• 음성과학
• /
• 제3권
• /
• pp.148-155
• /
• 1998

As an application of dimensional analysis in the theory of chaos and fractals, we studied and estimated the information dimension for various phonemes. By constructing phase-space vectors from the time-series speech signals, we calculated the natural measure and the Shannon's information from the trajectories. The information dimension was finally obtained as the slope of the plot of the information versus space division order. The information dimension showed that it is so sensitive to the waveform and time delay. By averaging over frames for various phonemes, we found the information dimension ranges from 1.2 to 1.4.

• 대한전자공학회:학술대회논문집
• /
• 대한전자공학회 2002년도 ITC-CSCC -3
• /
• pp.2012-2015
• /
• 2002

Synchronization phenomena of chaos observed in a dual-structured system is presented. The system is consisting of two identical piecewise-linear systems and the simple coupling between the two systems enables the synchronization of the chaotic behavior. An application of the proposed dual-structure to a real power system for the parameter value identification is also presented.

• 대한기계학회논문집A
• /
• 제30권2호
• /
• pp.194-201
• /
• 2006

Gait analysis is essential to identify accurate cause and knee condition from patients who display abnormal walking. Traditional linear tools can, however, mask the true structure of motor variability, since biomechanical data from a few strides during the gait have limitation to understanding the system. Therefore, it is necessary to propose a more precise dynamic method. The chaos analysis, a nonlinear technique, focuses on understand how variations in the gait pattern change over time. Eight healthy eight subjects walked on a treadmill for 100 seconds at 60 Hz. Three dimensional walking kinematic data were obtained using two cameras and KWON3D motion analyzer. The largest Lyapunov exponent from the measured knee angular displacement time series was calculated to quantify local stability. This study quantified the variability present in time series generated from gait parameter via chaos analysis. Knee flexion-extension patterns were found to be chaotic. The proposed Lyapunov exponent can be used in rehabilitation and diagnosis of recoverable patients.

• Journal of Multimedia Information System
• /
• 제8권2호
• /
• pp.131-142
• /
• 2021

This paper traces the process of constructing a new one-dimensional chaotic map, and will provide a simple application in color image encryption. The use of Sarkovskii's theorem will make it possible to determine the existence of chaos and restrict all conditions to ensure the existence of this new sequence. In addition, the sensitivity to initial conditions will be proved by Lyapunov's index value. Similarly, the performance of this new chaotic map will be illustrated graphically and compared with other chaotic maps most commonly used in cryptography. Finally, a humble color image encryption application will show the power of this new chaotic map.

• 정보보호학회논문지
• /
• 제9권4호
• /
• pp.37-48
• /
• 1999

현대암호방식은 종래의 선형 대수와 수리이론을 적용한 암호통신을 벗어난 유사 잡음성을 띠는 카오스 신호를 이용한 암호통신을 적용해 오고 있다,[1-2] 본 논문은 1차 permutation 알고 리즘을 이용 하여 변환된 정보를 2차 이산 카오스 변환 함수를 이용해 암호화하는 광영상 암호시스템을 제안하여UT 다. 제안된 시스템은 키수열 발생기의 출력을 통해 영상정보를 permutation 하는 알고리즘 을 설계하였고 이에 대한 검정을 수행하였다. 또한 본 논문에서는 permutation 알고리즘을 통해 제한적인 카오스 함수 의 적용시 발생하는 문제점을 해결하고 비도를 증가시킴으로써 광영상 암호시스템에 적용 시 그 타당성 을 검정하였다. Current encryption methods have been applied to secure communication using discrete chaotic system whose output is a noise-like signal which differs from the conventional encryption methods that employ algebra and number theory[1-2] We propose an optical encryption method that transforms the primary pattern into the image pattern of discrete chaotic function first a primary pattern is encoded using permutation algorithm, In the proposed system we suggest the permutation algorithm using the output of key steam generator and its security level is analyzed. In this paper we worked out problem of the application about few discrete chaos function through a permutation algorithm and enhanced the security level. Experimental results with image signal demonstrate the proper of the implemented optical encryption system.

• 한국전자통신학회논문지
• /
• 제12권5호
• /
• pp.747-754
• /
• 2017

카오스 기반 보안 통신시스템은 표준 대역확산 시스템의 대안으로서, 이것은 정보신호의 대역을 확산시키며 단순하고 작은 비용으로 카오스회로를 사용하여 정보신호를 암호화할 수 있다. 보안 통신 분야에서는 Lorenz, Chua, Rossler, Duffing등과 같은 전통적인 시스템들이 널리 사용되고 있다. Malasoma 카오스 시스템은 위상학적으로는 단순하지만 불규칙한 신호 생성과 비선형성의 시스템으로서 동기화와 보안 통신을 적용한 시스템은 관련 논문도 거의 없다. 본 논문은 기존의 카오스 시스템의 대안으로서 보안 통신 분야에서 사용될 수 있는 새로운 카오스 시스템을 소개한다. 또한 이 새로운 모델은 시뮬레이션을 통하여 카오스 신호로 보안성을 확인하고 P-C(Pecora-Carroll)방식을 사용하는 동기화 통신시스템을 모델화 한다. Malasoma 시스템의 모델링, 동기화 및 보안 통신 응용은 각각 MATLAB - Simulink 환경에서 구현된다. 이를 통해 도출된 결과는 이 새로운 카오스 시스템이 보안 통신 분야에서 사용될 수 있음을 확인할 수 있다.

• International Journal of Automotive Technology
• /
• 제8권4호
• /
• pp.467-476
• /
• 2007

This work verifies the chaotic motion of a steer-by-wire vehicle dynamic system, and then elucidates an application of dither smoothing to control the chaos of a vehicle model. The largest Lyapunov exponent is estimated from the synchronization to identify periodic and chaotic motions. Then, a bifurcation diagram reveals complex nonlinear behaviors over a range of parameter values. Finally, a method for controlling a chaotic vehicle dynamic system is proposed. This method involves applying another external input, called a dither signal, to the system. The designed controller is demonstrated to work quite well for nonlinear systems in achieving robust stability and protecting the vehicle from slip or spin. Some simulation results are presented to establish the feasibility of the proposed method.

• 한국경영과학회:학술대회논문집
• /
• 대한산업공학회/한국경영과학회 1994년도 춘계공동학술대회논문집; 창원대학교; 08월 09일 Apr. 1994
• /
• pp.437-450
• /
• 1994

The problem of testing for a change in the parameter of a stochastic process is particularly important in simulation studies. In studies of the steady state characteristics of a simulation model, it is important to identify initialization bias and to evaluate efforts to control this problem. A simulation output have the characteristics of chaotic behavior because of sensitive dependence on initial conditions. For that reason, we will apply Lyapunov exponent for diagnosis of chaotic motion to simulation output analysis. This paper proposes two methods for diagnosis of steady state in simulation output. In order to evaluate the performance and effectiveness of these methods using chaos theory, M/M/I(.inf.) queueing model is used for testing point estimator, average bias.

• 한국디지털건축인테리어학회논문집
• /
• 제9권3호
• /
• pp.15-23
• /
• 2009

Chaos theory, qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems, is dominant paradigm in the twenty first century. Fractal geometry, as an expressed form of chaos, now influences many areas such as architecture, art, music, economics, literature, etc. The purpose of this study is to analyze fractal geometry and fractal formative elements in architectural design. There are scaling, superimposition, distortion, deformation and repetition in the fractal form generator that can be applied to design concept and process in architecture. This study shows fractal geometry can be the architectural form creation method. Fractal geometry similar to nature's patterned order can be provided endless possibilities for design analysis and methodology in architecture. Therefore the further study of fractal geometry should progress synthetically through the basis of the study.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2001년도 춘계학술대회 논문집 전력기술부문
• /
• pp.287-289
• /
• 2001

많은 자연계가 선형성과 비선형성을 동시에 포함한 카오스적인 모습을 보여준다 예를 들면 춤추는 불꽃, 부서지는 파도. 하늘에 떠다니는 무수한 구름 등 외관상으로는 불규칙해 보이는 듯 하면서 어떤 규칙성을 가진 다양한 모습을 나타낸다. 특히 공학분야에서는 거의 모든 현상이 비선형계로 이루어져 있다 이러한 비선형계의 해석에 카오스 이론이 적용될 수 있는데 최근 들어 카오스에 내재하는 질서구조가 밝혀짐에 따라 여러 공학분야에서 이를 활발히 응용하고 있다. 본 논문에서는 카오스 이론에 대해 간단히 논하고 이러한 카오스 이론이 응용될 수 있는 분야를 공학적 측면에서 일목요연하게 정리하였다. 특히 전력계통 및 송배전설비 분야 중 GIS 상태감시 및 부분방전 검출기법에 대해서 시계열 데이터를 이용한 카오스 이론의 적용 가능성을 타진하였다.