heesuk American Chemical Society 2017 ACS NANO Vol.11 No.8
<P>As practical interest in flexible/or wearable power-conversion devices increases, the demand for high-performance alternatives to thermo-electric (TE) generators based on brittle inorganic materials is growing. Herein, we propose a flexible and ultralight TE generator (TEG) based on carbon nanotube yarn (CNTY) with excellent TE performance. The as prepared CNTY shows a superior electrical conductivity of 3147 S/cm due to increased longitudinal carrier mobility derived from a highly aligned structure. Our TEG is innovative in that the CNTY acts as multifunctions in the same device. The CNTY is alternatively doped into n- and p-types using polyethylenimine and FeCl3, respectively. The highly conductive CNTY between the doped regions is used as electrodes to minimize the circuit resistance, thereby forming an all-carbon TEG without additional metal deposition. A flexible TEG based on 60 pairs of n- and p-doped CNTY shows the maximum power density of 10.85 and 697 mu W/g at temperature differences of 5 and 40 K, respectively, which are the highest values among reported TEGs based on flexible materials. We believe that the strategy proposed here to improve the power density of flexible TEG by introducing highly aligned CNTY and designing a device without metal electrodes shows great potential for the flexible/or wearable power-conversion devices.</P>
On Semisimple Representations of the Framed g-loop Quiver
Choy, Jaeyoo Department of Mathematics 2017 Kyungpook mathematical journal Vol.57 No.4
Let Q be the frame g-loop quiver, i.e. a generalized ADHM quiver obtained by replacing the two loops into g loops. The vector space M of representations of Q admits an involution ${\ast}$ if orthogonal and symplectic structures on the representation spaces are endowed. We prove equivalence between semisimplicity of representations of the ${\ast}-invariant$ subspace N of M and the orbit-closedness with respect to the natural adjoint action on N. We also explain this equivalence in terms of King's stability [8] and orthogonal decomposition of representations.
Chain Recurrences on Conservative Dynamics
Choy, Jaeyoo,Chu, Hahng-Yun Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.2
Let M be a manifold with a volume form ${\omega}$ and $f:M{\rightarrow}M$ be a diffeomorphism of class $^1$ that preserves ${\omega}$. We prove that if M is almost bounded for the diffeomorphism f, then M is chain recurrent. Moreover, we get that Lagrange stable volume-preserving manifolds are also chain recurrent.
최재유(Choi, Jaeyoo) 담화·인지언어학회 2021 담화와 인지 Vol.28 No.2
This paper describes cognitive neural network and conceptual blending theory, showing that literary research has a place in cognitive linguistic studies. These cognitive mechanisms say that the mind is inherently embodied, that thought is mostly unconscious and that abstract concepts are largely metaphorical. I raise some questions of cognitive unconsciousness and metaphors, conceptual blending and more spaciously within cognitive operations, I try to review the cognitive linguistic metaphoric system in Fitzgerald’s novel, The Great Gatsby. The society in-Fitzgerald’s novels is not always beautiful and friendly to man, but more often indifferent and hostile to him. In a highly industrialized modern world, man cannot but feel an extreme sense of confrontation, conflicts, and alienation between man and society as well as man and man. There exist various aspects between idealism and materialism by giving many characters in The Great Gatsby. Moral was destroyed by the pursuit of physical pleasure, and only the sense of emptiness and boredom was prevalent. As a consequence of analyzing the novel, this study asserts that critical thoughts in consilience raise questions as to our fundamental principles and give them fresh creative theories.