• 제목/요약/키워드: Chaotic phenomena

검색결과 72건 처리시간 0.024초

Chaotic Behavior in a Dynamic Love Model with Different External Forces

  • Bae, Youngchul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제15권4호
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    • pp.283-288
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    • 2015
  • In this paper, we propose a dynamic mathematical model of love involving various external forces, in order to analyze the chaotic phenomena in a love model based on Romeo and Juliet. In addition, we investigate the nonlinear phenomena in a love model with external forces using time series and phase portraits. In order to describe nonlinear phenomena precisely using time series and phase portraits, we vary the type of external force, using models such as a sine wave, chopping wave, and square wave. We also apply various different parameters in the Romeo and Juliet model to acquire chaotic dynamics.

Bonhoeffer - van der Pol 오실레이터 모델에서의 미소 파라미터 섭동에 의한 카오스 제어 (A study on Controlling chaos for Bonhoeffer-van der Pol oscillation model by small parameter perturbation)

  • 배영철
    • 한국전자통신학회논문지
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    • 제1권1호
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    • pp.49-55
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    • 2006
  • Applied by periodic Stimulating Currents in Bonhoeffer -Van der Pol(BVP) model, chaotic and periodic phenomena occured at specific conditions. The conditions of the chaotic motion in BVP comprised 0.7182< $A_1$ <0.792 and 1.09< $A_1$ <1.302 proved by the analysis of phase plane, bifurcation diagram, and lyapunov exponent. To control the chaotic motion, two methods were suggested by the first used the amplitude parameter A1, $A1={\varepsilon}((x-x_s)-(y-y_s))$ and the second used the temperature parameterc, $c=c(1+{\eta}cos{\Omega}t)$ which the values of ${\eta},{\Omega}$ varied respectlvly, and $x_s$, $y_s$ are the periodic signal. As a result of simulating these methods, the chaotic phenomena was controlled with the periodic motion of periodisity. The feasibilities of the chaotic and the periodic phenomena were analysed by phase plane Poincare map and lyapunov exponent.

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Bonhoeffer - van der Pol 오실레이터 모델에서의 미소 파라미터 섭동에 의한 카오스 제어 (The study of Controlling chaos for Bonhoeffer-van der Pol oscillation model by small parameter perturbation)

  • 배영철;고재호;임화영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 하계학술대회 논문집 B
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    • pp.817-819
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    • 1995
  • Applied by periodic Stimulating Currents in Bonhoeffer-Van der Pol(BVP) model, chaotic and periodic phenomena occured at specific conditions. The conditions of the chaotic motion in BVP comprised 0.7182< $A_{1}$ <0.792 and 1.09< $A_{1}$ <1.302 proved by the analysis of phase plane, bifurcation diagram, and lyapunov exponent. To control the chaotic motion, two methods were suggested by the first used the amplitude parameter $A_{1}$,$A_{1}={\varepsilon}((x-x_{s})-(y-y_{s}))$ and the second used the temperature parameter c, c=c$(1+ {\eta}cos{\Omega}t)$ which the values of $\eta$, ${\Omega}$ varied respectlvly, and $x_{s}$, $y_{s}$ are the periodic signal. As a result of simulating these methods, the chaotic phenomena was controlled with the periodic motion of periodisity. The feasibilities of the chaotic and the periodic phenomena were analysed by phase plane and lyapunov exponent.

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카오스 뉴론회의 구현 및 상호연결에 관한 연구 (A Study on Implementation and Interconnection of Chaotic Neuron Circuit)

  • 이익수;여진경;이경훈;여지환;정호선
    • 전자공학회논문지B
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    • 제33B권2호
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    • pp.131-139
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    • 1996
  • This paper describes the chaotic neuron model to represent the complicated states of brain and analyzes the dynamical responses of chaotic neuron such as periodic, bifurcation, and chaotic phenomena which are simulated iwth numerical analysis. Next, the chaotic neuron circuit is implemented w ith the analog electronic devices. The transfer function of chaotic neuron is given by summed the linear and nonlinear property. The output function of chaojtic neuron is designed iwth the two cMOS inverters and a feedback resistor. By adjusting the external voltage, the various dynamical properties are demonstrated. In addition, we construt the chaotic neural networks which are composed of the interconnection of chaotic neuroncircuit such as serial, paralle, and layer connection. On the board experiment, we proved the dynamci and chaotic responses which exist in the human brain.

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외부 환경을 가진 사랑 모델에서 컬러 잡음을 고려한 카오스 거동 현상 (Chaotic Behavior Phenomena in Love Model with External Environment considering Colored Noise)

  • 손영우;배영철
    • 한국전자통신학회논문지
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    • 제15권2호
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    • pp.343-348
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    • 2020
  • 지난 50년에 걸쳐 카오스 이론은 수학, 물리학에서 관심을 가지고 연구하기 시작하여 공학, 사회과학 분야에까지 연구가 확장되어왔다. 최근에는 자연과학과 사회과학을 융합한 융합 연구 형태로 발전하고 있다. 이러한 융합의 연구는 중독문제, 인간의 행복문제, 가족들 사이에서 발생하는 문제, 남녀 간의 사랑 문제를 포함한다. 본 논문에서는 이러한 융합 연구의 하나인 사랑 모델을 기반으로 외부 환경을 고려하고, 이 외부 환경에 컬러 잡음을 반영하였을 때, 사랑 모델에서 카오스 패턴이 어떤 영향을 받는지를 시계열 데이터와 위상공간을 통하여 검증한다.

Robustness of Data Mining Tools under Varting Levels of Noise:Case Study in Predicting a Chaotic Process

  • Kim, Steven H.;Lee, Churl-Min;Oh, Heung-Sik
    • 한국경영과학회지
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    • 제23권1호
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    • pp.109-141
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    • 1998
  • Many processes in the industrial realm exhibit sstochastic and nonlinear behavior. Consequently, an intelligent system must be able to nonlinear production processes as well as probabilistic phenomena. In order for a knowledge based system to control a manufacturing processes as well as probabilistic phenomena. In order for a knowledge based system to control manufacturing process, an important capability is that of prediction : forecasting the future trajectory of a process as well as the consequences of the control action. This paper examines the robustness of data mining tools under varying levels of noise while predicting nonlinear processes, includinb chaotic behavior. The evaluated models include the perceptron neural network using backpropagation (BPN), the recurrent neural network (RNN) and case based reasoning (CBR). The concepts are crystallized through a case study in predicting a chaotic process in the presence of various patterns of noise.

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Chaotic Forecast of Time-Series Data Using Inverse Wavelet Transform

  • Matsumoto, Yoshiyuki;Yabuuchi, Yoshiyuki;Watada, Junzo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.338-341
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    • 2003
  • Recently, the chaotic method is employed to forecast a near future of uncertain phenomena. This method makes it possible by restructuring an attractor of given time-series data in multi-dimensional space through Takens' embedding theory. However, many economical time-series data are not sufficiently chaotic. In other words, it is hard to forecast the future trend of such economical data on the basis of chaotic theory. In this paper, time-series data are divided into wave components using wavelet transform. It is shown that some divided components of time-series data show much more chaotic in the sense of correlation dimension than the original time-series data. The highly chaotic nature of the divided component enables us to precisely forecast the value or the movement of the time-series data in near future. The up and down movement of TOPICS value is shown so highly predicted by this method as 70%.

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공학적 응용을 위한 로렌츠 카오스 시스템의 전자회로 해석 (Electronic Circuit Analysis of the Lorentz Chaotic System for Engineering Applications)

  • 한상백;조문규;송한정
    • 한국산학기술학회논문지
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    • 제13권1호
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    • pp.311-316
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    • 2012
  • 본 논문에서는 공학적 응용을 위한 로렌츠 카오스 시스템을 연산증폭기, 곱셈기 등을 이용하여 전자회로로 설계하였다. 시간파형, 위상특성 등 여러 가지 카오스 동적특성 등을 PSPICE 모의실험을 통하여 파악하였다. 저항값의 변화를 통하여 카오스 특성을 얻기 위한 최적화 된 회로 파라미터를 구하였으며, 각 저항값의 변화에 따른 시간파형 특성 및 위상 특성을 구하였다.

Chaotic Behavior in Model with a Gaussian Function as External Force

  • Huang, Linyun;Hwang, Suk-Seung;Bae, Youngchul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제16권4호
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    • pp.262-269
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    • 2016
  • In this paper, we propose a novel dynamical love model of Romeo and Juliet, which has an external force with a fuzzy membership function. The external force used in the model has the characteristics of a Gaussian function. The chaotic behavior in the model is demonstrated using time series and phase portraits.

CdS 셀을 이용한 카오스 발진기 회로 연구 (A Study on a Chaotic Oscillator Circuit with CdS Cell)

  • 박민서;정동호;정경택
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 하계종합학술대회 논문집(5)
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    • pp.73-76
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    • 2000
  • We study the Chua oscillator circuit by considering a negative resistor as a characteristic parameter which controlled by the CdS(Cadmium Sulphide) cell. This is a new way to observe several chaotic phenomena with the same initial condition continuously. Since we can control the internal resistance of the CdS cell by an additional circuit, our autonomous chaotic oscillator circuit makes it possible to measure the voltage value continuously and automatically.

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