• Title/Summary/Keyword: shift maps

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EXPANSIVITY ON ORBITAL INVERSE LIMIT SYSTEMS

  • Chu, Hahng-Yun;Lee, Nankyung
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.1
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    • pp.157-164
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    • 2019
  • In this article, we study expansiveness of the shift maps on orbital inverse limit spaces which consist of two cross bonding mappings. On orbital inverse limit systems, horizontal directions express inverse limit systems and vertical directions mean orbits based on horizontal axes. We characterize the c-expansiveness of functions on orbital spaces. We also prove that the c-expansiveness of the functions is equivalent to the expansiveness of the shift maps on orbital inverse limit spaces.

Shift Speed Improvement of a Metal Belt CVT

  • Lee, Heera;Kim, Hyunsoo
    • Journal of Mechanical Science and Technology
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    • v.15 no.12
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    • pp.1623-1629
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    • 2001
  • This parer presents a CVT line pressure control strategy for the increased shift speed. Firstly, an algorithm to increase the CVT shift speed is suggested based on a modified CVT shift dynamics and shift speed maps are constructed. In addition, simplified dynamic models of the line pressure and the ratio control valve are derived by considering the CVT shift dynamics, and low level control algorithms for the ratio and the line pressure control are proposed. Using the shift speed maps and the simplified dynamic models of the CVT system, shift performance is investigated. It is found from the experimental and simulation results that improved shift speed can be achieved by increasing the lilly pressure.

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ON THE RETRACTS AND RECODINGS OF CONTINUING CODES

  • YOO, JISANG
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.4
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    • pp.1375-1382
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    • 2015
  • We investigate what happens when we try to work with continuing block codes (i.e., left or right continuing factor maps) between shift spaces that may not be shifts of finite type. For example, we demonstrate that continuing block codes on strictly sofic shifts do not behave as well as those on shifts of finite type; a continuing block code on a sofic shift need not have a uniformly bounded retract, unlike one on a shift of finite type. A right eresolving code on a sofic shift can display any behavior arbitrary block codes can have. We also show that a right continuing factor of a shift of finite type is always a shift of finite type.

Design and Analysis of Maximal-Period Sequences Based on Nonlinear Feedback Shift Registers

  • Tsuneda, Akio;Oka, Mayumi;Nakazawa, Masahide;Inoue, Takahiro
    • Proceedings of the IEEK Conference
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    • 2000.07b
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    • pp.567-570
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    • 2000
  • A design method of nonlinear feedback shift registers that can produce maximal-period sequences is given. Such a design is based on one-to-one mappings which are similar to well-known chaotic maps. Some properties of generated binary sequences are investigated and discussed.

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Anti-Jamming Performance of Chaos Communications System Using DCSK and CDSK Modulation Method (DCSK와 CDSK 방식을 사용하는 카오스 통신 시스템의 항재밍 특성)

  • Lee, Jun-Hyun;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.24 no.4
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    • pp.417-425
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    • 2013
  • Digital communication technology have been focused on the higher data efficiency and the effective coding of information. Also, it is very important to improve security and minimize the interference of the external sources, Chaos communications system is studied to improve security and minimize the interference by effective encoding of information in the nonlinear systems such as DCSK(Differential Chaos Shift Keying) and CDSK(Correlation Delay Shift Keying). In this paper, we evaluate anti-jamming performance of chaos communications system using the DCSK and CDSK system. The simulation results show that the Gauss iterated map has better BER performance than the other maps(tent map, logistic map, Henon map). Also, DCSK and CDSK system can get the better anti-jamming performance by applying different chaotic maps.

High-Resolution Numerical Simulation of Respiration-Induced Dynamic B0 Shift in the Head in High-Field MRI

  • Lee, So-Hee;Barg, Ji-Seong;Yeo, Seok-Jin;Lee, Seung-Kyun
    • Investigative Magnetic Resonance Imaging
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    • v.23 no.1
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    • pp.38-45
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    • 2019
  • Purpose: To demonstrate the high-resolution numerical simulation of the respiration-induced dynamic $B_0$ shift in the head using generalized susceptibility voxel convolution (gSVC). Materials and Methods: Previous dynamic $B_0$ simulation research has been limited to low-resolution numerical models due to the large computational demands of conventional Fourier-based $B_0$ calculation methods. Here, we show that a recently-proposed gSVC method can simulate dynamic $B_0$ maps from a realistic breathing human body model with high spatiotemporal resolution in a time-efficient manner. For a human body model, we used the Extended Cardiac And Torso (XCAT) phantom originally developed for computed tomography. The spatial resolution (voxel size) was kept isotropic and varied from 1 to 10 mm. We calculated $B_0$ maps in the brain of the model at 10 equally spaced points in a respiration cycle and analyzed the spatial gradients of each of them. The results were compared with experimental measurements in the literature. Results: The simulation predicted a maximum temporal variation of the $B_0$ shift in the brain of about 7 Hz at 7T. The magnitudes of the respiration-induced $B_0$ gradient in the x (right/left), y (anterior/posterior), and z (head/feet) directions determined by volumetric linear fitting, were < 0.01 Hz/cm, 0.18 Hz/cm, and 0.26 Hz/cm, respectively. These compared favorably with previous reports. We found that simulation voxel sizes greater than 5 mm can produce unreliable results. Conclusion: We have presented an efficient simulation framework for respiration-induced $B_0$ variation in the head. The method can be used to predict $B_0$ shifts with high spatiotemporal resolution under different breathing conditions and aid in the design of dynamic $B_0$ compensation strategies.

CONTINUOUS ORBIT EQUIVALENCES ON SELF-SIMILAR GROUPS

  • Yi, Inhyeop
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.133-146
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    • 2021
  • For pseudo-free and recurrent self-similar groups, we show that continuous orbit equivalence of inverse semigroup partial actions implies continuous orbit equivalence of group actions. Conversely, if group actions are continuous orbit equivalent, and the induced homeomorphism commutes with the shift maps on their groupoids, we obtain continuous orbit equivalence of inverse semigroup partial actions.

The Interoperability between RDF/OWL and Topic Maps using the Semantic Wiki (시맨틱 위키를 이용한 RDF/OWL과 토픽맵 사이의 상호운용성)

  • Kim, Hoon-Min;Yang, Jung-Jin
    • The Journal of Society for e-Business Studies
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    • v.12 no.1
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    • pp.123-133
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    • 2007
  • With the emergence of Semantic Web and Web 2.0, the paradigm shift of the Web is on resource-centered services. That is, the focus now moves from having just rich resources to the meta-information of describing the resources. The relevant standards, RDF(Resource Description Language) and Topic Maps, of describing the meta-information are defined and adopted by W3C and ISO respectively. Describing meta-information in such a XML form could be burdensome to participants. Semantic Wiki extended from 1)WikiWikiWeb is proposed to deal with the problem. It enables users to generate RDF meta-information about Wiki pages with simple usages of the grammar. We discuss the way of improving interoperability between Topic Maps-based semantic Wiki papges and RDF-based ones. The method proposed by RDFTM task force is present with the usage of high-level Wiki grammar for facilitating low-level transformation.

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KVN SOURCE-FREQUENCY PHASE-REFERENCING OBSERVATION OF 3C 66A AND 3C 66B

  • ZHAO, GUANG-YAO;JUNG, TAEHYUN;DODSON, RICHARD;RIOJA, MARIA;SOHN, BONG WON
    • Publications of The Korean Astronomical Society
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    • v.30 no.2
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    • pp.629-631
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    • 2015
  • In this proceedings, preliminary results of the KVN Source-Frequency Phase-Referencing (SFPR) observation of 3C 66A and 3C 66B are presented. The motivation of this work is to measure the core-shift of these 2 sources and study the temporal evolution of the jet opacity. Two more sources were observed as secondary reference calibrators and each source was observed at 22, 43, and 86 GHz simultaneously. Our preliminary results show that after using the observations at the lower frequency to calibrate those at the higher frequency of the same source, the residual visibility phases for each source at the higher frequencies became more aligned, and the coherence time became much longer; also, the residual phases for different sources, within 10 degrees angular separations, follow similar trends. After reference to the nearby calibrator, the SFPRed maps were obtained as well as the astrometric measurements, i.e. the combined coreshift. The measurements were found to be affected by structural blending effects because of the large beamsize of KVN, but this can be corrected with higher resolution maps (e.g. KAVA maps).

INVARIANT GRAPH AND RANDOM BONY ATTRACTORS

  • Fateme Helen Ghane;Maryam Rabiee;Marzie Zaj
    • Journal of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.255-271
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    • 2023
  • In this paper, we deal with random attractors for dynamical systems forced by a deterministic noise. These kind of systems are modeled as skew products where the dynamics of the forcing process are described by the base transformation. Here, we consider skew products over the Bernoulli shift with the unit interval fiber. We study the geometric structure of maximal attractors, the orbit stability and stability of mixing of these skew products under random perturbations of the fiber maps. We show that there exists an open set U in the space of such skew products so that any skew product belonging to this set admits an attractor which is either a continuous invariant graph or a bony graph attractor. These skew products have negative fiber Lyapunov exponents and their fiber maps are non-uniformly contracting, hence the non-uniform contraction rates are measured by Lyapnnov exponents. Furthermore, each skew product of U admits an invariant ergodic measure whose support is contained in that attractor. Additionally, we show that the invariant measure for the perturbed system is continuous in the Hutchinson metric.