• 제목/요약/키워드: limit dynamical system

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리미트사이클을 발생하는 연속시간 모델 순환결합형 신경회로망에서 카오스 신호의 영향 (Analysis of Dynamical State Transition and Effects of Chaotic Signal in Continuous-Time Cyclic Neural Network)

  • 박철영
    • 한국지능시스템학회논문지
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    • 제16권4호
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    • pp.396-401
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    • 2006
  • 순환결합형 신경회로망은 복수 개의 리미트사이클을 생성하며 따라서, 많은 동적 정보를 저장할 수 있는 메모리 시스템으로 사용할 수 있다는 것이 알려져 있다. 본 논문에서는 각 뉴런이 최근접 뉴런에만 이진화한 결합하중 ${\pm}1$로 연결된 연속 시간모델 순환결합형 신경회로망을 구현하였다. 그리고 이런 회로망을 통해 생성되는 리미트사이클의 수와 패턴을 시뮬레이션을 통하여 나타내었다. 또한 카오스 신호를 인가하여 리미트사이클 사이의 천이 가능성을 입증하였다. 특히, 카오스 신호 이외의 랜덤 노이즈를 이용한 해석을 통하여 동적 신경회로망에 카오스 노이즈를 인가하는 경우의 유효성을 검토하였다.

마찰 기인 2 자유도계 시스템의 자려진동에 대한 댐핑의 영향 (The effects of damping on the limit cycle of a 2-dof friction induced self-oscillation system)

  • 조용구;신기흥;오재웅
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.89-96
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    • 2002
  • A two-degree of freedom model is suggested to understand the basic dynamical behaviors of the interaction between two masses of the friction induced vibration system. The two masses may be considered as the pad and the disk of the brake, The phase space analysis is performed to understand complicated dynamics of the non-linear model. Attractors in the phase space are examined for various conditions of the parameters of the model especially by emphasizing on the damping parameters. In certain conditions, the attractor becomes a limit cycle showing the stick-slip phenomena. In this paper, not only the existence of the limit cycle but also the size of the limit cycle is examined to demonstrate the non-linear dynamics that leads the unstable state. For the two different cases of the system frequency ((1)two masses with same natural frequencies, (2) with different natural frequencies), the propensity of limit cycle is discussed in detail. The results show an important fact that it may make the system worse when too much damping is present in the only one part of the masses.

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마찰 기인 2자유도계 시스템의 자려진동에 대한 댐핑의 영향 (The Effects of Damping on the Limit Cycle of a 2-dof Friction Induced Self-oscillation System)

  • 조용구;신기홍;이유엽;오재응
    • 한국소음진동공학회논문집
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    • 제12권7호
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    • pp.502-509
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    • 2002
  • A two-degree of freedom model Is suggested to understand the basic dynamical behaviors of the interaction between two masses of the friction induced vibration system. The two masses may be considered as the pad and the dusk of the brake. The phase space analysis is performed to understand complicated dynamics of the non-linear model. Attractors in the phase space are examined for various conditions of the parameters of the model especially by emphasizing on the damping parameters. In certain conditions, the attractor becomes a limit cycle showing the stick-slip phenomena. In this Paper, not only titre existence of the limit cycle but also the sloe of the limit cycle is examined to demonstrate the non-linear dynamics that leads the unstable state. For the two different cases of the system frequency[(1) Two masses with same natural frequencies, (2) with different natural frequencies] . the propensity of limit cycle Is discussed In detail. The results show an important fact that it may make the system worse when too much damping Is present in the only one part of the masses.

On the Dynamical Behavior of a Two-Prey One-Predator System with Two-Type Functional Responses

  • Baek, Hunki
    • Kyungpook Mathematical Journal
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    • 제53권4호
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    • pp.647-660
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    • 2013
  • In the paper, a two-prey one-predator system with defensive ability and Holling type-II functional responses is investigated. First, the stability of equilibrium points of the system is discussed and then conditions for the persistence of the system are established according to the existence of limit cycles. Numerical examples are illustrated to attest to our mathematical results. Finally, via bifurcation diagrams, various dynamic behaviors including chaotic phenomena are demonstrated.

속도 압력항의 마찰 기인 4 자유도계 시스템의 자려진동에 대한 연구 (The study on the 4-dof friction induced self-oscillation system with friction coefficient of velocity and pressure)

  • 조용구;신기홍;이정윤;오재응
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.255-261
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    • 2002
  • A four-degree of freedom model is suggested to understand the basic dynamical behaviors of the normal interaction between two masses of the friction induced normal vibration system. The two masses may be considered as the pad and the disk of the brake. The phase space analysis is performed to understand complicated in-plane dynamics of the non-linear model. Attractors in the phase space are examined for various conditions of the parameters. In certain conditions, the attractor becomes a limit cycle showing the stick-slip phenomena. In this paper, on the basis of the in-plane motion not only the existence of the limit cycle but also the size of the limit cycle is examined o demonstrate the non-linear dynamics that leads the unstable state and then the normal vibration is investigated as the state of the in-plane motion For only one case of the system frequency(two masses with same natural frequencies), the propensity of the normal vibration is discussed in detail. The results show an important fact that it may be not effective when too much damping is present in the only one part of the masses.

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Using Largest Lyapunov Exponent to Confirm the Intrinsic Stability of Boiling Water Reactors

  • Gavilan-Moreno, Carlos J.;Espinosa-Paredes, Gilberto
    • Nuclear Engineering and Technology
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    • 제48권2호
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    • pp.434-447
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    • 2016
  • The aim of this paper is the study of instability state of boiling water reactors with a method based in largest Lyapunov exponents (LLEs). Detecting the presence of chaos in a dynamical system is an important problem that is solved by measuring the LLE. Lyapunov exponents quantify the exponential divergence of initially close state-space trajectories and estimate the amount of chaos in a system. This method was applied to a set of signals from several nuclear power plant (NPP) reactors under commercial operating conditions that experienced instabilities events, apparently each of a different nature. Laguna Verde and Forsmark NPPs with in-phase instabilities, and Cofrentes NPP with out-of-phases instability. This study presents the results of intrinsic instability in the boiling water reactors of three NPPs. In the analyzed cases the limit cycle was not reached, which implies that the point of equilibrium exerts influence and attraction on system evolution.

열-음향학적 불안정 현상의 능동제어를 위한 동역학적 모델링 및 시스템 식별기법 현황 (Dynamical modeling and system identification for active control of thermo-acoustic instabilities: survey)

  • 나선화;고상호
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2010년도 제34회 춘계학술대회논문집
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    • pp.279-287
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    • 2010
  • 본 논문에서는 가스터빈 엔진, 로켓 등과 같은 연소시스템에서 발생하는 고진폭-고주파 열음향학적 불안정을 능동적으로 제어하는데 필수적인 동역학적 모델링에 대한 연구 동향을 소개한다. 이를 위하여 1990년대 이후에 진행되었던 연구를 저차의 시스템 모델링 기법을 중심으로 조사하였으며, 특히 물리적 원리로부터 모델의 구조를 결정하고 시스템의 입출력 데이터를 기반으로 모델 파라미터를 추정하는 그레이박스 접근방법과 물리적 원리의 적용 없이 시스템 특성을 추정하는 블랙박스 기법을 소개한다. 또한 동 분야에 대한 향후 가능성에 대하여 간략히 기술한다.

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2자유도계 모델을 이용한 디스크 브레이크 스퀼 소음에 대한 댐핑의 영향에 관한 연구 (The Effect of Damping of a Two-degree-of-freedom Model for the Disc Brake Squeal Noise)

  • 신기홍;조용구;오재응
    • 한국소음진동공학회논문집
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    • 제13권12호
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    • pp.903-910
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    • 2003
  • A two-degree-of-freedom model is suggested to describe basic dynamical behaviors of the interaction between the pad and the disc of a disc brake system. Although a pad (and a disc) has many modes of vibration in practice, only one mode of each component Is considered. In this paper, a linear analysis is performed by means of the stability analysis to show various conditions for the system to become unstable, and is based on the assumption that the existence of limit cycle (this corresponds to an unstable equilibrium point inside the limit cycle) represents the squeal state of the disc brake system. The results of the stability analysis show that the damping of the disc is as much Important as that of the pad, whereas the damping of the pad only is considered In most practical situations.

Nonlinear Response of Classical Dynamical Systems to Short Pulses

  • Dellago, Christoph;Mukamel, Shaul
    • Bulletin of the Korean Chemical Society
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    • 제24권8호
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    • pp.1107-1110
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    • 2003
  • Valuable insight into the nonlinear dynamics of a system can be gleaned from its response to a single intense short pulse. We derive expressions for the corresponding nonlinear response functions and show that the fluctuation-dissipation theorem may be extended beyond the linear response limit to an arbitrary pulse intensity. As an illustrative example, we calculate response functions up to 11th order for the regular Lorentz gas in two dimensions.

열-음향학적 불안정 현상의 능동제어를 위한 동역학적 모델링에 관한 현황 분석 (A Survey on Dynamical Modeling for Active Control of Thermo-Acoustic Instabilities)

  • 나선화;고상호
    • 한국추진공학회지
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    • 제15권6호
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    • pp.78-90
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    • 2011
  • 본 논문에서는 가스터빈 엔진, 로켓 등과 같은 연소시스템에서 발생하는 열음향학적 불안정을 능동적으로 제어하는데 필수적인 동역학적 모델링에 대한 연구 동향을 소개한다. 이를 위하여 1990년대 이후에 진행되었던 관련 연구를 저차의 시스템 모델링 기법을 중심으로 조사하였다. 특히 물리적 원리로부터 모델의 구조를 결정하고 시스템의 입출력 데이터를 기반으로 모델 파라미터를 추정하는 그레이박스 접근방법과 물리적 원리의 적용 없이 시스템 특성을 추정하는 블랙박스 기법을 소개한다. 마지막으로 동 분야에 대한 향후 연구 가능성에 대하여 토의한다.