• Title/Summary/Keyword: Chaotic system

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Chaotic Response of a Nonlinear Vehicle Model and Elimination of the Chaos

  • Lai, Edmund;Park, Chan-Gook
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.106.6-106
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    • 2001
  • In this paper, a four-degree-of-freedom non-linear model is developed to study the dynamic response of vehicle that is caused by the disturbance from the road. The chaotic vibration of the model is investigated with numerical simulation. The model displays complicated dynamic responses including harmonic motions and chaos. It is found that changing of the damping coefficients of the system can eliminate the chaotic response.

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Filtering Techniques for Chaotic Signals

  • Lee, Chung-Yong
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.3E
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    • pp.45-59
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    • 1996
  • Generalized iterative methods for reducing noise in contaminated chaotic signals are proposed. These methods minimize a cost function composed of two parts : one containing information that represents how close enhanced signals are to the observed signal and another composed of constraints that fit the dynamics of the system. The convergence conditions and the error systems of the proposed are investigated. As one aspect of noise reduction, the suppression or cancellation of a chaotic interference signal is discussed.

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Synchronization of Dynamical Happiness Model

  • Bae, Youngchul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.14 no.2
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    • pp.91-97
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    • 2014
  • Chaotic dynamics is an active research area in fields such as biology, physics, sociology, psychology, physiology, and engineering. Interest in chaos is also expanding to the social sciences, such as politics, economics, and societal events prediction. Most people pursue happiness, both spiritual and physical in many cases. However, happiness is not easy to define, because people differ in how they perceive it. Happiness can exist in mind and body. Therefore, we need to be happy in both simultaneously to achieve optimal happiness. To do this, we need to synchronize mind and body. In this paper, we propose a chaotic synchronization method in a mathematical model of happiness organized by a second-order ordinary differential equation with external force. This proposed mathematical happiness equation is similar to Duffing's equation, because it is derived from that equation. We introduce synchronization method from our mathematical happiness model by using the derived Duffing equation. To achieve chaotic synchronization between the human mind and body, we apply an idea of mind/body unity originating in Oriental philosophy. Of many chaotic synchronization methods, we use only coupled synchronization, because this method is closest to representing mind/body unity. Typically, coupled synchronization can be applied only to non-autonomous systems, such as a modified Duffing system. We represent the result of synchronization using a differential time series mind/body model.

Development of a Barrier Embedded Chaotic Micromixer (배리어가 포함된 카오스 마이크로 믹서의 개발)

  • 김동성;이석우;권태헌;이승섭
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.1
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    • pp.63-69
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    • 2004
  • It is of great interest to enhance mixing performance in a microchannel in which the flow is usually characterized as a low Reynolds number (Re) so that good mixing is quite difficult to be achieved in this laminar flow regime. In this regard, we present a new chaotic passive micromixer, named Barrier Embedded Micromixer (BEM), of which the mixing mechanism is based on chaotic flows. In BEM, chaotic flow is induced by periodic perturbation of the velocity field due to periodically inserted barriers along the channel wall while a helical type of flow is obtained by slanted grooves on the bottom surface of the channel in the pressure driven flow. To experimentally compare the mixing performance, a T-microchannel and a microchannel with only slanted grooves were also fabricated. All microchannels were made of PDMS (Polydimethylsiloxane) from SU-8 masters that were fabricated by conventional photolithography. Mixing performance was experimentally characterized with respect to an average mixing intensity by means of color change of phenolphthalein as pH indicator. It was found that mixing efficiency decreases as Re increases for all three micromixers. Experimental results obviously indicate that BEM has better mixing performance than the other two. Chaotic mixing mechanism, suggested in this study, can be easily applied to integrated microfluidic systems , such as Micro-Total-Analysis-System, Lab-on-a-chip and so on.

Wavelet-based Digital Watermarking with Chaotic Sequences (카오스 시퀀스를 이용한 웨이브릿-기반 디지털 워터마크)

  • 김유신;김민철;원치선;이재진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.1B
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    • pp.99-104
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    • 2000
  • In this paper, as a digital watermark we propose to use a chaotic sequence instead of the conventional Gaussian sequence. It is relatively easy to generate the chaotic sequence and is very sensitive to the change of initial value. The chaotic sequence adopted in this paper is a modified version of logistic map to give the sequence distribution of Chebyshev map. In the experiments, we applied the Gaussian sequence and chaotic sequence to wavelet coefficients of images to compare the similarity distribution. The results show that, as id the DCT-based watermarking system, the chaotic sequence is robust for various signal processing attacks, Moreover, the similarity variance is smaller than the Gaussian sequence for iterative experiments. It also shows a better performance for compression errors than the Gaussian sequence.

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The Types of Family System and Psychological Distance in Family Perceived by Adolescent Child (청소년기 자녀가 지각한 가족체계유형과 가족내 심리적 거리)

  • 최윤실
    • Journal of Families and Better Life
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    • v.11 no.1
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    • pp.159-175
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    • 1993
  • The purpose of this study was to find out the psychological distance through semantic app-roach perceived by adolescent child in the subtypes of 'Extrem Family' dysfunctional families by classification of Olson and his associates ' Circrumplex Model. The subjects of this research were 1072 abolescents living in Seoul. Korea The survey methods were questionnaires including FACES II and The Psychological Distance Scale. Data were analyzed by means of the statistics of frequency percentage arithematic mean standard devia-tion crosstabs and one way-anova. The major findings are as follows: 1) The levels of family cohesion family adaptibility and the psychologival distances with father mother and siblings perceived by adolescent were high. 2) The most of subject's families belonged to 'Balanced Family' in the types of family system ' Extreme Family' type showed the lowest frequency and the main subtypes of it that had the highest frequency were 'Enmeshed Chaotic Family' ' Disengaged Rigid Family' 3) While adolescents of 'Enmeshed Chaotic Family' perceived most closely with other family members. those of 'Disengated Rigid Family' most distantly totally and in evaluation potency and activity three subfactors in psychological distance. 4) There were differences of unit points in subfactors of psychological distances with other family members perceived by adolescents according to the types of family system. While the points of 'Enmeshed Chaotic Family' were the highest those of 'Disengaged Rigid Family' were the lowest. 5) While 'Enmeshed Chaotic Family' were located most closely 'Disengaged Rigid Family' were located most distantly in the mutual distances and direct distances among family concepts on semantic space.

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An Optimized PI Controller Design for Three Phase PFC Converters Based on Multi-Objective Chaotic Particle Swarm Optimization

  • Guo, Xin;Ren, Hai-Peng;Liu, Ding
    • Journal of Power Electronics
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    • v.16 no.2
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    • pp.610-620
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    • 2016
  • The compound active clamp zero voltage soft switching (CACZVS) three-phase power factor correction (PFC) converter has many advantages, such as high efficiency, high power factor, bi-directional energy flow, and soft switching of all the switches. Triple closed-loop PI controllers are used for the three-phase power factor correction converter. The control objectives of the converter include a fast transient response, high accuracy, and unity power factor. There are six parameters of the controllers that need to be tuned in order to obtain multi-objective optimization. However, six of the parameters are mutually dependent for the objectives. This is beyond the scope of the traditional experience based PI parameters tuning method. In this paper, an improved chaotic particle swarm optimization (CPSO) method has been proposed to optimize the controller parameters. In the proposed method, multi-dimensional chaotic sequences generated by spatiotemporal chaos map are used as initial particles to get a better initial distribution and to avoid local minimums. Pareto optimal solutions are also used to avoid the weight selection difficulty of the multi-objectives. Simulation and experiment results show the effectiveness and superiority of the proposed method.

Chaotic dynamics of the multiplier based Lorenz circuit (곱셈기 기반 로렌츠 회로의 카오스 다이내믹스)

  • Ji, Sung-hyun;Song, Han-Jung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.26 no.4
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    • pp.273-278
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    • 2016
  • In this paper, chaotic circuit of the Lorentz system using multipliers, operational amplifiers, capacitor, fixed resistor and variable resistor for control has been designed in a electronic circuit. Through PSPICE program, electrical characteristics such as time waveforms, frequency spectra and phase attractors analyzed. And in the special area ($10{\sim}100k{\Omega}$) of the $500k{\Omega}$ control variable resistor, the circuit showed chaotic dynamics. Also, we implemented the circuit in a electronic hardware system with discrete elements. Measured results of the circuit coincided with simulated data.

Chaotic System Control Considering Edge of Chaos Using Neural Network

  • Obayashi, Masanao;Umesako, Kosuke;Nakayama, Daisuke
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.93.1-93
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    • 2002
  • In this paper, an efficient robust control method for chaotic system introducing the concept, the edge of chaos (:boundary status between chaos and non-chaos), is proposed. To realize this concept, we introduce an extended performance index which consists of two parts. One is for achievement of the system's objects, another is for keeping the system edge of chaos. Parameters of the neural network controller are adjusted to minimize the value of the extended performance index and achieve the above two objects using Random...

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Development of an Injection Molded Disposable Chaotic Micromixer: Serpentine Laminating Micromixer (II) - Fabrication and Mixing Experiment - (사출 성형된 일회용 카오스 마이크로 믹서의 개발: 나선형 라미네이션 마이크로 믹서 (II) - 제작 및 혼합 실험 -)

  • Kim Dong Sung;Lee Se Hwan;Kwon Tai Hun;Ahn Chong H.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.10 s.241
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    • pp.1298-1306
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    • 2005
  • In this paper, Part II, we realized the Serpentine Laminating Micromirer (SLM) which was proposed in the accompanying paper, Part I, by means of the injection molding process in mass production. In the SLM, the higher level of chaotic mixing can be achieved by combining two general chaotic mixing mechanisms of splitting/recombination and chaotic advection by the successive arrangement of 'F'-shape mixing units in two layers. Mold inserts for the injection molding process of the SLM were fabricated by SU-8 photolithography and nickel electroplating. The SLM was realized by injection molding of COC (cyclic olefin copolymer) with the fabricated mold inserts and thermal bonding of two injection molded COC substrates. To compare the mixing performance, a T-type micromixer was also fabricated. Mixing performances of micromixers were experimentally characterized in terms of an average mixing color intensity of a pH indicator, phenolphthalein. Experimental results show that the SLM has much better mixing performance than the I-type micromixer and chaotic mixing was successfully achieved from the SLM over the wide range of Reynolds number (Re). The chaotic micromixer, SLM proposed in this study, could be easily integrated in Micro-Total-Analysis- System , Lab-on-a-Chip and so on.