• 제목/요약/키워드: linear stabilities

검색결과 29건 처리시간 0.021초

STABILITY ANALYSIS FOR PREDATOR-PREY SYSTEMS

  • Shim, Seong-A
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제17권3호
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    • pp.211-229
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    • 2010
  • Various types of predator-prey systems are studied in terms of the stabilities of their steady-states. Necessary conditions for the existences of non-negative constant steady-states for those systems are obtained. The linearized stabilities of the non-negative constant steady-states for the predator-prey system with monotone response functions are analyzed. The predator-prey system with non-monotone response functions are also investigated for the linearized stabilities of the positive constant steady-states.

Marangoni 대류계에서의 안정성 교환의 원리 (Principle of Exchange of Stabilities in the Marangoni Convection System)

  • 김민찬
    • Korean Chemical Engineering Research
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    • 제47권2호
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    • pp.262-265
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    • 2009
  • 초기에 안정하게 유지되고 있는 수평 유체층에서 급격한 온도 변화에 의한 Marangoni 대류 발생계에서 안정성 교환의 원리를 해석적으로 증명하였다. 선형 안정성 이론하에서 온도 및 속도의 교란량을 직교함수들의 선형 조합으로 나타내고, 온도 교란의 성장률이 모든 Marangoni 수 범위에 대하여 실수임을 보였다.

Some Asymptotic Stability Theorems in the perturbed Linear Differential System

  • An, Jeong-Hyang;Oh, Yong-Sun
    • 한국산업정보학회논문지
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    • 제7권1호
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    • pp.75-80
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    • 2002
  • 미분시스템의 안정성에 관한 이론에서 페론 방법은 각 개념의 정의와 적분부등식을 통해서 해의 정성적 규명을 연구하는 최근에 가장 일반적 형식 중의 하나이다. 이 논문을 통해서는 특히, 두 개의 섭동 e(t,x)와 f(t,x)를 수반하는 미분 시스템의 자명해와 접근적 안정성의 여러 가지 양태를 페론 방법을 써서 조사해 보고 이들의 충분조건을 찾아 몇 가지 정리를 얻었다.

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척형선박과 비대형선박의 침로안전성의 비교에 관한 연구 (A Study on the Comparison of course Stabilities between Fine-form Ships and Full-form Ships)

  • 황해성;이동섭;윤점동
    • 한국항해학회지
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    • 제16권3호
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    • pp.33-41
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    • 1992
  • Handling performance of a vessel is greatly related with her steering characteristics which consist of two kinds of motion characteristics ; namely course stability and turning ability. The correct prediction of the qualities, especially the steering characteristics is as much important in ship handling as in ship design. It is the purpose of this paper to provide ships handlers better understanding of steering characteristics and then to help them in safe controlling and maneuvering of vessels presenting distinct inherent steering characteristic difference that lies between a fine-form vessel and full-form vessel. The authors calculated dynamic course stabilities of two kinds of ideal models, one of which represents a fine-form ship and the other a full-form ship, based on hydrodynamic data of forces and moments obtained by model tests in maneuvering tanks. The result of calculations indicated that a ship of full-form configuration has inhernet course instability. Though significant nonlinearties affect ship montions in maneuvers, application of linear theory is sufficient for prediction of the maneuvering characteristics of vessels on calm waters for handling reference.

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회전식 및 직선식 레이저 모듈 개발에 관한 연구 (A Study on the Development of the Rotary and Linear Laser Modules)

  • 심민섭;황성주;김동현;이춘만
    • 한국정밀공학회지
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    • 제31권2호
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    • pp.119-123
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    • 2014
  • Recently, laser processing technologies have been developed in many different industrial fields. The laser processing technologies are widely being applied such as laser assisted machining, cladding, heat treatment and coating. In the laser modules of the laser assisted machining system, laser lens is very important for accuracy and productivity of product. As the laser beam size, shape and focusing distance change, heat input energy of preheating point can be changed, the laser module of the laser assisted machining system should be equipped with various lenses differing beam size, beam shape and focusing distance. In this study, the rotary and linear laser modules are suggested. The finite element analysis is carried out to certify the static and dynamic stabilities of the developed laser modules. Finally, the rotary and linear laser modules have been fabricated successfully using the analysis results.

상호작용하는 부상화염의 특성에 관한 연구 (Characteristics of Interacting Lifted Flames)

  • 이승;이병준
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2000년도 제20회 KOSCO SYMPOSIUM 논문집
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    • pp.1-8
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    • 2000
  • The effects of nozzle arrangements, nozzle distances and fuel flowrates on the flame stabilities such as flame length, liftoff height and blowout characteristics are investigated experimentally. Three nozzle arrangements - diamond 4 nozzle, linear 5 nozzle, cross 5 nozzle- are used. Flame interactions result in the increase of the blowout flowrates and constant turbulent liftoff heights. The flames separated about 10 nozzle diameters are sustained as nozzle attached flames to the higher fuel flowrates than the other separation cases. Normally flames are extinguished at the lifted states. Blowout flowrates are affected by the nozzle configuration, nozzle seperation distance. Blowout flowrates for the diamond- or cross- shaped nozzle arrangements are parabolic function of nozzle distances. Maximum blowout flowrates for the 5 nozzle configuration case except linear one is about 2.9 times that of single equivalent nozzle case. Turbulent liftoff heights are not function of flowrates for the interacting flames.

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DYNAMICS ON AN INVARIANT SET OF A TWO-DIMENSIONAL AREA-PRESERVING PIECEWISE LINEAR MAP

  • Lee, Donggyu;Lee, Dongjin;Choi, Hyunje;Jo, Sungbae
    • East Asian mathematical journal
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    • 제30권5호
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    • pp.583-597
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    • 2014
  • In this paper, we study an area-preserving piecewise linear map with the feature of dangerous border collision bifurcations. Using this map, we study dynamical properties occurred in the invariant set, specially related to the boundary of KAM-tori, and the existence and stabilities of periodic orbits. The result shows that elliptic regions having periodic orbits and chaotic region can be divided by smooth curve, which is an unexpected result occurred in area preserving smooth dynamical systems.

Dissociation Kinetics of Linear polyaminopolycarboxylate Complexes of Lanthanides(III)

  • Ki-Young Choi;Ki Sung Kim;Choon Pyo Hong
    • Bulletin of the Korean Chemical Society
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    • 제15권9호
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    • pp.782-785
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    • 1994
  • The dissociation kinetics of linear polyaminopolycarboxylate complexes of lanthanide ions (L$n^{3+}: Ce^{3+},\;Eu^{3+}\;and\;Yb^{3+}$) has been studied in an aqueous solution of 0.10 M (NaCl$O_4$) at 25.0${\pm}0.1^{\circ}C$ using Cu(II) ions as a scavenger. The dissociation rates of acid-catalyzed pathway decrease in the order Ln(EPDTA$)^- > Ln(DPOT)^- > In(TMDTA)^- > Ln(MPDTA)^- > Ln(EDTA)^- > Ln(PDTA)^- > Ln(DCTA)^-$ according to the present and literature data. An increase in the N-Ln-N chelate ring from 5 to 6 and substitution of two methyl groups, one ethyl and hydroxyl group on a chelate ring carbon of these ligands leads to a decrease in kinetic stabilities of the complexes. The substitution of one methyl group and cyclohexyl ring on a ring carbon, however, results in a significant increase in the kinetic stability of the resulting $Ln^{3+}$ complexes. Individual reaction steps taking place for each system, with different copper, acetate buffer concentration and pH dependence, are also discussed.

Robust 제어기를 이용한 발전 여자 시스템 전력 안정도 개선 (PSS Improvement of Generator Excitation System using Robust Controller)

  • 홍현문;최재호;류홍우
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 A
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    • pp.364-367
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    • 1996
  • This paper deals with the design and evaluation of the robust controller for generator excitation system to improve the steady state and transient stabilities. The nonlinear characteristics of the system is treated as model uncertainties, and then the robust control techniques are introduced into the PSS design to take into account these uncertainties at the controller design stage. The performance of the designed controller is examined by extensive non-linear time domain simulation. It is shown that the performance of the robust controller is superior to that of the conventional PSS in all cases studied.

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Fabrication of Hybrid Films Using Titanium Chloride and 2,4-hexadiyne-1,6-diol by Molecular Layer Deposition

  • 윤관혁;성명모
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2012년도 제42회 동계 정기 학술대회 초록집
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    • pp.418-418
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    • 2012
  • We fabricated a new type of hybrid film using molecular layer deposition (MLD). The MLD is a gas phase process analogous to atomic layer deposition (ALD) and also relies on a saturated surface reaction sequentially which results in the formation of a monolayer in each sequence. In the MLD process, polydiacetylene (PDA) layers were grown by repeated sequential surface reactions of titanium tetrachloride and 2,4-hexadiyne-1,6-diol with ultraviolet (UV) polymerization under a substrate temperature of $100^{\circ}C$. Ellipsometry analysis showed a self-limiting surface reaction process and linear growth of the hybrid films. Polymerization of the hybrid films was confirmed by infrared (IR) spectroscopy and UV-Vis spectroscopy. Composition of the films was confirmed by IR spectroscopy and X-ray photoelectron (XP) spectroscopy. The titanium oxide cross-linked polydiacetylene (TiOPDA) hybrid films exhibited good thermal and mechanical stabilities.

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