• Title/Summary/Keyword: Chaos theory

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Synchronization of Chaos Circuit (카오스 회로 동기화)

  • Bae, Young-Chul
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2404-2406
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    • 2000
  • Chua's circuit is a simple electronic network which exhibits a variety of bifurcation and attractors. The circuit consists of two capacitors, an inductor, a linear resistor, and a nonlinear resistor. In this paper, a transmitter and a receiver using two identical Chua's circuits are proposed and synchronizations of a T or ${\pi}$ type power line are investigated. Since the synchronization of the power line system is impossible by coupled synchronization, theory having both the drive-response and the coupled synchronization is proposed. As a result, the chaos synchronization has delay characteristics in the power line transmission system caused by the line parameters L and C

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Extraction of Speaker Recognition Parameter Using Chaos Dimension (카오스차원에 의한 화자식별 파라미터 추출)

  • Yoo, Byong-Wook;Kim, Chang-Seok
    • Speech Sciences
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    • v.1
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    • pp.285-293
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    • 1997
  • This paper was constructed to investigate strange attractor in considering speech which is regarded as chaos in that the random signal appears in the deterministic raising system. This paper searches for the delay time from AR model power spectrum for constructing fit attractor for speech signal. As a result of applying Taken's embedding theory to the delay time, an exact correlation dimension solution is obtained. As a result of this consideration of speech, it is found that it has more speaker recognition characteristic parameter, and gains a large speaker discrimination recognition rate.

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Analysis of Flow Regimes by Using Chaos Parameters in Gas-Solid Fluidized Beds (기체-고체 유동층에서 Chaos 파라메타에 의한 흐름영역의 해석)

  • Song, Pyung-Seob;Choi, Wang-Kye;Jung, Chong-Hun;Oh, Won-Zin;Kang, Suk-Hwan;Son, Sung-Mo;Kang, Yong
    • Applied Chemistry for Engineering
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    • v.17 no.1
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    • pp.93-99
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    • 2006
  • Methods to distinguish flow regimes in gas-solid fluidized bed have been investigated by adopting the concept of chaos theory. Pressure fluctuations have been chosen as a state variable for the analysis of the system. Pressure fluctuations obtained from differential pressure transducer have been investigated using the chaos analysis (Correlation dimension and Kolmogorov entropy) as well as the average and standard deviation. As a result, fluidization regimes in gas-solid fluidized bed can be distinguished by statistics methods as the average and standard deviation. Also, Correlation dimension and Kolmogorov entropy could be used to classify the fluidization regimes.

Adaptive Fuzzy Bilinear Synchronization Control Design for Uncertain $L\ddot{u}$ Chaos System (불확실한 $L\ddot{u}$ 카오스 시스템을 위한 적응 퍼지 Bilinear 동기화 제어 설계)

  • Baek, Jae-Ho;Lee, Hee-Jin;Park, Mig-Non
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.47 no.3
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    • pp.59-66
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    • 2010
  • This paper is proposed an adaptive fuzzy bilinear synchronization design for uncertain $L\ddot{u}$ chaos system. It is assumed that the $L\ddot{u}$ chaos system has unknown parameters. First, The $L\ddot{u}$ chaos system can be reconstructed via TS fuzzy bilinear modeling. We design an adaptive fuzzy bilinear synchronization control scheme based on TS fuzzy bilinear $L\ddot{u}$ chaos system with uncertain parameters. Lyapunov theory is employed to guarantee the stability of error dynamic system between TS fuzzy bilinear $L\ddot{u}$ chaos system and the proposed slave system and to derive the adaptive laws for estimating unknown parameters. Simulation results is given to demonstrate the validity of our proposed synchronization scheme.

Mathematics and Arts of Renaissance on the Chaotic Perspective (카오스의 관점에서 본 르네상스의 수학과 미술)

  • Kye Young-Hee;Oh Jin-Kyoug
    • Journal for History of Mathematics
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    • v.19 no.2
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    • pp.59-76
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    • 2006
  • This research focuses on the relationship between mathematics and visual art from a perspective of chaos theory which emerged under the influence of post-modernism. Culture and history, which transform dynamically with the passing of time, are models of complexity. Especially, when the three periods of Medieval, Renaissance, and 17-18 Centuries are observed, the Renaissance period is phase transition phenomenon era between Medieval and 17-18 Centuries. The transition stage between the late Medieval times and the Renaissance; and the stage between the Renaissance and the Modern times are also phase transitions. These phenomena closely resemble similarity in Fractal theory, which includes the whole in a partial structure. Phase transition must be preceded by fluctuation. In addition to the pioneers' prominent act of creation in the fields of mathematics and visual an serving as drive behind change, other socio-cultural factors also served as motivations, influencing the transformation of the society through interdependency. In particular, this research focuses on the fact that scientific minds of artists in the Renaissance stimulated the birth of Perspective Geometry.

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Improving the Diffusion of the Stream Cipher Salsa20 by Employing a Chaotic Logistic Map

  • Almazrooie, Mishal;Samsudin, Azman;Singh, Manmeet Mahinderjit
    • Journal of Information Processing Systems
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    • v.11 no.2
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    • pp.310-324
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    • 2015
  • The stream cipher Salsa20 and its reduced versions are among the fastest stream ciphers available today. However, Salsa20/7 is broken and Salsa20/12 is not as safe as before. Therefore, Salsa20 must completely perform all of the four rounds of encryption to achieve a good diffusion in order to resist the known attacks. In this paper, a new variant of Salsa20 that uses the chaos theory and that can achieve diffusion faster than the original Salsa20 is presented. The method has been tested and benchmarked with the original Salsa20 with a series of tests. Most of the tests show that the proposed chaotic Salsa of two rounds is faster than the original four rounds of Salsa20/4, but it offers the same diffusion level.

An Empirical Study on Verification and Prediction of Non-Linear Dynamic Characteristics of Stock Market Using Chaos Theory (혼돈기법을 이용한 주가의 비선형 결정론적 특성 검정 및 예측)

  • 김성근;윤용식
    • The Journal of Information Technology and Database
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    • v.6 no.1
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    • pp.73-88
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    • 1999
  • There have been a series of debates to determine whether it would be possible to forecast dynamic systems such as stock markets. Recently the introduction of chaos theory has allowed many researchers to bring back this issue. Their main concern was whether the behavior of stock markets is chaotic or not. These studies, however, present divergent opinions on this question, depending upon the method applied and the data used. And the issue of predictability based on the nonlinear, chaotic nature was not dealt extensively. This paper is to test the nonlinear nature of the Korea stock market and accordingly attempts to predict its behavior. The result indicates that our stock market represents a chaotic behavior. We also found out based on our simulation that executing buy/sell transactions based upon forecasts which were derived using the local approximation method outperforms the decision of holding without a buy/sell transaction.

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A Study on the Roles of Shape Properties in Evaluation of Aesthetics values on Shapes (형태속성이 미학 특성 인지 과정에 미치는 영향에 관한 연구)

  • Cha Myung-Yeol
    • Korean Institute of Interior Design Journal
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    • v.14 no.2 s.49
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    • pp.197-205
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    • 2005
  • In estimating designed architectural buildings, many factors in various design domains such as function, structure, form, environment may be considered and then a building design might be selected or modified as final design from many possible design results. This paper proposed a method to obtain complexity values from two dimensional drawings which are floor plans or elevations. The Complexity values could be turned into esthetic values. The method has been developed based on information theory, shape pattern representation and cognitive theory. Results of measuring complexity value can make the computer evaluate and select final results produced from automatic design processes by the computer That is to say, aesthetic values based on order and chaos can be measured using complexity values and then some results having superior values can be selected as final result. Also some cognitive processes as perception of two dimensional drawings are discussed using shape representations. Aesthetic values could be varied in terms of shape properties such as size, individualities and knowledge as well as order and chaos.

Application of chaos theory to simulation output analysis

  • Oh, Hyung-Sool;Lee, Young-Hae
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1994.04a
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    • pp.437-450
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    • 1994
  • The problem of testing for a change in the parameter of a stochastic process is particularly important in simulation studies. In studies of the steady state characteristics of a simulation model, it is important to identify initialization bias and to evaluate efforts to control this problem. A simulation output have the characteristics of chaotic behavior because of sensitive dependence on initial conditions. For that reason, we will apply Lyapunov exponent for diagnosis of chaotic motion to simulation output analysis. This paper proposes two methods for diagnosis of steady state in simulation output. In order to evaluate the performance and effectiveness of these methods using chaos theory, M/M/I(.inf.) queueing model is used for testing point estimator, average bias.

Chaos Synchronization of Chua's Circuit with Transmission Line (전송선로를 가진 Chua 회로에서의 카오스 동기화)

  • Ko, Jae-Ho;Bae, Young-Chul;Yim, Hwa-Young
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.633-635
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    • 1997
  • In this paper, a transmitter and a receiver using two identical Chua's circuits are proposed and a wire synchronizations are investigated. As several problems have been found in both the drive-response synchronization and the coupled synchronization in the previous researches, a new drive-coupled synchronization theory is proposed that can be applicable to wire communication. Since the synchronization of the wire transmission system is impossible by coupled synchronization, theory having both the drive-response and the coupled synchronization is proposed. As a result, the chaos synchronization has delay characteristics in the wire transmission system caused by the line parameters L and C.

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