• 제목/요약/키워드: Periodic solutions

검색결과 318건 처리시간 0.027초

HOMOCLINIC ORBITS IN TRANSITIONAL PLANE COUETTE FLOW

  • Lustro, Julius Rhoan T.;Kawahara, Genta;van Veen, Lennaert;Shimizu, Masaki
    • 한국전산유체공학회지
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    • 제20권4호
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    • pp.58-62
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    • 2015
  • Recent studies on wall-bounded shear flow have emphasized the significance of the stable manifold of simple nonlinear invariant solutions to the Navier-Stokes equation in the formation of the boundary between the laminar and turbulent regions in state space. In this paper we present newly discovered homoclinic orbits of the Kawahara and Kida(2001) periodic solution in plane Couette flow. We show that as the Reynolds number decreases a pair of homoclinic orbits move closer to each other until they disappear to exhibit homoclinic tangency.

유한한 평판에서 포물선형 및 쌍곡선형 열전도 방정식과 파동 방정식의 비교 해석 (Comparative Analysis of the Parabolic and Hyperbolic Heat Conduction and the Damped Wave in a Finite Medium)

  • 박상규;이용호
    • 동력기계공학회지
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    • 제3권3호
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    • pp.14-21
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    • 1999
  • The wave nature of heat conduction has been developed in situations involving extreme thermal gradients, very short times, or temperatures near absolute zero. Under the excitation of a periodic surface heating in a finite medium, the hyperbolic and parabolic heat conduction equations and the damped wave equations in heat flux are presented for comparative analysis by using the Green's function with the integral transform technique. The Kummer transformation is also utilized to accelerate the rate of convergence of these solutions. On the other hand, the temperature distributions are obtained through integration of the energy conservation law with respect to time. For hyperbolic heat conduction, the heat flux distribution does not exist throughout all the region in a finite medium within the range of very short times(${\xi}<{\eta}_l$). It is shown that due to the thermal relaxation time, the hyperbolic heat conduction equation has thermal wave characteristics as the damped wave equation has wave nature.

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Stability and non-stationary vibration analysis of beams subjected to periodic axial forces using discrete singular convolution

  • Song, Zhiwei;Li, Wei;Liu, Guirong
    • Structural Engineering and Mechanics
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    • 제44권4호
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    • pp.487-499
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    • 2012
  • Dynamic instability of beams subjected to periodic axial forces is studied using the discrete singular convolution (DSC) method with the regularized Shannon's delta kernel. The principal regions of dynamic instability under different boundary conditions are examined in detail, and the non-stationary vibrations near the stability-instability critical regions have been investigated. It is found that the results obtained by using the DSC method are consistent with the analytical solutions, which shows that the DSC algorithm is suitable for the problems considered in this study. It was found that there is a narrow region of beat vibration existed in the vicinity of one side (${\theta}/{\Omega}$ > 1) of the boundaries of the instable region for each condition.

Nonlinear Dynamics of Homogeneous Azeotropic Distillations

  • Lee, Moonyong;Cornelius Dorn;Manfred Morari
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.461-467
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    • 1998
  • In spite of significant nonlinearities even in the simplest model, some types of steady-state and dynamic behavior common for nonlinear systems have never been associated with distillation columns. In recent years, multiplicity of steady states has been a subject of much research and is now widely accepted. Subsequently, stability of steady states has been explored. Another phenomenon that. although widely observed in chemical reactors, has not been associated with models of distillation columns is the existence of periodic oscillations. In this article we study the steady-state and dynamic behavior of the azeotropic distillation of the ternary homogeneous system methanol-methyl butyrate-toluene. Our simulations reveal nonlinear behavior not reported in earlier studies. Under certain conditions, the open-loop distillation system shows a sustained oscillation associated with branching to periodic solutions. The limit cycles are accompanied by traveling waves inside the column. Significant underdamped oscillations are also observed over a wide range of product rates.

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유전자 프로그래밍을 이용한 생체 신호의 비선형 특성 모델링에 관한 연구 (A study on the Modeling of Nonlinear Properties of Biological Signal using Genetic Programming)

  • 김보연;박광석
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1996년도 추계학술대회
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    • pp.70-73
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    • 1996
  • Many researchers had considered biological systems as linear systems. In many cases of biological systems, the phenomena that show the regular and periodic dynamics are considered the normal state. However, some clinical experiments reported, in some cases, the periodic signals represented the abnormal state. We assume that signals from human body system are generated from deterministic, intrinsic mechanisms and can be represented a simple equation that show nonlinear dynamics dependent on control parameters. The objective of our study is to model a nonlinear dynamics correctly from the nonlinear time series using the genetic programming method; to find a simple equation of nonlinear dynamics using collected time series and its nonlinear characteristics. We applied genetic programming to model RR interval of ECG that shows chaotic phenomena. We used 4 statistic measures and 2 fractal measures to estimate fitness of each chromosome, and could obtain good solutions of which chaotic features are similar.

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Periodic I/O Scheduling for the Storage of MPEG-DASH Video Servers

  • Seong Chae Lim
    • International journal of advanced smart convergence
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    • 제13권3호
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    • pp.31-40
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    • 2024
  • The proliferation of video streaming services has led to a need for flexible networking protocols. As a result, the Dynamic Adaptive Streaming over HTTP (MPEG-DASH) protocol has emerged as a dominant streaming protocol due to its ability to dynamically adjust playback bitrates according to the end-user's network conditions. In this paper, we propose a novel I/O scheduling scheme tailored for the storage of MPEG-DASH-enabled video servers. Using the renowned rate-reservation (RR) algorithm and bulk-SCAN mechanism, our proposed scheme improves storage bandwidth utilization while ensuring seamless playback of streams with varying bitrates. In addition, we provide a mechanism for reclaiming the idle I/O time typically incurred while retrieving video segments from storage. Consequently, our scheme offers practical solutions for reducing the storage costs of MPEG-DASH video servers. With a simple cost model, we evaluate the performance enhancements achieved by our proposed I/O scheduling scheme.

A WFE and hybrid FE/WFE technique for the forced response of stiffened cylinders

  • Errico, Fabrizio;Ichchou, M.;De Rosa, S.;Bareille, O.;Franco, F.
    • Advances in aircraft and spacecraft science
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    • 제5권1호
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    • pp.1-19
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    • 2018
  • The present work shows many aspects concerning the use of a numerical wave-based methodology for the computation of the structural response of periodic structures, focusing on cylinders. Taking into account the periodicity of the system, the Bloch-Floquet theorem can be applied leading to an eigenvalue problem, whose solutions are the waves propagation constants and wavemodes of the periodic structure. Two different approaches are presented, instead, for computing the forced response of stiffened structures. The first one, dealing with a Wave Finite Element (WFE) methodology, proved to drastically reduce the problem size in terms of degrees of freedom, with respect to more mature techniques such as the classic FEM. The other approach presented enables the use of the previous technique even when the whole structure can not be considered as periodic. This is the case when two waveguides are connected through one or more joints and/or different waveguides are connected each other. Any approach presented can deal with deterministic excitations and responses in any point. The results show a good agreement with FEM full models. The drastic reduction of DoF (degrees of freedom) is evident, even more when the number of repetitive substructures is high and the substructures itself is modelled in order to get the lowest number of DoF at the boundaries.

원전 DCS용 제어통신망 설계 (A Design of Control Network for DCS in Nuclear Power Plant)

  • 이재민;박태림;문홍주;권욱현
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 하계종합학술대회 논문집(1)
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    • pp.85-88
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    • 2000
  • Distributed Control System(DCS) is one of the best solutions to implement control systems because it provides continuous observation of control process and execution of commands to induce proper operations. In this paper, a design of control network for DCS in nuclear power plant is proposed. The proposed control network on DCS has a simple architecture and deterministic property. Thus, the proposed control network offers hard real-time periodic service. It also has redundant media for the fault-tolerance. As a result, high safety and reliability required in nuclear power plant are guaranteed.

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비선형 현수교 방정식의 주기함수로 나타나는 해에 대한 연구 (A note on the periodic solutions of the nonlinear suspension bridge equation)

  • 한춘호;심도식
    • 산업기술연구
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    • 제17권
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    • pp.125-130
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    • 1997
  • 이 논문에서는 비선형 빔방정식을 이용할 수 있는 현수교방정식의 존재하는 해의 개수를 조사하였다. 외부에서 주어지는 함수가 주기함수일 경우에 나타나는 여러 가지 성질들을 조사하였으며 주어진 항들의 계수가 상수인 경우 어떤 범위에서 몇 개의 해가 존재할 수 있는지를 조사하였다. Leray-Schauder degree를 이용하여 존재할 수 있는 해의 개수를 판별하는 근거로 삼았다. 특히 일정한 항의 계수가 변수를 포함하는 경우에 나타날 수 있는 변화에 대하여 조사하였다.

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VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM

  • JUNG, TACKSUN;CHOI, Q-HEUNG
    • 대한수학회보
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    • 제52권4호
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    • pp.1149-1167
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    • 2015
  • We get a theorem which shows the existence of at least four $2{\pi}$-periodic weak solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity. We obtain this result by using the variational method, the critical point theory induced from the limit relative category theory.