• 제목/요약/키워드: Actions

검색결과 4,679건 처리시간 0.036초

TOPOLOGICAL COMPLEXITY OF SEMIGROUP ACTIONS

  • Yan, Xinhua;He, Lianfa
    • 대한수학회지
    • /
    • 제45권1호
    • /
    • pp.221-228
    • /
    • 2008
  • In this paper, we study the complexity of semigroup actions using complexity functions of open covers. The main results are as follows: (1) A dynamical system is equicontinuous if and only if any open cover has bounded complexity; (2) Weak-mixing implies scattering; (3) We get a criterion for the scattering property.

CLASSIFICATION OF FREE ACTIONS OF FINITE GROUPS ON 3-DIMENSIONAL NILMANIFOLDS

  • Koo, Daehwan;Oh, Myungsung;Shin, Joonkook
    • 대한수학회지
    • /
    • 제54권5호
    • /
    • pp.1411-1440
    • /
    • 2017
  • We study free actions of finite groups on 3-dimensional nil-manifolds with the first homology ${\mathbb{Z}}^2{\oplus}{\mathbb{Z}}_p$. By the works of Bieberbach and Waldhausen, this classification problem is reduced to classifying all normal nilpotent subgroups of almost Bieberbach groups of finite index, up to affine conjugacy.

A Corrective Maintenance Policy Which Determines Replacement or Repair for the Maintenance of System Failures

  • Jang, Jae-Jin;Lie, Chang-Hoon
    • 한국국방경영분석학회지
    • /
    • 제15권1호
    • /
    • pp.54-62
    • /
    • 1989
  • This paper presents a corrective maintenance model to determine either type of maintenance actions upon failure of the system. Types of maintenance actions considered are minimal repair and replacement. Minimal repair cost is assumed to be random, whereas replacement cost is fixed. A policy, B(t), which determines the type of maintenance action based on the estimated minimal repair cost when the system fails at time t is adopted. To obtain an optimal policy, an expected maintenance cost per unit time is derived and is minimized with respect to B(t).

  • PDF

폴리에틸렌 내에서 워터트리가 확산하는데 염용액이 미치는 영향 (An Effect of the Salt Solution on the Water Tree Propagation in Polyethylene)

  • Koo, Ja-Yoon
    • 대한전기학회논문지
    • /
    • 제34권11호
    • /
    • pp.436-439
    • /
    • 1985
  • An effect of the salt solution on the Water Tree Propagation was shown systematically from the actions of the salt concentration in deionized water. It may be able to suggest that the tree propagation is possibly to be connected with an intervention of the electrochemical or chemical actions of the salt solution on water tree propagation, which may likely depend on the growth level of the trees. We have pointed out that it is necessary to study the structure of water tree under the electrical stress.

  • PDF

SHADOWABLE POINTS FOR FINITELY GENERATED GROUP ACTIONS

  • Kim, Sang Jin;Lee, Keonhee
    • 충청수학회지
    • /
    • 제31권4호
    • /
    • pp.411-420
    • /
    • 2018
  • In this paper we introduce the notion of shadowable points for finitely generated group actions on compact metric spaace and prove that the set of shadowable points is invariant and Borel set and if chain recurrent set contained shadowable point set then it coincide with nonwandering set. Moreover an action $T{\in}Act(G, X)$ has the shadowing property if and only if every point is shadowable.

FREE CYCLIC ACTIONS OF THE 3-DIMENSIONAL NILMANIFOLD

  • Shin, Joonkook;Goo, Daehwan;Park, Eunmi
    • 충청수학회지
    • /
    • 제14권2호
    • /
    • pp.27-35
    • /
    • 2001
  • We shall deal with ten cases out of 15 distinct almost Bieberbach groups up to Seifert local invariant. In those cases we will show that if G is a finite abelian group acting freely on the standard nilmanifold, then G is cyclic, up to topological conjugacy.

  • PDF

POINTWISE CONTINUOUS SHADOWING AND STABILITY IN GROUP ACTIONS

  • Dong, Meihua;Jung, Woochul;Lee, Keonhee
    • 충청수학회지
    • /
    • 제32권4호
    • /
    • pp.509-524
    • /
    • 2019
  • Let Act(G, X) be the set of all continuous actions of a finitely generated group G on a compact metric space X. In this paper, we study the concepts of topologically stable points and continuous shadowable points of a group action T ∈ Act(G, X). We show that if T is expansive then the set of continuous shadowable points is contained in the set of topologically stable points.

Actions of Group I Metabotropic Glutamate Receptor Agonist on Synaptic Transmission and Ionic Currents in Rat Medial Vestibular Nucleus Neurons

  • Lee, Hae-In;Chun, Sang-Woo
    • International Journal of Oral Biology
    • /
    • 제34권4호
    • /
    • pp.215-222
    • /
    • 2009
  • Medial vestibular nucleus (MVN) neurons are involved in the reflex control of the head and eyes, and in the recovery of vestibular function after the formation of peripheral vestibular lesions. In our present study, whole cell patch clamp recordings were carried out on MVN neurons in brainstem slices from neonatal rats to investigate the actions of a group I metabotropic glutamate receptor (mGluR) agonist upon synaptic transmission and ionic currents. Application of the mGluR I agonist (S)-3,5- dihydroxyphenylglycine (DHPG) increased the frequency of miniature inhibitory postsynaptic currents (mIPSCs) but had no effect upon amplitude distributions. To then identify which of mGluR subtypes is responsible for the actions of DHPG in the MVN, we employed two novel subtype selective antagonists. (S)-(+)-$\alpha$-amino-a-methylbenzeneacetic acid (LY367385) is a potent competitive antagonist that is selective for mGluR1, whereas 2-methyl-6-(phenylethynyl)-pyridine (MPEP) is a potent noncompetitive antagonist of mGluR5. Both LY367385 and MPEP antagonized the DHPG-induced increase of mIPSCs, with the former being more potent. DHPG was also found to induce an inward current, which can be enhanced under depolarized conditions. This DHPG-induced current was reduced by both LY367385 and MPEP. The DHPG-induced inward current was also suppressed by the PLC blocker U-73122, the $IP_3$ receptor antagonist 2-APB, and following the depletion of the intracellular $Ca^{2+}$ pool by thapsigargin. These data suggest that the DHPG-induced inward current may be mainly regulated by the intracellular $Ca^{2+}$ store via the PLC-$IP_3$ pathway. In conclusion, mGluR I, via pre- and postsynaptic actions, may modulate the excitability of the MVN neurons.