• 대한수학회논문집
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• 제23권4호
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• pp.587-595
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• 2008

It is well known that critical points of the total scalar curvature functional S on the space of all smooth Riemannian structures of volume 1 on a compact manifold M are exactly the Einstein metrics. When the domain of S is restricted to the space of constant scalar curvature metrics, there has been a conjecture that a critical point is isometric to a standard sphere. In this paper we investigate the relationship between the first Betti number and stable minimal surfaces, and study the analytic properties of stable minimal surfaces in M for n = 3.

• 충청수학회지
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• 제35권3호
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• pp.255-267
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• 2022

Uniform space is a generalization of metric space. The main purpose of this paper is to extend several results contained in [5, 6] which have for an expansive homeomorphism with the pseudo orbit tracing property(POTP in short) on a compact metric space (X, d) for an expansive homeomorphism with the POTP on a compact uniform space (X, 𝒰). we characterize stable and unstable sets, sink and source and saddle, recurrent points for an expansive homeomorphism which has the POTP on a compact uniform space (X, 𝒰).

• 충청수학회지
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• 제16권1호
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• pp.113-121
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• 2003

This paper is concerned with some properties of stable domains and limit functions. Using the relationship between cycles of periodic stable domains and orbits of critical points and using the Sullivan theorem [19], we prove that the value of a constant limit function in some stable domain for a rational function f of degree at least two lies in the closure of the set of critical orbits of f.

• 제어로봇시스템학회논문지
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• 제15권1호
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• pp.99-104
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• 2009

This article describes the analysis of stable grasping for multi-fingered robot. An analysis method of stable grasping, which is based on the three-dimensional acceleration convex polytope, is proposed. This method is derived from combining dynamic equations governing object motion and robot motion, force relationship and acceleration relationship between robot fingers and object's gravity center through contact condition, and constraint equations for satisfying no-slip conditions at every contact points. After mapping no-slip condition to torque space, we derived intersected region of given torque bounds and the mapped region in torque space so that the intersected region in torque space guarantees no excessive torque as well as no-slip at the contact points. The intersected region in torque space is mapped to an acceleration convex polytope corresponding to the maximum acceleration boundaries which can be exerted by the robot fingers under the given individual bounds of each joints torque and without causing slip at the contacts. As will be shown through the analysis and examples, the stable grasping depends on the joint driving torque limits, the posture and the mass of robot fingers, the configuration and the mass of an object, the grasp position, the friction coefficients between the object surface and finger end-effectors.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1994년도 하계학술대회 논문집 A
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• pp.183-185
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• 1994

A new method for determination of electric parameter of cell membranes is proposed. Two circular electrodes is designed to have repulsive force. From the potential energy analysis, stable points where a cell is levitated between electrodes exist and move as frequency or voltage change. The levitated cell in the stable point fall freely when DEP force is zero. The DEP force is dependent on the frequency and the force is zero at the critical frequency. The critical frequency is determined by measuring the difference between the time taken at zero-applied voltage and the time taken at the frequency and the voltage. For example, the critical frequency and stable points of N.crassa slime cell is numerically evaluated. In the exeriment, polystyrene in water is levitated at the stable point. We show that the stable point move as the applied voltage is changed.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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• pp.264-264
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• 2000

In this paper, we propose a method to automatically extract stable visual landmarks from observed data for a mobile robot with stereo vision system. The robot selects as stable landmarks vertical line segments which are distinct and on planar surfaces, because they are expected to be observed reliably from various view-points. When the robot moves, it uses several, less uncertain landmarks for estimating its motion. Experimental results in real scenes show the validity of the proposed method.

• 대한수학회지
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• 제54권1호
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• pp.1-16
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• 2017

In this paper we study a four dimensional tourism-based social-ecological dynamical system. In fact we analyse tourism profitability, compatibility and sustainability by using bifurcation theory in terms of structural properties of attractors of system. For this purpose first we transformed it into a three dimensional system such that the reduced system is the extended and modified model of the previous three dimensional models suggested for tourism with the same dimension. Then we investigate transcritical, pitchfork and saddle-node bifurcation points of system. And numerically by finding some branches of stable equilibria for system show the profitability of tourism industry. Then by determining the Hopf bifurcation points of system we find a family of stable attractors for that by numerical techniques. Finally we conclude the existence of these stable limit cycles implies profitability and compatibility and then the sustainability of tourism.

• 한국가정과교육학회지
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• 제22권1호
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• pp.79-96
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• 2010

본 연구의 목적은 청소년의 가족건강성에 따른 금전사용양식과 금전관리행동의 차이를 검증하는데 있다. 자료분석에는 고등학생 914명이 응답한 설문지를 사용하였으며, 통계분석방법으로는 신뢰도계수(Cronbach'$\alpha$) 산출, t검정, 일원분산분석과 사후검정으로 Duncan의 다중비교분석을 실시하였다. 연구결과는 다음과 같이 요약할 수 있다. 조사대상 청소년의 기족건강성 점수는 3.36(5점 만점)으로 중간정도의 성향을 보였다. 금전사용양식은 안정형, 과시형, 무관심형으로 구성되었으며 무관심형의 평균이 3.33, 안정형은 3.01, 과시형은 2.91이었다. 금전관리행동은 계획, 수행, 평가, 저축으로 이루어졌으며, 계획이 2.81점, 실행이 2.87점, 명가가 2.90점, 저축이 2.50점으로 나타났다. 가족건강성이 높은 청소년은 금전을 통해 안정을 추구하는 경향과 과시를 추구하는 경향이 높았다. 청소년의 가족건강성 지각은 자신의 금전관리행동에도 유의한 정적 차이를 나타내어 자신의 가정을 건강하게 지각할수록 합리적인 금전관리행동을 하였다.

• 대한수학회지
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• 제60권5호
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• pp.1043-1055
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• 2023

In this paper we study a pointwise version of Walters topological stability in the class of homeomorphisms on a compact metric space. We also show that if a sequence of homeomorphisms on a compact metric space is uniformly expansive with the uniform shadowing property, then the limit is expansive with the shadowing property and so topologically stable. Furthermore, we give examples to illustrate our results.

• 천문학논총
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• 제30권2호
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• pp.297-299
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• 2015

In this paper we have examined the linear stability of triangular equilibrium points in the photogravitational restricted three body problem when both primaries are triaxial rigid bodies, the bigger one an oblate spheroid and source of radiation. The orbits about the Lagrangian equilibrium points are important for scientific investigation. A number of space missions have been completed and some are being proposed by various space agencies. We analyze the periodic motion in the neighbourhood of the Lagrangian equilibrium points as a function of the value of the mass parameter. Periodic orbits of an infinitesimal mass in the vicinity of the equilibrium points are studied analytically and numerically. The linear stability of triangular equilibrium points in the photogravitational restricted three body problem with Poynting-Robertson drag when both primaries are oblate spheroids has been examined by A. Kumar (2007). We have found the equations of motion and triangular equilibrium points for our problem. With the help of the characteristic equation we have discussed stability conditions. Finally, triangular equilibrium points are stable in the linear sense. It is further seen that the triangular points have long or short periodic elliptical orbits in the same range of ${\mu}$.