• Title/Summary/Keyword: Chaotic signals

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A Study on Chaos Control of a Chua' Oscillator Circuit Using a Lyapunov function (리아프노프 함수를 이용한 Chua 오실레이터 회로에서의 카오스 제어)

  • 배영철;고재호;유창환;홍대승;임화영
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.1
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    • pp.113-120
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    • 1999
  • In this paper, chaotic signals of a Chua's oscillator are effectively controlled to low periodic signal(1-periodic signal, 2-periodic signal, etc) or equilibrium point using the linear state feedback technique. The proposed linear state feedback technique has characteristics, that any solution of the Chua's oscillator can be a goal of the control(fixed point, periodic orbit, etc). The controller has a very simple structure, which does not require adjusting system parameters.

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Correlation Analysis for Correlation Dimesion of EEG and Cold-heat Score (뇌파의 상관차원과 한열설문지와의 상관분석)

  • Bas, No-Soo;Park, Young-Jae;Oh, Hwan-Sup;Park, Young-Bae
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.11 no.2
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    • pp.116-127
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    • 2007
  • Background and Purpose: Acording to chaos theory, irregular signals of electroencephalogram can interpretated by nonlinear method. Chaotic nonlinear dynamics in EEG can be studied by calculating the correlation dimension. The aim of this study is to analyze EEG by correlation dimension and do Correlation Analysis of correlation dimension and cold-heat score Method: EEG raw data were measured during 15 minutes and choosed 40 seconds. We calculated correlation dimension and used surrogate data method for checking nonlinear data. After then do correlation analysis Result and Conclusion: Correlation dimension of channel 7 and channel 8 are showed significant correlation with cold score.

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Correlation over Nonlinear Analysis of EEG and POMS Factor (뇌파와 POMS(Profile of Mood States)의 상관성 연구)

  • Kim, Dong-Won;Park, Young-Bae;Park, Young-Jae;Heo, Young
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.11 no.2
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    • pp.68-83
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    • 2007
  • Background and Purpose: According to chaos theory, irregular signals of electroencephalogram can interpretated by nonlinear method. Chaotic nonlinear dynamics in EEG can be studied by calculating the correlation dimension. The aim of this study is to analyze EEG by correlation dimension and do Correlation Analysis of correlation dimension and K-POMS factors score. Method: EEG raw data were measured during 15 minutes and choosed 40 seconds. We calculated correlation dimension and used surrogate data method for checking nonlinear data. After then do correlation analysis. Result and Conclusion: Correlation dimension of channel 6, channel 7 and channel 8 are showed significant correlation with vigor factor.

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Encryption Communication Protocol Design Using Unidirectional Synchronization of the Chaos System (혼돈계의 단방향 동기화를 이용한 보안 프로토콜 설계)

  • Cho, Chang-Ho;Yim, Geo-Su
    • The Journal of the Korea institute of electronic communication sciences
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    • v.9 no.10
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    • pp.1125-1130
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    • 2014
  • The quantity and quality of contents containing information are sharply increasing with the rising network speed. In line with this rapid growth of information volume, a new communication protocol using the chaotic signal that can protect contents in communication is proposed as follows. The chaos system has the characteristic of unpredictability due to the sensitive initial values and the similarity of the signals with noise. We configured two chaos systems $F(X_n,Y_n)$ and $G(A_n,B_n)$ that have such characteristics and designed a data communication method using as encryption channel the same chaos signals generated by synchronizing the chaos system G with the F signals. The proposed method was verified with the encryption and decryption of images. The proposed method is different from the existing encrypted communication methods and is expected to lay the foundation for future studies in related areas.is an example of ABSTRACT format.

A Study on Effective Digital Watermark Generation Method to Overcome Capacity Limit (저장 한계를 극복한 효율적인 디지털 워터마크 생성 방법 연구)

  • Kim Hee-Sun;Cho Dae-Jea
    • The Journal of the Korea Contents Association
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    • v.5 no.6
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    • pp.343-350
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    • 2005
  • During the design of a successful digital watermarking systems, Pseudo-Noise(PN) sequences are widely used to modulate information bits into watermark signals. In this method, the number of bits that can be hidden within a small image by means of frequency domain watermarking is limited. In this paper, we show the possibility of introducing chaotic sequences into digital watermarking systems as potential substitutes to commonly used PN-sequences. And we propose a method that transforms the text to chaotic sequence. In our current implementation, we show how the sample text is expressed by an implied unit data(watermark) and the implied unit data is regenerated into the original left. Because we use this implied data as watermark for information hiding, we can insert much more watermark compared with previous method.

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Partial Photoionization Cross Section of Collinear eZe Helium: Numerical Confirmation of Semiclassical Predictions

  • Lee, Min-Ho;Choi, Nark Nyul
    • Journal of the Korean Physical Society
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    • v.73 no.10
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    • pp.1486-1494
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    • 2018
  • Based on the semiclassical theory of chaotic scattering, Tanner et al. [J. Phys. B 40, F157 (2007)] proposed the fluctuation in the partial photoionization cross section of helium below the double-ionization threshold would show the same characteristics as in the total cross section, predicting that the Fourier spectrum of the fluctuation reveals peaks at the classical actions of closed triple collision orbits and the amplitude of the fluctuation decreases algebraically as the energy approaches the double-ionization threshold. In that paper, however, the predictions were not clearly confirmed due to the lack of experimental data with sufficient accuracy. So instead, we calculate the partial photoionization cross sections of collinear eZe helium for the energy range from the single-ionization threshold $I_{20}$ to $I_{32}$ in order to numerically confirm the predictions. Analysis of the fluctuation in the partial cross section shows that the predictions are indeed valid. Our findings mean that the fluctuation in the partial photoionization cross section can be described by classical triple collision orbits in the semiclassical limit. Thus it explains in a natural way the mirroring and mimicking structures observed in cross section signals for different ionization channels.

Measurement of Aerosols and Ice Clouds Using Ellipsometry Lidar (타원편광 라이다 개발 및 이를 이용한 에어로졸과 구름의 특성 측정)

  • Kim, Dukhyeon;Cheong, Hai Du;Volkov, Sergei N.
    • Korean Journal of Optics and Photonics
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    • v.26 no.1
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    • pp.9-16
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    • 2015
  • We have developed ellipsometry lidar and measured aerosol and ice-cloud characteristics. To measure a full normalized backscattering phase matrix (NBSPM) composed of nine elements, we have designed an optical system with three kinds of transmission and three kinds of reception, composed of ${\lambda}/2$ waveplate, ${\lambda}/4$ waveplate and empty optic. To find systematic optical errors, we used clean day middle-altitude (4-6km) lidar signals for which the aerosol's concentration was small and its orientation chaotic. After calibrating our lidar system, we have calculated NBSPM elements scattered from an aerosol and from an ice cloud. In the case of an aerosol, we found that the off-diagonal values $m_{12},{\ldots},m_{34}$ of the NBSPM are smaller than those for a cirrus cloud. Also, the off-diagonal values of the NBSPM from a cirrus cloud depend on atmospheric conditions.

Investigation on Oil-paper Degradation Subjected to Partial Discharge Using Chaos Theory

  • Gao, Jun;Wang, Youyuan;Liao, Ruijin;Wang, Ke;Yuan, Lei;Zhang, Yiyi
    • Journal of Electrical Engineering and Technology
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    • v.9 no.5
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    • pp.1686-1693
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    • 2014
  • In this paper, oil-paper samples composed of transformer windings were used to investigate the insulation degradation process subjected to partial discharge (PD), with artificial defects inside to simulate the PD induced insulation degradation. To determine appropriate test voltages, the breakdown time obtained through a group of accelerated electrical degradation tests under high voltages was firstly fitted by two-parameter Weibull model to acquire the average breakdown time, which was then applied to establish the inverse power law life model to choose advisable test voltages. During the electrical degradation process, PD signals were synchronously detected by an ultra-high frequency (UHF) sensor from inception to breakdown. For PD analysis, the whole degradation process was divided into ten stages, and chaos theory was introduced to analyze the variation of three chaotic parameters with the development of electrical degradation, namely the largest Lyapunov exponent, correlation dimension and Komogorov entropy of PD amplitude time series. It is shown that deterministic chaos of PD is confirmed during the oil-paper degradation process, and the obtained results provide a new effective tool for the diagnosis of degradation of oil-paper insulation subjected to PD.

Correlation over Nonlinear Analysis of EEG and TCI Factor (상관차원에 의한 비선형 뇌파 분석과 기질성격척도(TCI) 요인간의 상관분석)

  • Park, Jin-Sung;Park, Young-Bae;Park, Young-Jae;Huh, Young
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.11 no.2
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    • pp.96-115
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    • 2007
  • Background and Purpose: Electroencephalogram(EEG) is a multi-scaled signal consisting of several components of time series with different origins. Recently, because of the absence of an identified metric which quantifies the complex amount of information, there are many limitations in using such a linear method. According to chaos theory, irregular signals of EEG can also result from low dimensional deterministic chaos. Chaotic nonlinear dynamics in the EEG can be studied by calculating the correlation dimension. The aim of this study is to analyze correlation between the correlation dimension of EEG and psychological Test (TCI). Methods: Before and after moxibustion treatment, EEG raw data were measured by moving windows during 15 minutes. The correlation dimension(D2) was calculated from stabilized 40 seconds in 15 minutes data. 8 channels EEG study on the Fp, F, T, P was carried out in 30 subjects. Results: Correlation analysis of TCI test is calculated with deterministic non-linear data and stochastic non-linear data. 1. Novelty seeking in temperament is positive correlated with D2 of EEG on Fp. 2. reward dependence in temperament is positive correlated with D2 of EEG on T3,T4 and negative correlated with D2 of EEG on P3,P4. 3. self directedness in character is positive correlated with D2 of EEG on F4, P3. 4. Harm avoidance is negative correlated with D2 of EEG on Fp2, T3, P3. Conclusion: These results suggest that nonlinear analysis of EEG can quantify dynamic state of brain abolut psychological Test (TCI).

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A Preliminary Study for Nonlinear Dynamic Analysis of EEG in Patients with Dementia of Alzheimer's Type Using Lyapunov Exponent (리아프노프 지수를 이용한 알쯔하이머형 치매 환자 뇌파의 비선형 역동 분석을 위한 예비연구)

  • Chae, Jeong-Ho;Kim, Dai-Jin;Choi, Sung-Bin;Bahk, Won-Myong;Lee, Chung Tai;Kim, Kwang-Soo;Jeong, Jaeseung;Kim, Soo-Yong
    • Korean Journal of Biological Psychiatry
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    • v.5 no.1
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    • pp.95-101
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    • 1998
  • The changes of electroencephalogram(EEG) in patients with dementia of Alzheimer's type are most commonly studied by analyzing power or magnitude in traditionally defined frequency bands. However because of the absence of an identified metric which quantifies the complex amount of information, there are many limitations in using such a linear method. According to the chaos theory, irregular signals of EEG can be also resulted from low dimensional deterministic chaos. Chaotic nonlinear dynamics in the EEG can be studied by calculating the largest Lyapunov exponent($L_1$). The authors have analyzed EEG epochs from three patients with dementia of Alzheimer's type and three matched control subjects. The largest $L_1$ is calculated from EEG epochs consisting of 16,384 data points per channel in 15 channels. The results showed that patients with dementia of Alzheimer's type had significantly lower $L_1$ than non-demented controls on 8 channels. Topographic analysis showed that the $L_1$ were significantly lower in patients with Alzheimer's disease on all the frontal, temporal, central, and occipital head regions. These results show that brains of patients with dementia of Alzheimer's type have a decreased chaotic quality of electrophysiological behavior. We conclude that the nonlinear analysis such as calculating the $L_1$ can be a promising tool for detecting relative changes in the complexity of brain dynamics.

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