• Title/Summary/Keyword: Chaos System

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Implementation of Chaotic State Machine using Deterministic Chaos Function

  • Park, Kwang-Hyeon;Hwang, Jong-Sun;Chung, Chong-Eun
    • Journal of Electrical Engineering and information Science
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    • v.3 no.2
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    • pp.145-150
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    • 1998
  • For practical application of the concept of chaos, we propose a chaotic state machine as a sequential system. Chaotic state machine which is suggested and implemented in this paper has chaotic motions relying on the dynamics only through the deterministic chaos function. Also, we present and verify that the properties of chaotic state machine is equal to the characteristics of chaos.

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A Study on the Condition Monitoring for GIS Using SVD in an Attractor of Chaos Theory

  • J.S. Kang;Kim, C.H.;R.K. Aggarwal
    • KIEE International Transactions on Power Engineering
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    • v.4A no.1
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    • pp.33-41
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    • 2004
  • Knowledge of partial discharge (PD) is important to accurately diagnose and predict the condition of insulation. The PD phenomenon is highly complex and seems to be random in its occurrence. This paper indicates the possible use of chaos theory for the recognition and distinction concerning PD signals. Chaos refers to a state where the predictive abilities of a systems future are lost and the system is rendered aperiodic. The analysis of PD using deterministic chaos comprises of the study of the basic system dynamics of the PD phenomenon. This involves the construction of the PD attractor in state space. The simulation results show that the variance of an orthogonal axis in an attractor of chaos theory increases according to the magnitude and the number of PDs. However, it is difficult to clearly identify the characteristics of the PDs. Thus, we calculated the magnitude on an orthogonal axis in an attractor using singular value decomposition (SVD) and principal component analysis (PCA) to extract the numerical characteristics. In this paper, we proposed the condition monitoring method for gas insulated switchgear (GIS) using SVD for efficient calculation of the variance. Thousands of simulations have proven the accuracy and effectiveness of the proposed algorithm.

Chaos Synchronization with Lossless Transmission Line of Chaos Circuit (무손실 전송선로를 가진 카오스 회로에서의 카오스 동기화)

  • 배영철
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 1999.11a
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    • pp.501-504
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    • 1999
  • 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 a synchronizations of lossless transmission line are investigated. Since the synchronization of the transmission system is impossible by coupled synchronization, the drive-response synchronization theory were used. As a result, the chaos synchronization has delay characteristics in the lossless transmission system caused by the line parameters L and C.

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The Synchronization Method for Cooperative Control of Chaotic UAV

  • Bae, Young-Chul
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2005.05a
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    • pp.215-221
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    • 2005
  • In this paper, we propose a method to a synchronization of chaotic UAVs that have unstable limit cycles in a chaos trajectory surface. We assume all obstacles in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle. The proposed methods are assumed that if one of two chaotic UAVs receives the synchronization command, the other UAV also follows the same trajectory during chaotic UAVs search on the arbitrary surface.

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Design and Implementation of a Web Security System using a Chaos Cipher Algorithm (카오스 암호화 알고리즘을 이용한 웹 보안 시스템 설계 및 구현)

  • Lee, Bong-Hwan;Kim, Cheol-Min;Yun, Dong-Won;Chae, Yong-Ung;Kim, Hyeon-Gon
    • The KIPS Transactions:PartC
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    • v.8C no.5
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    • pp.585-596
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    • 2001
  • In this paper, a new stream cipher algorithm based on the chaos theory is proposed and is applied to a Web security system. The Web security system is composed of three parts: certificate authority (CA), Web client, and Web server. The Web client and server system include a secure proxy client (SPC) and a secure management server (SMS), respectively, for data encryption and decryption between them. The certificate is implemented based on X.509 and the RSA public key algorithm is utilized for key creation and distribution to certify both the client and server. Once a connection is established between the client and server, outgoing and incoming data are encrypted and decrypted, respectively, using one of the three cipher algorithms: chaos, SEED, and DES. The proposed chaos algorithm outperforms the other two conventional algorithms in processing time and complexity. Thus, the developed Web security system can be widely used in electronic commerce (EC) and Internet banking.

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A Chaos Control Method by DFC Using State Prediction

  • Miyazaki, Michio;Lee, Sang-Gu;Lee, Seong-Hoon;Akizuki, Kageo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.1
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    • pp.1-6
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    • 2003
  • The Delayed Feedback Control method (DFC) proposed by Pyragas applies an input based on the difference between the current state of the system, which is generating chaos orbits, and the $\tau$-time delayed state, and stabilizes the chaos orbit into a target. In DFC, the information about a position in the state space is unnecessary if the period of the unstable periodic orbit to stabilize is known. There exists the fault that DFC cannot stabilize the unstable periodic orbit when a linearlized system around the periodic point has an odd number property. There is the chaos control method using the prediction of the $\tau$-time future state (PDFC) proposed by Ushio et al. as the method to compensate this fault. Then, we propose a method such as improving the fault of the DFC. Namely, we combine DFC and PDFC with parameter W, which indicates the balance of both methods, not to lose each advantage. Therefore, we stabilize the state into the $\tau$ periodic orbit, and ask for the ranges of Wand gain K using Jury' method, and determine the quasi-optimum pair of (W, K) using a genetic algorithm. Finally, we apply the proposed method to a discrete-time chaotic system, and show the efficiency through some examples of numerical experiments.

Chaos-Theoretical Approach to Media Convergence on Internet Media (인터넷미디어 중심의 매체융합 현상에 대한 카오스 이론적 접근)

  • Lee, Keun-Yong
    • Korean journal of communication and information
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    • v.19
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    • pp.185-211
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    • 2002
  • Media convergence is prevalent all over the world, and is expected to change our lives dramatically in near future. Chaos theory is a new emerging theoretical approach to various social phenomena including organization management, economic system, stock market fluctuation, and so on. This thesis is intended to explain media convergence phenomena centered on internet media using basic concepts of chaos theory such as self-organization, co-evolution, and feedback loop. The implications of this tentative study are that we can apply chaos theory to media convergence as other social or natural phenomena, and that maintaining chaos state of media system is useful for accelerating creativities, and that developing media system as an organic system to cooperate with other relevant systems is helpful for promoting life qualities, and that establishing moral order or root value is desirable for implementing communicatopia.

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Chaos analysis of real estate auction sale price rate time series (부동산 경매 낙찰가율 시계열의 Chaos 분석)

  • Kang, Jun;Kim, Jiwoo;Lee, Hyun Jun;Oh, Kyong Joo
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.2
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    • pp.371-381
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    • 2017
  • There has never been research on Chaos analysis using real estate auction sale price rate in Korea. In this study, three Chaos analysis methodologies - Hurst exponent, correlation dimension, and maximum Lyapunov exponent - in order to capture the nonlinear deterministic dynamic system characteristics. High level of Hurst exponent and the extremely low maximum Lyapunov exponent provide the tendency and the persistence of the data. The empirical results give two meaningful facts. First, monthly time lags of the correlation dimension are coincident with the time period from the approval auction start day to the sale price fixing day. Second, its weekly time lags correspond to the time period from the last day of request for sale price allocation to the sale price fixing day. Then, this study potentially examines the predictability of the real estate auction price rate time series.

Generating Chaos from Discrete TS Fuzzy System

  • Zhong Li;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2001.01a
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    • pp.111-115
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    • 2001
  • In this paper, a simple and systematic control design method is proposed for a discrete-time Takagi-Sugeno(TS) fuzzy system, which employs the parallel distributed compensation(PDC) to determine the structure of a fuzzy controller so as to mark all the Lyaunov exponents of the controlled TS fuzzy system strictly positive. This approach is proven to be mathematically rigorous for anticontrol of chaos for a TS fuzzy system in the sense that any given discrete-time TS fuzzy system can be made chaotic by the designed PDC controller along with the-operation. A numerical example is included to visualize the anticontrol effect.

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Synchronization and Secure Communication in Hyper-chaos system using SC-CNN (SC-CNN을 이용한 하이퍼카오스 동기화와 비밀통신)

  • 배영철;임정석;황인호;김주완
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.5 no.6
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    • pp.1175-1183
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    • 2001
  • In this paper, we use hyper chaos circuit which is made through the phase differences which is generated during the process of weak-coupling of CNN between two and more chaos attractors. Notwithstanding the complexity of the hyper chaos, we could do the synchronization and according to it, Secure communication through this method coo]d be accomplished. On this research, we configurated 2-double scroll and 3-double scroll circuit ,not using Chua circuit, but SC-CNN(State-Controlled CNN) which is more flexible to configure the system.

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