• Proceedings of the KIEE Conference
• /
• 1997.11a
• /
• pp.228-230
• /
• 1997

Recently, as power systems become large and complicated, chaos theory has been introduced to analyze their nonlinear characteristics. In this paper, voltage collapse phenomenon is more accurately analyzed using bifurcation theory of chaos. Chaotic behaviors has been observed in computer simulation for a simple power system over a range of loading conditions. Besides existence of voltage collapse point in critical value, operation of power system in Hopf window can be the cause of voltage collapse.

• International Journal of Automotive Technology
• /
• v.8 no.1
• /
• pp.33-38
• /
• 2007

Since it is difficult to analytically express the Melnikov function when a dynamic system possesses multiple saddle fixed points with homoclinic and/or heteroclinic orbits, this paper investigates a vehicle model with nonlinear suspension spring and hysteretic damping element, which exhibits multiple heteroclinic orbits in the unperturbed system. First, an algorithm for Melnikov integrals is developed based on the Melnikov method. And then the amplitude threshold of road excitation at the onset of chaos is determined. By numerical simulation, the existence of chaos in the present system is verified via time history curves, phase portrait plots and $Poincar{\acute{e}}$ maps. Finally, in order to further identify the chaotic motion of the nonlinear system, the maximal Lyapunov exponent is also adopted. The results indicate that the numerical method of estimating chaotic threshold is an effective one to complicated vehicle systems.

• The Korean Journal of Rheology
• /
• v.10 no.3
• /
• pp.121-130
• /
• 1998

본 연구에서는 카오스 스크류에 대해 비선형 동력학적 모델을 도입하여 카오스가 일어나는 경로를 밝히고 이를 수치적으로 증명하였다. 배리어가 계속존재하는 경우를 적분 가능계로 정의하고 공간주기적 상공간에서 두 개의 호모클리닉 궤도를 포함하는 원환체를 적분가능계의 모델로 도입하였다. 주기적으로 삽입된 배리어 없는 영역을 교란 으로 취급하 여 해 사상을 도입하여 면적 보존의 포인카레 단면을 정의 하였다. 호모클리닉 궤도가 깨어 져 칸토로 집합을 이룸을 설명했고 내부의 원환체는 공진띠와 KAM띠를 이루며 혼합을 방 해함을 설명했다. 다변유한요소를 이용한 완전 3차원수치해석을 통해 회전수 x/3에 해당하 는 공진띠의 존재를 보이고 교란이 큰 경우에는 거의 모든 영역이 무작위적인 혼합을 보여 주는 카오스 영역으로 바뀜을 보였다.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.9 no.5
• /
• pp.545-549
• /
• 1999

Previous studies on high impedance faults assumed that the erratic behavior of fault current would be random. In this paper we prove that the nature of the high impedance faults is indeed a deterministic chaos not a random motion. Algorithms for estimating Lyapunov spectrum and the largest Lyapunov exponent are applied to various fault currents in order to evaluate the orbital instability peculiar to deterministic chaos dynamically and fractal dimensions of fault currents which represent geometrical self-similarity are calculated. In addition qualitative analysis such a s phase planes Poincare maps obtained from fault currents indicate that the irregular behavior is described by strange attractor.

• Steel and Composite Structures
• /
• v.22 no.6
• /
• pp.1261-1280
• /
• 2016

We study chaotic motion in a nonlinear laminated composite plate under subsonic fluid flow and a simultaneous external load in this paper. We derive equations of motion of the plate using the von-$K{\acute{a}}rm{\acute{a}}n^{\prime}s$ hypothesis and the Hamilton's principle. Galerkin's approach is adopted as the solution method. We then conduct a divergence analysis to obtain critical velocities of the transient flow. Melnikov's integral approach is used to find the critical parameters in which chaos takes place. Effects of different parameters including the aspect ratio, plate material and the ply angle in laminates on the critical flow speed are investigated. In a parametric study, we show that how the linear and nonlinear stiffness of the plate and the load frequency and amplitude would influence the chaotic behavior of the plate.

• Advances in nano research
• /
• v.15 no.1
• /
• pp.25-34
• /
• 2023

This paper investigates the dynamics and stability of steady states in a continuous and discrete-time single-mode laser system. By using an explicit criteria we explored the Neimark-Sacker bifurcation of the single mode continuous and discrete-time laser model at its positive equilibrium points. Moreover, we discussed the parametric conditions for the existence of period-doubling bifurcations at their positive steady states for the discrete time system. Both types of bifurcations are verified by the Lyapunov exponents, while the maximum Lyapunov ensures chaotic and complex behaviour. Furthermore, in a three-dimensional discrete-time laser model, we used a hybrid control method to control period-doubling and Neimark-Sacker bifurcation. To validate our theoretical discussion, we provide some numerical simulations.

• 제어로봇시스템학회:학술대회논문집
• /
• 1997.10a
• /
• pp.1844-1847
• /
• 1997

Assuming that EEG(electroencephalogram), which is generated by a nonlinear electrical of billions of neurons in the brain, has chaotic characteristics, it is confirmend by frequency spectrum analysis, log frequency spectrum analysis, correlation dimension analysis and Lyapunov exponents analysis. Some chaotic characteristics are related to the degree of brain activity. The slope of log frequency spectrum increases and the correlation dimension decreasess with respect to the activities, while the largest Lyapunov exponent has only a rough correlation.

• The Korean Journal of Applied Statistics
• /
• v.15 no.2
• /
• pp.433-448
• /
• 2002

Revelation is emphasized in exploratory data analysis. Hence, many graphical techniques are used in exploratory data analysis. Three applications of graphs in exploratory data analysis are presented.

• The KIPS Transactions:PartA
• /
• v.9A no.3
• /
• pp.387-398
• /
• 2002

As whole genome sequences of many organisms have been revealed by small-scale genome projects, the intensive research on individual genes and their functions has been performed. However on-memory algorithms are inefficient to analysis of whole genome sequences, since the size of individual whole genome is from several million base pairs to hundreds billion base pairs. In order to effectively manipulate the huge sequence data, it is necessary to use the indexed data structure for external memory. In this paper, we introduce a workbench system for analysis and visualization of whole genome sequence using string B-tree that is suitable for analysis of huge data. This system consists of two parts : analysis query part and visualization part. Query system supports various transactions such as sequence search, k-occurrence, and k-mer analysis. Visualization system helps biological scientist to easily understand whole structure and specificity by many kinds of visualization such as whole genome sequence, annotation, CGR (Chaos Game Representation), k-mer, and RWP (Random Walk Plot). One can find the relations among organisms, predict the genes in a genome, and research on the function of junk DNA using our workbench.

• Journal of Family Resource Management and Policy Review
• /
• v.16 no.2
• /
• pp.145-163
• /
• 2012

The purpose of this study is to understand the process of "standing alone" in divorced single fathers on the basis of qualitative data collected through in-depth interviews with 10 divorced single fathers. Data were analyzed on the basis of grounded theory analysis in open coding, and 154 concepts, 39 sub-categories, and 14 categories were derived. According to the results of this study, the process phenomenon of divorced single fathers' standing alone was "the restraint and chaos of pain". This study could identify the consecutive process of four identified stages: marriage life's rupture, pain and chaos, deliberation and decision, and role adaption. In selective coding, the core category was "to pass through the restraint of pain and embrace children and stand alone". There were three types of standing alone: maintaining barely, enduring hopefully, and living initiatively. This study showed the necessity of social support and the basic data by type analysis through the process of standing alone. This study provided substantive knowledge generated through the voices of the persons concerned.