• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.22 no.3
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• pp.179-199
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• 2018

The paper explores a tri-trophic food chain model with density dependent mortality of intermediate predator. To analyze this aspect, we have worked out the local stability of different equilibrium points. We have also derived the conditions for global stability of interior equilibrium point and conditions for persistence of model system. To observe the global behaviour of the system, we performed extensive numerical simulations. Our simulation results reveal that chaotic dynamics is produced for increasing value of half-saturation constant. We have also observed trajectory motions around different equilibrium points. It is noticed that chaotic dynamics has been controlled by increasing value of density dependent mortality parameter. So, we conclude that the density dependent mortality parameter can be used to control chaotic dynamics. We also applied basic tools of nonlinear dynamics such as Poincare section and Lyapunov exponent to investigate chaotic behaviour of the system.

• Korean Journal of Optics and Photonics
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• v.11 no.1
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• pp.19-24
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• 2000

Optical transmission characteristics of retardation film for obliquely incident light is calculated by using extended Jones calculus and it is geometrically interpreted on Poincare sphere representation as rotational transformation. The characteristics of a retardation film is that while the rotation axis is fixed at a point on the Equator of the Poincar sphere, the rotation angle varies with the direction of incidence. This property can be compensated by using a tandem arrangement of the two optical films whose optic axes do not coincident, and this method can be used for the improvement of the viewing angle characteristics of BTN cells. cells.

• Proceedings of the Korea Information Processing Society Conference
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• 2004.11a
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• pp.821-824
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• 2004

본 논문은 지문인식률에 있어서 중요한 요소인 중심점(core point) 검출에 대하여 기존의 Poincare 지수를 이용하는 방법과 Sine을 취하는 방법의 결점을 해결하기 위해 마스크 블록을 이용하여 중심점을 검출 하는 방법을 제안하였다. 이에 대한 실험결과는 기존의 방법보다 빠르면서 검출 일관성에서도 좀더 나은 결과를 나타내었고 Arch형 지문의 중심점 검출에 있어서도 기존 방법들의 오류를 줄일 수 있었다.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.26 no.4B
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• pp.505-513
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• 2001

지문영상의 분류는 데이터베이스의 용량이 클 경우 검색시간을 효율적으로 단축시킬 수 있는 핵심적인 기술이다. 따라서 본 논문에서 core point 와 flow-line 추적을 이용한 효율적인 지문 영상 분류 기법을 제안한다. 제안한 방법은 특히 압착 날인된 지문 영상의 분류에 적합한 방법으로 크게 2단계로 이루어져 있다. 첫 번째 단계에서는 먼저 Poincare index를 이용하여 core point를 찾아내고 이를 바탕으로 개략적인 분류를 수행한다. 그 다음 두 번째 단계에서는 core point를 중심으로 flow-line을 추적하여 그 결과를 가지고 세부적인 분류를 수행한다. 세부분류 단계에서는 평활화된 블록의 방향정보를 이용한 효과적인 flow-line 추적 알고리즘과 이를 이용한 새로운 분류 방법이 제안된다. 제안한 방법은 회전이나 이동 그리고 약간의 잡음에 강인한 지문 분류 방법으로 지문입력기를 통하여 획득된 700장의 지문 영상에 적용해 본 결과 93.6%의 분류율을 나타내었다.

• Journal of the Korean Mathematical Society
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• v.34 no.1
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• pp.77-86
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• 1997

Let $\Gamma$ be a discrete subgroup of hyperbolic isometries acting on the Poincare disc $B^m, m \geq 2$. The discrete group $\Gamma$ acts properly discontinously in $B^m$, and acts on $\partial B^m$ as a group of conformal homemorphisms, but need not act properly discontinously on $\partial B^m$.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2007.11a
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• pp.853-861
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• 2007

To understand the concept of dynamic motion in two degree nonlinear coupled system, free vibration not including damping and excitation is investigated with the concept of nonlinear normal mode. Stability analysis of a coupled system is conducted, and the theoretical analysis performed for the bifurcation phenomenon in the system. Bifurcation point is estimated using harmonic balance method. When the bifurcation occurs, the saddle point is always found on Poincare's map. Nonlinear phenomenon result in amplitude modulation near the saddle point and the internal resonance in the system making continuous interchange of energy. If the bifurcation in the normal mode is local, the motion remains stable for a long time even when the total energy is increased in the system. On the other hand, if the bifurcation is global, the motion in the normal mode disappears into the chaos range as the range becomes gradually large.

• Proceedings of the KIEE Conference
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• 2005.10b
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• pp.548-550
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• 2005

본 논문에서는 지문 인식을 하는데 있어서 특징점의 정보를 이용하여 지문을 정합하는 방법을 제안 하였다. 지문에는 중심점(core point), 삼각주(delta point), 분기점(bifurcation), 단점(ending point)들이 있는데, 본 논문에서는 먼저 poincare index를 이용하여 중심점을 검출한다. 검출된 중심점을 중심으로 하여 관심영역(ROI : region of interest)을 결정하여 영역내의 특징점들을 검출하여, 각 각 특징별로 분류한 다음 중심점과 특징점들과의 관계를 계산하여 지문 정합에 이용한다. 입력 받은 지문은 개개인 각각 양손 모두 10개의 손가락에서 센서의 누르기 압력을 다르게 하여 2번 입력 받아 사용하였다. 실험 결과 기존의 특징점 기반 알고리즘 보다 더 적은 영역에서 좀 더 정확하고 신뢰할 수 있는 지문 정합을 보여줌을 확인 하였다.

• Communications of the Korean Mathematical Society
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• v.9 no.4
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• pp.945-950
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• 1994

Although the study of the limit points of discrete groups of M$\ddot{o}$bius transformations has been a fertile area for many decades, there are some very natural topological properties of the limit points which appear not to have been previously examined. Let $\Gamma$ be a nonelementary discrete group of hyperbolic isometries acting on the Poincare disc $B^m, m \geq 2$, and let $p \in \partial B^m$ be a limit point of $\Gamma$. By a neighborhood of p, we will always mean an open neighborhood of p in $\partial B^m$.

• Bulletin of the Korean Mathematical Society
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• v.38 no.2
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• pp.347-355
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• 2001

Let ($X, \omega$) be a closed symplectic 4-manifold. Let a finite cyclic group G act semifreely, holomorphically on X as isometries with fixed point set $\Sigma$(may be empty) which is a 2-dimension submanifold. Then there is a smooth structure on the quotient X'=X/G such that the projection $\pi$:X$\rightarrow$X' is a Lipschitz map. Let L$\rightarrow$X be the Spin$^c$ -structure on X pulled back from a Spin$^c$-structure L'$\rightarrow$X' and b_2^$+(X')>1. If the Seiberg-Witten invariant SW(L')$\neq$0 of L' is non-zero and $L=E\bigotimesK^-1\bigotimesE$ then there is a G-invariant pseudo-holomorphic curve u:$C\rightarrowX$,/TEX> such that the image u(C) represents the fundamental class of the Poincare dual $c_1$(E). This is an equivariant version of the Taubes' Theorem.

• Journal of Ocean Engineering and Technology
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• v.7 no.1
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• pp.13-24
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• 1993

The dispersion in the oscillatory flow generated by gravitational waves above the spatially periodic repples is studied. The steady parts of equations describing the orbit of the passive particle in a two dimensional field are assumed to be simply trigonometric functions. From the view point of nonlinear dynamics, the motion of the particle is chaotic under externally time-periodic perturbations which come from the wave motion. Two cases considered here are; (i) shallow water, and (ii) deep water approximation.