• Title/Summary/Keyword: Chaotic phenomena

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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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    • v.15 no.4
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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.

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

  • Bae, Youngchul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.1 no.1
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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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The study of Controlling chaos for Bonhoeffer-van der Pol oscillation model by small parameter perturbation (Bonhoeffer - van der Pol 오실레이터 모델에서의 미소 파라미터 섭동에 의한 카오스 제어)

  • Bae, Yeong-Chul;Ko, Jae-Ho;Yim, Wha-Yeong
    • Proceedings of the KIEE Conference
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    • 1995.07b
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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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A Study on Implementation and Interconnection of Chaotic Neuron Circuit (카오스 뉴론회의 구현 및 상호연결에 관한 연구)

  • 이익수;여진경;이경훈;여지환;정호선
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.2
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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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Chaotic Behavior Phenomena in Love Model with External Environment considering Colored Noise (외부 환경을 가진 사랑 모델에서 컬러 잡음을 고려한 카오스 거동 현상)

  • Shon, Young-Woo;Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.2
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    • pp.343-348
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    • 2020
  • During 50 years, the chaotic theory has begun to research with concerning in Mathematics and physics, and it has extended the fields to of engineering and social science. Recently, chaotic theory has progressed as a type of fusion research fused with natural science and social science. Such fused research includes problems for addiction, happiness of human, problem happened between family and love affairs between man and woman. In this paper, we consider the external environment based on love model which is one among fusion research, and when we consider colored noise in the external environment, we verify how the chaotic pattern is affected in the love model through time series and phase portrait.

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
    • Journal of the Korean Operations Research and Management Science Society
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    • v.23 no.1
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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
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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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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Electronic Circuit Analysis of the Lorentz Chaotic System for Engineering Applications (공학적 응용을 위한 로렌츠 카오스 시스템의 전자회로 해석)

  • Han, Sang-Baek;Jo, Mun-Kyu;Song, Han-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.1
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    • pp.311-316
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    • 2012
  • In this paper, chaotic circuit of the Lorentz system for engineering applications was implemented using resistor, multipliers, capacitors and operational amplifiers. The implemented Lorentz chaotic system was analysed by PSPICE program. PSPICE simulation results show many kind of chaotic phenomena such time waveforms and phase plots. Meanwhile, according to resistor's variation, we got that Lorentz system show equilibrium state, periodic state and chaotic state.

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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    • v.16 no.4
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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.

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

  • 박민서;정동호;정경택
    • Proceedings of the IEEK Conference
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    • 2000.06e
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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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