• Title/Summary/Keyword: Chaotic map

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Mitigation of the Switching Noise in Three-Phase Induction Motor by the Chaotic Random Carrier PWM using a Bifurcation Tree of the Logistic Map (Logistic Map의 분기트리를 이용한 카오스 랜덤 캐리어 PWM에 의한 3상 유도 전동기의 스위칭 소음 저감)

  • Kim, J.N.;Kim, J.H.;Jung, Y.G.;Kim, Y.C.
    • Proceedings of the KIPE Conference
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    • 2005.07a
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    • pp.766-769
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    • 2005
  • 본 연구에서는 카오스 랜덤 캐리어 PWM에 의한 3상 유도 전동기의 스위칭 소음 저감에 대하여 다루고 있다. 랜덤 수 발생기로서는 종전부터 사용해 온 선형일치발생기(LCG)대신에 Logistic map의 분기트리를 사용하였다. 카오스 랜덤 수 발생은 80C196 마이크로 콘트롤러가 담당하고 있으며, 80C196으로부터 발생된 카오스 랜덤 수와 MAX038에 의하여 삼각파 랜덤 캐리어가 발생되고 있다. 1.5kw급 3상 유도전동기 구동 시스템에 카오스 랜덤 PWM와 종전의 방법을 적용하여 전동기 전압 및 전류 그리고 스위칭 소음의 스펙트럼을 고찰하였다.

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ON BIFURCATION MODES AND FORCED RESPONSES IN COUPLED NONLINEAR OSCILLATORS

  • Pak, Chol-Hui;Shin, Hyeon-Jae
    • Journal of Theoretical and Applied Mechanics
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    • v.1 no.1
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    • pp.29-67
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    • 1995
  • A procedure is formulated, in this paper, to compute the bifurcation modes born by the stability change of normal modes, and to compute the forced responses associated with bifurcation modes in inertially and elastically coupled nonlinear oscillators. It is assumed that a saddle-loop is formed in Poincare map at the stability chage of normal modes. In order to test the validity of procedure, it is applied to one-to-one internal resonant systems in which the solutions are guaranteed within the order of a small perturbation parameter. The procedure is also applied to the exact system in which normal modes are written in exact form and the stability of normal modes can be exactly determined. In this system the stability change of normal modes occurs several times so that various types of bifurcation modes are created. A method is described to identify a fixed point on Poincare map as one of bifurcation modes. The limitations and advantage of proposed procedure are discussed.

Analysis of Noise Influence on a Chaotic Series and Application of Filtering Techniques (카오스 시계열에 대한 잡음영향 분석과 필터링 기법의 적용)

  • Choi, Min Ho;Lee, Eun Tae;Kim, Hung Soo;Kim, Soo Jun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.1B
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    • pp.37-45
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    • 2011
  • We studied noise influence on nonlinear chaotic system by using Logistic data series which is known as a typical nonlinear chaotic system. We regenerated Logistic data series by the method of adding noise according to noise level. And, we performed some analyses such as phase space reconstruction, correlation dimension, BDS statistics, and DVS Algorithms which are known as the methods of nonlinear deterministic or chaotic analysis. If we see the results of analysis, the characteristics of data series are gradually changed from nonlinear chaotic data series to random stochastic data series according to increasing noise level. We applied Low Pass Filter (LPF) and Kalman Filter techniques for the investigation of removing effect of the added noise to data series. Typical nonparametric method cannot distinguish nonlinear random series but the BDS statistic can distinguish the nonlinear randomness of the time series. Therefore this study used the BDS statistic which is well known as nonlinear statistical method for the investigation of randomness of time series for the effect of removing noise of data series. We found that Kalman filter is better method to remove the noise of chaotic data series even for high noise level.

The Communication Security Improvement Technology Using Chaos Modulation and Retrodirective Array Antenna (카오스 변조와 역지향성 안테나를 이용한 통신 보안 향상 기법)

  • Bok, Junyeong;Kim, Gi-Young;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.24 no.4
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    • pp.410-416
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    • 2013
  • In this paper, we propose a chaotic correlation delay shift keying(CDSK) using digital retrodirective array antenna (RDA) for improving security and receive performance. Chaotic signals provide improved security due to non-periodic and non-predictable performance of chaotic signals. However, the receive performance of these chaotic signals is degraded due to self-interference and interference signals. Therefore, this paper, we analyze the receive BER performance of chaos communication system which has digital RDA based on CDSK modulation schemes for improving security without receive performance degradation. Simulation results show that the proposed system can get the same receiving performance compared to BPSK modulation schemes when array elements of RDA are 5.

IoT MQTT Security Protocol Design Using Chaotic Signals (혼돈신호를 이용한 IoT의 MQTT 보안 프로토콜 설계)

  • Yim, Geo-Su
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.6
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    • pp.778-783
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    • 2018
  • With the rapid advancement of information and communication technology and industrial technologies, a hyper-connected society is being realized to connect human beings, all programs and things via the Internet. IoT (Internet of Thing), which connects a thing and another thing, and things and human beings, gathers information to realize the hyper-connected society. MQTT (Message Queuing Telemetry Transport) is a push-technology-based light message transmission protocol that was developed to be optimized to the limited communication environment such as IoT. In pursuing the hyper-connected society, IoT's sensor environment information is now being used as a wide range of information on people's diseases and health management. Thus, security problems of such MQTT include not only the leak of environmental information but also the personal information infringement. To resolve such MQTT security problems, we have designed a new security MQTT communication by applying the initial-value sensitivity and pseudorandomness of the chaotic system to the integrity and confidentiality. The encryption method using our proposed chaotic system offers a simple structure and a small amount of calculation, and it is deemed to be suitable to the limited communication environment such as IoT.

A Encryption Technique of JPEG2000 Image Using 3-Dimensional Chaotic Cat Map (3차원 카오스 캣맵을 이용한 JPEG2000 영상의 암호화 기술)

  • Choi, Hyun-Jun;Kim, Soo-Min;Seo, Young-Ho;Kim, Dong-Wook
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.42 no.5 s.305
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    • pp.173-180
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    • 2005
  • In this paper, we proposed the image hiding method which decreases calculation amount by encrypt partial data using discrete wavelet transform(DWT) and linear scale quantization which were adopted as the main technique for frequency transform in JPEG2000 standard. Also we used the chaotic system and cat map which has smaller calculation amount than other encryption algorithms and then dramatically decreased calculation amount. This method operates encryption process between quantization and entropy coding for preserving compression ratio of images and uses the subband selection method. Also, suggested encryption method to JPEG2000 progressive transmission. The experiments have been performed with the Proposed methods implemented in software for about 500 images. Consequently, we are sure that the proposed is efficient image encryption methods to acquire the high encryption effect with small amount of encryption. It has been shown that there exits a relation of trade-off between the execution time and the effect of the encryption. It means that the proposed methods can be selectively used according to the application areas.

Variable structure control of chaotic systems

  • Choi, Changkyu;Lee, Ju-Jang;Sugisaka, Masanori
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.505-510
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    • 1994
  • To prevent the stable states from the complex dynamics, the global behavior of the overall system must be considered. Thus, indirect adaptive scheme might result in needless responses. Discrete-time variable structure controllers for a well-known logistic map are designed for two deferent sliding hyperplanes. Impulse disturbances are fully rejected by tile virtue of discrete-time variable structure control(DVSC). A numerical example is given to illustrate the effectless of the DVSC.

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Master-Slave Synchronization of Bifurcating Integrate-and-Fire Circuits

  • Shimazaki, Masanao;Torikai, Hiroyki;Saito, Toshimichi
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.794-797
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    • 2002
  • We consider a master-slave pulse-coupled network of bifurcating integrate-and-fire circuits. The network exhibits in-phase chaotic synchronization and various periodic synchronization phenomena. In order to analyze these phenomena precisely, we derive a one-dimensional return map. Also using a simple test circuit, typical phenomena are demonstrated in the laboratory.

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Chaotic Response and Stability Analysis for Multi-input Nonlinear Systems (다주파수 입력을 갖는 비선형 시스템의 안정성 및 Chaos 해석)

  • 김영배
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.1
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    • pp.123-131
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    • 1995
  • 다주파수 입력을 갖는 강한 비선형 시스템의 유사주기 (quasi-periodic) 해를 해석하기 위하여 개선된 고정 점법(FPA:Fixed Point Alogrithm)을 개발하였다. 안정성 및 천이 특성을 판별하기 위하여 사용되어지는 Floquest 지수인 해석적 자코비언을 구하기 위하여 Poincare 맵상에서 이산 적분법을 새로이 고안, 사용하였다. 본 방법의 우수성을 입증하기 위하여 2개의 주파수 입력을 갖는 선형 시스템과 비선형 시스템을 예로 사용하였다. 본 방법을 이용하여 비선형 시스템에서 발생한 복잡한 chaos 현상을 체계적으로 해석하였다.

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Diagnosis of power supply by analysis of chaotic nonlinear dynamics (카오스 비선형 동력학 해석에 의한 수·변전설비의 진단)

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.8 no.1
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    • pp.113-119
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    • 2013
  • In this paper, n order to degrade of diagnosis of power supply by using Poincare map and fractal dimension with temperature measured by infrared camera. we review the characteristic of temperature variation according to pattern variation of power supply in chemical industry complex. As a simulation results we can be realized the characteristic behaviors of nonlinear dynamics in the poincare mal and fractal dimension. In the future verification method requires through additional research.