• Title/Summary/Keyword: attractors

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Non-linear dynamics of wetland vegetation induced by groundwater table (지하수위와 연계된 습지 식생의 비선형 동역학)

  • Lee, Okjeong;Kim, Sangdan
    • Journal of Wetlands Research
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    • v.21 no.2
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    • pp.132-139
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    • 2019
  • Bi-directional interaction between vegetation and groundwater table has a great influence on the dynamics of wetland vegetation. In this study, nonlinear dynamics of wetland vegetation affected by groundwater are analyzed. The effect on groundwater is described as a loss term in the governing equation of wetland vegetation and it is explored how the wetland vegetation is likely to converge into two attractors by groundwater table change. From this conceptual approach, the vulnerability to catastrophic shifts in stable state where the current vegetation species are extinct and stabilized by other vegetation species is analyzed in response to groundwater table.

Influence of Noise on Chaotic Time Series (카오스 시계열에 대한 잡음의 영향)

  • Choi, Min-Ho;Lee, Eun-Tae;Kim, Hung-Soo
    • Journal of Korea Water Resources Association
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    • v.42 no.4
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    • pp.355-363
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    • 2009
  • The purpose of this paper is to investigate the influence of noise on chaotic time series. We used two time series of Lorenz system and of Great Salt Lake's volume data which are well known as chaotic systems. This study investigated the attractors, correlation dimensions, and Close Returns Plots and Close Returns Histograms of two time series to investigate the influence of noise as increasing noise level. We performed Chi-square test to the relative frequency of Close Returns Histogram from Close Returns Plot for the investigation of stochastic process of chaotic time series as increasing noise level of time series. As the results, two time series were changed from chaotic to stochastic series as noise level is increased. Finally, we analyzed the effect of noise cancellation by using Simple Moving Average method. The results of applications of Simple Moving Average method to Lorenz and GSL time series showed that we could effectively cancel the noise. Then we could confirm the applicability of Simple Moving Average method to cancel the noise for the hydrologic time series having chaotic characteristics.

The Architectural Characteristics of Piazza Navona, Rome and its Ecological Function and Role in Urban Environments (로마 나보나 광장의 건축적 특성과 도시 생태적 기능 및 역할)

  • Kwon, Gyoung Nam
    • KIEAE Journal
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    • v.16 no.6
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    • pp.83-94
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    • 2016
  • Purpose: A city is regarded as an organic living thing that generates, changes, and fades away in relationship with many components of city. Therefore, a city has its own identity based on its historical trace. Among these elements composing a city, it is a square that makes a city more active and dynamic. Piazza Navona in Rome, Italy has played its role as significant core in the city and has distinctive function from other squares in urban ecological environments. In this study, the distinguishing function and role of Piazza Navona will be defined. Another purpose of study is to figure out what factors of Piazza Navona attracts a lot of diverse people and activities. Method: First, general understanding of function, type, and history of piazza; Second, the historical background of Piazza Navona; Third, site analysis related to surrounding environments; Fourth, architectural characteristic of Piazza Navona in terms of plan and elevation; Fifth, comparing with other representative squares in Rome such as Piazza San Pietro, Piazza del Popolo, and Piazza del Campidoglio in aspects of urban function. Result: Piazza Navona provides both citizen and visitors with an inviting place to embrace all kinds of activities including assembly, annual festival, and daily events. Its functions in the urban environments also involve a tourist attractor as landmark, place for social and cultural interaction, market, and place for meeting and leisure. It is attributed to following factors; historical background as the city center since the first century AD; its location in the center of Rome; enough size and flexibility to accommodate many people and various events; open space enclosed by surrounding buildings; historical baroque structures and sculptures of fountains; synergy effect with commercial and other tourist attractors around Piazza Navona; and comfortable accessibility.

The Proposal of the Fuzzed Lyapunov Dimension at Speech Signal (음성에 대한 퍼지-리아프노프 차원의 제안)

  • In, Joon-Hawn;Yoo, Byong-Wook;Ryu, Seok-Han;Jung, Myong-Jin;Kim, Chang-Seok
    • Journal of the Korean Institute of Telematics and Electronics T
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    • v.36T no.4
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    • pp.30-37
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    • 1999
  • This study suggested the Fuzzy Lyapunov dimension. The Fuzzy Lyapunov dimension is to evaluate the quantitative variation of the attractor. In this paper the speaker recognition is evaluated by the Fuzzy Lyapunov dimension. It has been proved that the suggested Fuzzy Lyapunov dimension is superior in the discrimination characteristics between standard reference pattern attractors, and in reference to the test pattern attractor, it has been verified that it is the speaker recognition parameter which absorbs the pattern variation. In order to evaluate the Fuzzy Lyapunov dimension as speaker recognition parameter, the mistaken recognition according to discrimination error in each of speaker and standard reference pattern was estimated, and the validity of the speaker recognition parameter was experimental. As the result of the speaker recognition experiment, 97.0[%] of recognition ratio was obtained, and it was confirmed that the Fuzzy Lyapunov dimension was fit for the speaker recognition parameter.

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Analysis of Dynamic Instability Characteristic of EP Shell Structures under Sinusoidal Excitations (정현파 하중을 받는 EP(Elliptic Paraboliodal)쉘 구조물의 동적 불안정 특성 분석)

  • Kim, Seung-Deog;Kim, Doo-Ri
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.1
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    • pp.127-134
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    • 2010
  • The dynamic instability for snapping phenomena has been studied by many researchers. Few paper deal with the dynamic bucking under the load with periodic characteristics, and the behavior under periodic excitation is expected the different behavior against STEP excitation. We investigate the fundamental mechanisms of dynamic instability when shallow EP(Elliptic Paraboliodal) shell of two degree of freedom are subjected to sinusoidal excitation with direct snapping and indirect snapping. By using Newmark-$\beta$ method, we can get the nonlinear response, and characteristics of the dynamic instability through the running response spectrum by FFT(fast Fourier Transform) and attractors are compared in the phase plane. Dynamic buckling loads are strongly influenced by the relationships between the natural frequency of structures and the dominant frequency of incident excitations.

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Chaotic Dynamics in EEG Signal Responding to Auditory Stimulus with Various Sound-Cutting Frequencies. (단속 주파수를 변화시킨 청각자극에 반응하는 뇌전위신호의 카오스 분석)

  • Choe, Jeong-Mi;Bae, Byeong-Hun;Kim, Su-Yong
    • Journal of Biomedical Engineering Research
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    • v.15 no.3
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    • pp.237-244
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    • 1994
  • We investigated the qualitive and quantitative properties in EEG signal which responds to auditory stimulus with increaing the sound-cutting frequency from 2 Hz to 20 Hz by 2 Hz step units, by chaotic dynamics. To bigin with, general chaotic properties such as fractal mechanism, 1 If frequency spectrum and positive Lyapunov exponent are discussed in EEG signal. For evoked potential with given auditory stimulus, the route to chaos by bifurcation diagram and the changes in geometrical property of Poincare sections of 2-dimensional psedophase space is observed. For that containing spontaneous potential, seen as the random background signal, the chaotic attractors in 3-dimensional phase space are found containing the same infomation as the above mentioned evoked potential. Finally the chinges of Lyapunov exponent by various sound-cutting frequencies of stimulus and by the various spatial positions (occipital region) in a brain surface to be measured, are illustrated meaningfully.

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Modeling on Ratio-Dependent Three-Trophic Population Dynamics Responding to Environmental Impacts (외부 환경영향에 대한 밀도비 의존 3영양단계의 개체군 동태 모델)

  • Lee, Sang-Hee;Choi, Kyung-Hee;Chon, Tae-Soo
    • Korean Journal of Ecology and Environment
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    • v.37 no.3 s.108
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    • pp.304-312
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    • 2004
  • The transient dynamics of three-trophic populations (prey, predator, and super predator) using ratio-dependent models responding to environmental impacts is analyzed. Environmental factors were divided into two parts: periodic factor (e.g., temperature) and general noise. Periodic factor was addressed as a frequency and bias, while general noise was expressed as a Gaussian distribution. Temperature bias ${\varepsilon}$, temperature frequency ${\Omega}$, and Gaussian noise amplitude ${\`{O}}$ accordingly revealed diverse status of population dynamics in three-trophic food chain, including extinction of species. The model showed stable limit cycles and strange attractors in the long-time behavior depending upon various values of the parameters. The dynamic behavior of the system appeared to be sensitive to changes in environmental input. The parameters of environmental input play an important role in determining extinction time of super predator and predator populations.

Microcontroller based Chaotic Lorenz System for Secure Communication Applications (암호통신 응용을 위한 마이크로 컨트롤러 기반 로렌츠 카오스 시스템)

  • Jayawickrama, Chamindra;Song, Hanjung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.22 no.12
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    • pp.1698-1704
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    • 2018
  • This paper presents a implementation of a chaotic Lorenz system for data secure communication applications. Here we have used PIC18F family-based microcontroller to generate the chaotic signal, and simulated waveform patterns confirm that the chaotic behavior of the microcontroller based discrete time chaotic Lorenz system. There are three R-2R ladder type A/D converters have been implemented for conversion of direct microcontroller digital output into analog waveform, utilizing this specific microcontroller relevant to this experiment work, microcontroller ports B, C and D have been utilized for its time waveform outputs X, Y and Z respectively. XC8 compiler used for the compilation of the program. MATLAB and PROTEUS software platforms are used for simulation. Finally, chaotic time wave forms, 2D chaotic attractors were obtained and secure communication analog waveforms were also verified by experimental measurement.

Dynamic Instability and Multi-step Taylor Series Analysis for Space Truss System under Step Excitation (스텝 하중을 받는 공간 트러스 시스템의 멀티스텝 테일러 급수 해석과 동적 불안정)

  • Lee, Seung-Jae;Shon, Su-Deok
    • Journal of Korean Society of Steel Construction
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    • v.24 no.3
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    • pp.289-299
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    • 2012
  • The goal of this paper is to apply the multi-step Taylor method to a space truss, a non-linear discrete dynamic system, and analyze the non-linear dynamic response and unstable behavior of the structures. The accurate solution based on an analytical approach is needed to deal with the inverse problem, or the dynamic instability of a space truss, because the governing equation has geometrical non-linearity. Therefore, the governing motion equations of the space truss were formulated by considering non-linearity, where an accurate analytical solution could be obtained using the Taylor method. To verify the accuracy of the applied method, an SDOF model was adopted, and the analysis using the Taylor method was compared with the result of the 4th order Runge-Kutta method. Moreover, the dynamic instability and buckling characteristics of the adopted model under step excitation was investigated. The result of the comparison between the two methods of analysis was well matched, and the investigation shows that the dynamic response and the attractors in the phase space can also delineate dynamic snapping under step excitation, and damping affects the displacement of the truss. The analysis shows that dynamic buckling occurs at approximately 77% and 83% of the static buckling in the undamped and damped systems, respectively.