• Title/Summary/Keyword: Quasi-Periodic Motion

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Chaotic Dynamics in Tobacco's Addiction Model

  • Bae, Youngchul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.14 no.4
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    • pp.322-331
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    • 2014
  • Chaotic dynamics is an active area of research in biology, physics, sociology, psychology, physiology, and engineering. This interest in chaos is also expanding to the social scientific fields such as politics, economics, and argument of prediction of societal events. In this paper, we propose a dynamic model for addiction of tobacco. A proposed dynamical model originates from the dynamics of tobacco use, recovery, and relapse. In order to make an addiction model of tobacco, we try to modify and rescale the existing tobacco and Lorenz models. Using these models, we can derive a new tobacco addiction model. Finally, we obtain periodic motion, quasi-periodic motion, quasi-chaotic motion, and chaotic motion from the addiction model of tobacco that we established. We say that periodic motion and quasi-periodic motion are related to the pre-addiction or recovery stage, respectively. Quasi-chaotic and chaotic motion are related to the addiction stage and relapse stage, respectively.

Active noise control algorithm for quasi-periodic noise (준주기적인 소음을 저감하기 위한 능동 소음제어 알고리즘)

  • Lee, Nokhaeng;Park, Youngjin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.710-711
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    • 2014
  • In many cases, periodic noise occurs because most applications include motors, compressors and so on which have reciprocating motion. The noise usually contains tones at the fundamental frequency and at several higher harmonic frequencies in practice. For this type of noise, we developed a frequency-domain active noise control algorithm and determined that it's effective. However, the performance deteriorated for quasi-periodic noise. In this paper, we develop compensated frequency-domain active noise control algorithm for quasi-periodicity. And then, we implement computer simulation and compare the performance.

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Non-periodic motions and fractals of a circular arch under follower forces with small disturbances

  • Fukuchi, Nobuyoshi;Tanaka, Takashi
    • Steel and Composite Structures
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    • v.6 no.2
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    • pp.87-101
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    • 2006
  • The deformation and dynamic behavior mechanism of submerged shell-like lattice structures with membranes are in principle of a non-conservative nature as circulatory system under hydrostatic pressure and disturbance forces of various types, existing in a marine environment. This paper deals with a characteristic analysis on quasi-periodic and chaotic behavior of a circular arch under follower forces with small disturbances. The stability region chart of the disturbed equilibrium in an excitation field was calculated numerically. Then, the periodic and chaotic behaviors of a circular arch were investigated by executing the time histories of motion, power spectrum, phase plane portraits and the Poincare section. According to the results of these studies, the state of a dynamic aspect scenario of a circular arch could be shifted from one of quasi-oscillatory motion to one of chaotic motion. Moreover, the correlation dimension of fractal dynamics was calculated corresponding to stochastic behaviors of a circular arch. This research indicates the possibility of making use of the correlation dimension as a stability index.

The Periodic Moving Average Filter for Removing Motion Artifacts from PPG Signals

  • Lee, Han-Wook;Lee, Ju-Won;Jung, Won-Geun;Lee, Gun-Ki
    • International Journal of Control, Automation, and Systems
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    • v.5 no.6
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    • pp.701-706
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    • 2007
  • The measurement accuracy for heart rate or $SpO_2$ using photoplethysmography (PPG) is influenced by how well the noise from motion artifacts and other sources can be removed. Eliminating the motion artifacts is particularly difficult since its frequency band overlaps that of the basic PPG signal. Therefore, we propose the Periodic Moving Average Filter (PMAF) to remove motion artifacts. The PMAF is based on the quasi-periodicity of the PPG signals. After segmenting the PPG signal on periodic boundaries, we average the $m^{th}$ samples of each period. As a result, we remove the motion artifacts well without the deterioration of the characteristic point.

Vibrations of a taut horizontal cable subjected to axial support excitations considering nonlinear quasi-static responses

  • Jiang Yi;Yingqi Liu
    • Structural Engineering and Mechanics
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    • v.86 no.2
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    • pp.221-235
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    • 2023
  • To calculate the vibrations of a tout cable subjected to axial support excitations, a nonlinear relationship of cable force and the support displacement under static situations are employed to depict the quasi-static vibration of the cable. The dynamic components of quasi-static vibration are inputted as "direct loads" to cause the parametric vibrations on the cable. Both the governing equations of motion and deformation compatibility for parametric vibrations are then derived, which indicates the high coupling of cable parametric force and deformation. Numerical solutions, based on the finite difference method, are put forward for the parametric vibrations, which is validated by the finite element method under periodic axial support excitations. For the quasi-static response, the shorter cables are more sensitive to support excitations than longer ones at small cable force. The quasi-static cable force makes the greatest contribution to the total cable force, but the parametric cable force is responsible for the occurrence of cable loosening at large excitation amplitudes. Moreover, this study also revealed that the traditional approach, assuming a linear relationship between quasi-static cable force and axial support displacement, would result in some great error of the cable parametric responses.

Pathological Vibratory patterns of the Vocal Folds Observed by the High Speed Digital Imaging System

  • Niimi, Seiji
    • Proceedings of the KSLP Conference
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    • 1998.11a
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    • pp.208-209
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    • 1998
  • It is generally known that many cases of pathological rough voice are characterized not by simple random perturbations but by quasi-periodic perturbations in the speech wave. However, there are few studies on the characteristics of perturbations in vocal fold vibrations associated with this type of voice. We have been conducting studies of pathological vocal fold vibration using a high-speed digital image recording system developed by our institute, Compared to the ordinary high-speed-motion picture system, the present system is compact and simple to operate and thus, it suited for pathological data collection. (omitted)

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Removing the Motion Artifacts in the Pulse Signal Detected from the PFS Using the Quasi-periodicity (유사 주기성을 이용한 PFS 펄스 신호의 동잡음 제거)

  • Lee, Han-Wook;Chun, Joong-Chang;Jeong, Won-Geun
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.9 no.6
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    • pp.591-598
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    • 2016
  • For the mobile healthcare environment, it is important to measure the exact biomedical signals in real time, and another key point is to design mobile healthcare devices with low power consumption. In this paper, we propose a method in which the piezo film sensor(PFS), having a low power characteristic, is used to measure the pulse signal synchronized with the heart rate from the radial artery. The critical issue in the bio-signal processing is the existence of the motion artifacts. To dissolve this problem, we have applied the periodic moving average filter using the quasi-periodicity of the pulse signal in addition to the conventional method of the adaptive filtering using the reference signal. Results of simulation and experiments are presented to confirm that the quasi-periodicity of the PFS signal can be used to eliminate completely the motion artifacts which still appears after the adaptive filtering.

Comparative Behavior Analysis in Love Model with Same and Different Time Delay (동일 시간 지연과 서로 다른 시간 지연을 갖는 사랑모델에서의 비교 거동 해석)

  • Huang, Linyun;Ba, Young-Chul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.3
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    • pp.210-216
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    • 2015
  • It is well known that the structure of brain and consciousness of human have a phenomena of complex system. The human emotion have a many kind. The love is one of human emotion, which have been studied in sociology and psychology as a matter of great interested thing. In this paper, we consider a same and different time delay in love equation of Romeo and Juliet. We represent a behavior of love as a time series and phase portrait, and analyze the difference of behaviors between a same and different time delay.

Mathematical Modelling and Behavior Analysis of Addiction of Physical Exercise (운동 중독의 수학적 모델링과 거동 해석)

  • Bae, Young-Chul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.24 no.6
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    • pp.615-621
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    • 2014
  • The Addiction problems have been became a social problem; the social efforts continue to solve these problems. One of those efforts, we need to establish a mathematical modeling for an addictive model to perform analysis of behavior by using this modeling. We need to process the research that can be judged before and after addictive status with result of the behavior analysis. We have to process an observation of transition from before to after addictive status. According to those necessary, this paper proposed the physical exercise model that is composed by novel second order system, which consisted of Spring-Damper-Mass system with equivalence in order to evolve an addictive equation for physical exercise. This paper also is analyzed by the behaviors for those the addictive equation of physical exercise.

Behavior Analysis in Love Model of Romeo and Juliet with Time Delay (시간지연을 갖는 로미오와 줄리엣의 사랑모델에서의 거동해석)

  • Huang, Linyun;Bae, Young-Chul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.2
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    • pp.155-160
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    • 2015
  • We say that human have an animal of emotion. There are various kind in the emotion of human. One of among them, love has been studied in sociology and psychology as a matter of great concern. In this paper, we propose a novel love model with the delay time as response time for love. We also consider it in the Romeo and Juliet of love model to analyze their romantic behaviors. First we consider the Juliet only have a time delay, Romeo only have a time delay, and both Romeo and Juliet have a time delay. We represent their behaviors as time series and phase portrait, and we analyze their difference.