• Title/Summary/Keyword: return map

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Controlling chaos of Lorenz Equation by Using Return Map (되돌이 본뜨기를 이용한 Lorenz식의 혼돈제어)

  • Kim, Chil-Min;Jo, Chang-Ho;Park, Jong-Dae
    • The Journal of Natural Sciences
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    • v.7
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    • pp.5-9
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    • 1995
  • We have controlled the chaotic output of Lorenz equation by using a return map. By applying small perturbations, the chaotic temporal behaviors and phase diagrams have been stabilized to period-1T, -2T, -3T which are unstable fixed points respectively as the same behaviors as the OGY method.

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A study on the analysis of nonlinear characteristics of ECG. (심전도에서의 비선형적 특성 분석에 관한 연구.)

  • Lee, Jong-Min;Park, Kwang-Suk
    • Proceedings of the KOSOMBE Conference
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    • v.1993 no.11
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    • pp.163-166
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    • 1993
  • It has been shown that some of physiological systems have nonlinear dynamics. The evidences of these nonlinear behaviors make us analyze physiological systems in the new viewpoint. And, nonlinear dynamics can be represented by chaotic behaviors, which is studied by several methods - correlation dimension, return map, power spectrum analysis, etc. This study is on the analysis of nonlinear characteristics of ECG. Data have been acquired from the 20 children (10 - 13 years old). and 30 students (20 -24 years old). We have calculated parameters HR, PR, VAT, TD, TRD from data. and estimated correlation dimension, return map, power spectrum. Results show the nonlinear characteristics of ECG.

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A Study on the Anlaysis of Nonlinear Characteristics of ECG. (심전도의 비선형적 특성 분석에 관한 연구)

  • 이종민;박광석
    • Journal of Biomedical Engineering Research
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    • v.15 no.2
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    • pp.151-158
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    • 1994
  • It has been shown that many of physiological systems have nonlinear dynamics. The evidences of these nonlinear behaviors make us analyze physiological systems in the new viewpoint. And, some of these nonlinear dynamics can be represented by chaotic behaviors, which is studied by several methods-correlation dimension, return map, power spectrum analysis, etc. This study is on the analysis of nonlinear characteristics of ECG. After data have been acquired from 20 children (10-13 years old), and 30 students (20-24 years old). We have calculated parameters HR, PR, VAT, TD, TRD, TPD from data, and estimated correlation dimension, return map, power spectrum, time series. Results show the nonlinear and chaotic characteristics of ECG.

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Improvement of the Steering Feel of an Electric Power Steering System by Torque Map Modification

  • Lee Man Hyung;Ha Seung Ki;Choi Ju Yong;Yoon Kang Sup
    • Journal of Mechanical Science and Technology
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    • v.19 no.3
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    • pp.792-801
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    • 2005
  • This paper discusses a dc motor equipped electric power steering (EPS) system and demonstrates its advantages over a typical hydraulic power steering (HPS) system. The tire-road interaction torque at the steering tires is calculated using the 2 d.o.f. bicycle model, in other words by using a single-track model, which was verified with the J-turn test of a real vehicle. Because the detail parameters of a steering system are not easily acquired, a simple system is modeled here. In previous EPS systems, the assisting torque for the measured driving torque is developed as a boost curve similar to that of the HPS system. To improve steering stiffness and return-ability of the steering system, a third-order polynomial as a torque map is introduced and modified within the preferred driving torques researched by Bertollini. Using the torque map modification sufficiently improves the EPS system.

STABILITY ANALYSIS OF BURSTING MODELS

  • Lee, Eui-Woo
    • Journal of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.827-845
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    • 2005
  • In this paper, we present a general method for the stability analysis of some bursting models. Our method is geometric in the sense that we consider a flow-defined return map defined on a section and determine when the map is a contraction. We find that there are three different stability types in the codimension-1 planar bursters.

BRATTELI DIAGRAM ISOMORPHIC TO CHACON HOMEOMORPHISM

  • Park, Seung-Seol
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.519-536
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    • 2000
  • We construct a stationary, properly ordered Bratteli diagram B=(V,E,$\geq$) so that its Vershik map is isomorphic to Chacon's homeomorphism. It is the simplest stationary, properly ordered Bratteli diagram isomorphic to (Xc, Tc). We also find a primitive and proper substitution of Chacon's transformation.

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A possible application of the PD detection technique using electro-optic Pockels cell with nonlinear characteristic analysis on the PD signals (포켈스 소자를 이용한 PD 신호의 검출 및 비선형적 해석에 관한 연구)

  • Lim, Y.S.;Kang, W.J.;Chang, Y.M.;Koo, J.Y.
    • Proceedings of the KIEE Conference
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    • 2000.07c
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    • pp.1850-1852
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    • 2000
  • In this paper, new Partial Discharge (PD) detection technique using Pockels cell was proposed and considerable apparent chaotic characteristics were discussed. For this purpose, PD was generated from needle-plane electrode in air and detected by optical measuring system using Pockels cell, based on Mach-Zehnder interferometer, consisting of He-Ne laser, single mode optical fiber, 50/50 beam splitter and photo detector. A qualitative analysis was carried out by drawing Return map for the normalized time series of the detected PD signals. The results are as follows:(a) Fixed points, between 0.7 and 1.0, are appeared clearly in the right upper area of the return map as the increase in the number of obtained data.(b) Considerable periodicity have been remarked even though exact period and length can not be determined.(c) The self-similarity can be also observed inasmuch as the late paths do not follow the previous ones. Accordingly, exact quantitative analysis such as embedding dimension, fractal dimension, and Lyapunov exponents should be carried out for deducing the quantitative properties regarding PD phenomena.

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Realization of a Automatic Grading System for Driver's License Test (자동차 운전면허 시험을 위한 자동 채점 시스템 구현)

  • Kim, Chul Woo;Lee, Dong Hahk;Yang, Jae Soo
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.16 no.5
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    • pp.109-120
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    • 2017
  • It is important to estimate objectively in the driving test. Especially, the driving test is examined by totally driving ability, rule observation and situational judgement. For this, a grading automation system for driving test was presented by using GPS, sensor data and equipment operation informations. This system is composed of vehicle mounted module, automatic grading terminal, data controller, data storage and processing server. The vehicle mounted module gathters sensor data in the car. The terminal performs automatic grading using the received sensor data according the driving test criterion. To overcome the misposition of vehicle in the map due to GPS error, we proposed the automatic grading system by map matching method, path deviation and return algorithm. In the experimental results, it was possible to grade automatically, display the right position of the car, and return to the right path under 10 seconds when the vehicle was out of the shadow region of the GPS. This system can be also applied to the driving education.

Compensation Characteristics Depending on Extinction Ratio of RZ Pulse in Dispersion-managed Link Combined with MSSI (MSSI와 결합된 분산 제어 링크에서 RZ 펄스의 소광비에 따른 보상 특성)

  • Seong-Real Lee
    • Journal of Advanced Navigation Technology
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    • v.28 no.1
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    • pp.123-128
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    • 2024
  • When mid-span spectral inversion (MSSI), which inverts the propagated wave into phase-conjugated wave in the middle of the entire transmission distance, is combined with dispersion-managed link, it is very effective in compensating for the wavelength division multiplexed (WDM) signal distortion due to chromatic dispersion and nonlinear effects. In this MSSI combined dispersion-managed link, the shape of the dispersion map, channel data rate, channel wavelength and wavelength spacing, etc. affect the compensation and, consequently, determine the transmission distance and capacity of the WDM signal. In this paper, the compensation according to the extinction ratio of the return-to-zero (RZ) pulse that constitutes the WDM signal in the MSSI combined distributed control link was numerically analyzed. As a result of the simulation, it was conformed that the extinction ratio to obtain the best compensation should be determined depending on the shape of the dispersion map and the size of the residual dispersion per span, which determines the specific shape of the dispersion map. These results show a significant difference from the results in a general optical transmission system, where as the extinction ratio increases, the power difference between the '1' and '0' signals increases, thereby improving reception performance.

A Portfolio Model for National IT R&D Strategy Project Selection Methods

  • Ryu, Dong-Hyun;Lee, Woo-Jin
    • Journal of information and communication convergence engineering
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    • v.9 no.5
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    • pp.491-499
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    • 2011
  • In this paper, we offer a new strategic portfolio model for national IT R&D project selection in Korea. A risk and return (R-R) portfolio model was developed using an objectively quantified index on the two axes of risk and return, in order to select a strategic project and allocate resources in compliance with a national IT R&D strategy. We strategize using the R-R portfolio model to solve the non-strategy and subjectivity problems of the existing national R&D project selection model. We also use the quantified evaluation index of the IT technology road map (TRM) and the technical level reports (TLR) for the subjectivity of project selection, and try to discover the weights using the analytic hierarchy process (AHP). In addition, we intend to maximize the chance for a successful national IT R&D project, by selecting a strategic portfolio project and balancing the allocation of resources effectively and objectively.