• Title/Summary/Keyword: ${\omega}$-limit

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NONWANDERING SETS OF THE POWERS ON THE CIRCLE

  • Cho, Seong Hoon
    • Journal of the Chungcheong Mathematical Society
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    • v.9 no.1
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    • pp.107-113
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    • 1996
  • For continuous maps f of the circle to itself, we show that (1) the set of ${\omega}$-limit points is contained in the set of nonwandering points of $f^n$ for all $n{\geq}1$. (2) if the set of turning points of f is finite, then the set of accumulation points of non wandering set is contained in the set of non wandering points of $f^n$ for all $n{\geq}1$.

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NONWANDERING POINTS OF A MAP ON THE CIRCLE

  • Bae, Jong-Sook;Cho, Seong-Hoon;Min, Kyung-Jin;Yang, Seung-Kab
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1115-1122
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    • 1996
  • In study of the dynamics of a map f from a topological space X to itself, a central role is played by the various recursive properties of the points of X. One such property is periodicity. A weaker property is that of being nonwandering. Intermediate recursive properties include almost periodicity and recurrence.

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DISSIPATIVE RANDOM DYNAMICAL SYSTEMS AND LEVINSON CENTER

  • Asmahan A. Yasir;Ihsan J. Kadhim
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.521-535
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    • 2023
  • In this work, some various types of Dissipativity in random dynamical systems are introduced and studied: point, compact, local, bounded and weak. Moreover, the notion of random Levinson center for compactly dissipative random dynamical systems presented and prove some essential results related with this notion.

Quantum Interference Experiments with Frequency Entangled Photon Pairs at 1.5 ㎛ Telecommunication Band (1.5 ㎛ 통신파장대역 진동수 얽힘 광자쌍의 양자간섭)

  • Kim, Heon-Oh;Kim, Yong-Soo;Youn, Chun-Ju;Cho, Seok-Beom
    • Korean Journal of Optics and Photonics
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    • v.22 no.6
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    • pp.276-282
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    • 2011
  • We performed experiments on Hong-Ou-Mandel type two-photon interference with frequency entangled photon pairs at 1.5 ${\mu}m$ telecommunication band generated through femtosecond pulsed spontaneous parametric down-conversion. Two different angular frequencies ${\omega}_1$ and ${\omega}_2$ were selected using CWDM(coarse wavelength division multiplexing) filters at the output ports of the interferometer. The coincidence counting rates were measured with varying path-length difference between the two interferometer arms to observe the two-photon interference patterns of spatial beating. The obtained visibilities in the net coincidence were close to the theoretical limit of 100%.

Modeling on Ratio-Dependent Three-Trophic Population Dynamics Responding to Environmental Impacts (외부 환경영향에 대한 밀도비 의존 3영양단계의 개체군 동태 모델)

  • Lee, Sang-Hee;Choi, Kyung-Hee;Chon, Tae-Soo
    • Korean Journal of Ecology and Environment
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    • v.37 no.3 s.108
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    • pp.304-312
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    • 2004
  • The transient dynamics of three-trophic populations (prey, predator, and super predator) using ratio-dependent models responding to environmental impacts is analyzed. Environmental factors were divided into two parts: periodic factor (e.g., temperature) and general noise. Periodic factor was addressed as a frequency and bias, while general noise was expressed as a Gaussian distribution. Temperature bias ${\varepsilon}$, temperature frequency ${\Omega}$, and Gaussian noise amplitude ${\`{O}}$ accordingly revealed diverse status of population dynamics in three-trophic food chain, including extinction of species. The model showed stable limit cycles and strange attractors in the long-time behavior depending upon various values of the parameters. The dynamic behavior of the system appeared to be sensitive to changes in environmental input. The parameters of environmental input play an important role in determining extinction time of super predator and predator populations.

Load-Pull Measurement for High Power, High Efficiency PA Design (고출력, 고효율 PA 설계를 위한 로드-풀 측정)

  • Lim, Eun-Jae;Lee, Gyeong-Bo;Rhee, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.10 no.8
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    • pp.945-952
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    • 2015
  • Power amplification device which is matched to $50{\Omega}$ in order to achieve a high efficiency of a power amplifier using a GaN power amplification device, since there is a limit of application frequency bands, output power, efficiency characteristics selection, in this study based on the measurement data through the source/load-pull test, high output power and to extract quantitative input and output impedance that matches the design objectives of high output power, high efficiency, an implementation of the high efficiency power amplifier. Implemented power amplifier is shows 25watt(44dBm), PAE of 66-76% characteristics in the frequency band of 2.7-3.1 GHz.

Study on Development of the Isolation Resistance Measurement System for Hydrogen Fuel Cell Vehicle (수소연료전지자동차용 절연저항 측정시스템 개발에 관한 연구)

  • Lee, Ki-Yeon;Kim, Dong-Ook;Moon, Hyun-Wook;Kim, Hyang-Kon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.5
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    • pp.1068-1072
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    • 2011
  • Hydrogen Fuel Cell Vehicle(HFCV) is system that uses electrical energy of fuel cell stack to main power source, which is different system with other vehicles that use high-voltage, large-current. Isolation performance of this system which is connected with electrical fire and electrical shock is important point. Isolation resistance of electric installation is divided according to working voltage, it follows criterion more than $100{\Omega}$/VDC (or $500{\Omega}$/VAC) about system operation voltage in a hydrogen fuel cell vehicle. Although measurement of isolation resistance in a hydrogen fuel cell vehicle is two methods, it uses mainly measurement by megger. However, the present isolation resistance measurement system that is optimized to use in electrical facilities is unsuitable for isolation performance estimation of a hydrogen fuel cell vehicle because of limit of maximum short current and difference of measurement resolution. Therefore, this research developed the isolation resistance measurement system so that may be suitable in isolation performance estimation of a hydrogen fuel cell vehicle, verified isolation performance about known resistance by performance verification of laboratory level about developed system, and executed performance verification through comparing results of developed system by performance verification of vehicle level with ones of existing megger. Developed system is judged to aid estimation and upgrade of isolation performance in a hydrogen fuel cell vehicle hereafter.

An Unequal Divider based on Transmission Line with Periodic Capacitor Shunt Connection (캐패시터가 주기적으로 병렬 연결된 전송선로를 이용한 비대칭 분배기)

  • Kim, Young;Yoon, Young-Chul
    • Journal of Advanced Navigation Technology
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    • v.16 no.5
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    • pp.781-786
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    • 2012
  • In this paper, we propose the design and performance of an unequal divider using transmission line with periodic capacitor shunt connection. To design divider with a high dividing ratio, we limit a high impedance line value to fabricate microstrip line and also, design a low impedance line of below $10{\Omega}$ using periodic capacitor shunt connection. As a design example, a 10:1 ratio divider was designed and measured at center frequency 1 GHz to show the validity of the unequal divider using periodic capacitor shunt connection. Its performance is in good agreements with the simulated results.

ANALOGUE OF WIENER INTEGRAL IN THE SPACE OF SEQUENCES OF REAL NUMBERS

  • Ryu, Kun Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.1
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    • pp.65-72
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    • 2012
  • Let T > 0 be given. Let $(C[0,T],m_{\varphi})$ be the analogue of Wiener measure space, associated with the Borel proba-bility measure ${\varphi}$ on ${\mathbb{R}}$, let $(L_{2}[0,T],\tilde{\omega})$ be the centered Gaussian measure space with the correlation operator $(-\frac{d^{2}}{dx^{2}})^{-1}$ and ${\el}_2,\;\tilde{m}$ be the abstract Wiener measure space. Let U be the space of all sequence $<c_{n}>$ in ${\el}_{2}$ such that the limit $lim_{{m}{\rightarrow}\infty}\;\frac{1}{m+1}\;\sum{^{m}}{_{n=0}}\;\sum_{k=0}^{n}\;c_{k}\;cos\;\frac{k{\pi}t}{T}$ converges uniformly on [0,T] and give a set function m such that for any Borel subset G of $\el_2$, $m(\mathcal{U}\cap\;P_{0}^{-1}\;o\;P_{0}(G))\;=\tilde{m}(P_{0}^{-1}\;o\;P_{0}(G))$. The goal of this note is to study the relationship among the measures $m_{\varphi},\;\tilde{\omega},\;\tilde{m}$ and $m$.

Electrical and Optical Properties of Sb-doped SnO2 Thin Films Fabricated by Pulsed Laser Deposition (펄스레이저 공정으로 제조한 Sb가 도핑된 SnO2 박막의 전기적 및 광학적 특성)

  • Jang, Ki-Sun;Lee, Jung-Woo;Kim, Joongwon;Yoo, Sang-Im
    • Journal of the Korean Ceramic Society
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    • v.51 no.1
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    • pp.43-50
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    • 2014
  • We fabricated undoped and Sb-doped $SnO_2$ thin films on glass substrates by a pulsed laser deposition (PLD) process. Undoped and 2 - 8 wt% $Sb_2O_3$-doped $SnO_2$ targets with a high density level of ~90% were prepared by the spark plasma sintering (SPS) process. Initially, the effects of the deposition temperature on undoped $SnO_2$ thin films were investigated in the region of $100-600^{\circ}C$. While the undoped $SnO_2$ film exhibited the lowest resistivity of $1.20{\times}10^{-2}{\Omega}{\cdot}cm$ at $200^{\circ}C$ due to the highest carrier concentration generated by the oxygen vacancies, 2 wt% Sb-doped $SnO_2$ film exhibited the lowest resistivity value of $5.43{\times}10^{-3}{\Omega}{\cdot}cm$, the highest average transmittance of 85.8%, and the highest figure of merit of 1202 ${\Omega}^{-1}{\cdot}cm^{-1}$ at $400^{\circ}C$ among all of the doped films. These results imply that 2 wt% $Sb_2O_3$ is an optimum doping content close to the solubility limit of $Sb^{5+}$ substitution for the $Sb^{4+}$ sites of $SnO_2$.