• Title/Summary/Keyword: Dynamical system

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Observability Analysis of Two Spacecraft System Using Relative Line of Sight Vector Measurements

  • Jo-Ryeong Im;Seung-U Lee;Hak Jeong Kim;Ju-Jin Lee
    • Bulletin of the Korean Space Science Society
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    • 2004.04a
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    • pp.66-66
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    • 2004
  • Observability of two spacecraft system is considered with relative line-of-sight vector measurements between two spacecraft system for autonomous navigation using the linear observability analysis. First, the dynamical equations and measurement models are introduced, and the basic assumption of attitude knowledge for one of two spacecrafts is explained. Then, we introduce a pair of nominal orbits of two spacecraft system, and the observability analysis for the nominal orbits is presented with the available measurements (for the numerical observability analysis). (omitted)

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INVERSE SHADOWING PROPERTY OF MORSE-SMALE SYSTEMS

  • Choi, Taeyoung;Lee, Keonhee
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.1
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    • pp.61-73
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    • 2002
  • We consider the inverse shadowing property of a dynamical system which is an "inverse" form of the shadowing property of the system. In particular, we show that every Morse-Smale system f on a compact smooth manifold has the inverse shadowing property with respect to the class $\mathcal{T}_h(f)$ of continuous methods generated by homeomorphisms, but the system f does not have the inverse\mathrm{T} shadowing property with respect to the class $\mathcal{T}_c(f)$ of continuous methods.

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A NOTE ON FLIP SYSTEMS

  • Lee, Sung-Seob
    • Honam Mathematical Journal
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    • v.29 no.3
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    • pp.341-350
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    • 2007
  • A dynamical system with a skew-commuting involution map is called a flip system. Every flip system on a subshift of finite type is represented by a pair of matrices, one of which is a permutation matrix. The transposition number of this permutation matrix is studied. We define an invariant, called the flip number, that measures the complexity of a flip system, and prove some results on it. More properties of flips on subshifts of finite type with symmetric adjacency matrices are investigated.

Forecasting High-Level Ozone Concentration with Fuzzy Clustering (퍼지 클러스터링을 이용한 고농도오존예측)

  • 김재용;김성신;왕보현
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.191-194
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    • 2001
  • The ozone forecasting systems have many problems because the mechanism of the ozone concentration is highly complex, nonlinear, and nonstationary. Also, the results of prediction are not a good performance so far, especially in the high-level ozone concentration. This paper describes the modeling method of the ozone prediction system using neuro-fuzzy approaches and fuzzy clustering. The dynamic polynomial neural network (DPNN) based upon a typical algorithm of GMDH (group method of data handling) is a useful method for data analysis, identification of nonlinear complex system, and prediction of a dynamical system.

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The Dynamical Models of the Life Action on the Assimilation and Dissimilation in the Ecosystem (생태계에 있어서 동화.이화작용에 관한 동력학적 모델)

  • 장남기
    • Asian Journal of Turfgrass Science
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    • v.10 no.4
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    • pp.331-339
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    • 1996
  • The mass action on the assimilation and dissimilation of a living system from bio-molecules to bio-spheres has been demonstrated by the theoretical models as the bio- and trophic-functions From the viewpoint of this bio-mechanics, the general principle on the pre-equilibrium of the bio-molecular system is found. Key words: Mass action, Living system, Bio-molecule, Bio-sphere, Bio- and trophic function.

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Spectral subspaces for compact group actions on $C^*$-algebras

  • Jang, Sun-Young
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.525-533
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    • 1997
  • We analysis spectral subspaces of $C^*$-algebras for a compacr group action. And we prove the condition that the fixed point algebra of the product action is the tensor product of the fixed point algebras.

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Stability of Dynamical Polysystems

  • Gu, Yoon Hoe
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.109-115
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    • 1994
  • We introduce the concept of the prolongation operator and examine some properties of this operator. In c-first countable space X, we prove that each compact subset M of X is stable if and only if DR(M)=M for each polydynamical system.

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NONSELECTIVE HARVESTING OF A PEY-PREDATOR COMMUNITY WITH

  • Ghosh, Dipanwita;Sarkar, A.K.
    • Journal of applied mathematics & informatics
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    • v.6 no.3
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    • pp.823-834
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    • 1999
  • The present paper deals with the problem of nonselective harvesting in a partly infecte prey and predator system in which both the suseptible prey and the predator follow the law of logistic growth and some preys avoid predation by hiding. The dynamical behaviour of the system has been studied in both the local and global sense. The optimal policy of exploitation has been derived by using Pontraygin's maximal principle. Numerical analysis and computer simulation of the results have been performed to inverstigate the global properties of the system.

유니사이클 로봇의 링크 시스템에 대한 운동학적 해석

  • 김중완
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.309-312
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    • 1996
  • In view of physical mechanics, unicycle's dynamical system is a very sensitive system. Mechanical unicycle's structure has mechanical components of wheel, body frame, driving actuator and several mechanical elements. Mechanical unicycle is closed link system. Each component is chained with the others. For design of unicycle robot. we must decide the sizes, masses, positions of mechanical components throughout kinematics and kinetics analysis of unicycle robot. In this paper, we analized driving and closed link mechanism of unicycle robot

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