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THE SET OF RECURRENT POINTS OF A CONTINUOUS SELF-MAP ON AN INTERVAL AND STRONG CHAOS

  • Wang, Lidong;Liao, Gongfu;Chu, Zhenyan;Duan, Xiaodong
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.277-288
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    • 2004
  • In this paper, we discuss a continuous self-map of an interval and the existence of an uncountable strongly chaotic set. It is proved that if a continuous self-map of an interval has positive topological entropy, then it has an uncountable strongly chaotic set in which each point is recurrent, but is not almost periodic.

STABILITY ANALYSIS OF AN HIV PATHOGENESIS MODEL WITH SATURATING INFECTION RATE AND TIME DELAY

  • Liao, Maoxin;Zhao, Sa;Liu, Manting
    • Journal of applied mathematics & informatics
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    • v.32 no.3_4
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    • pp.475-489
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    • 2014
  • In this paper, a mathematical model for HIV infection with saturating infection rate and time delay is established. By some analytical skills, we study the global asymptotical stability of the viral free equilibrium of the model, and obtain the sufficient conditions for the local asymptotical stability of the other two infection equilibria. Finally, some related numerical simulations are also presented to verify our results.

EXISTENCE AND GLOBALLY EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF IMPULSIVE FUZZY BAM NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS

  • Zhang, Qianhong;Yang, Lihui;Liao, Daixi
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.1031-1049
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    • 2012
  • In this paper, a class of impulsive fuzzy bi-directional associative memory (BAM) neural networks with distributed delays and variable coefficients are considered. Using Lyapunov functional method and fixed point theorem, we derived some sufficient conditions for the existence and globally exponential stability of unique periodic solution of the networks. The results obtained are new and extend the previous known results. In addition, an example is given to show the effectiveness of our results obtained.

A Theoretical Investigation of Forming Limits of Voided Anisotropic Sheet Metals (기공을 포함한 이방성 판재의 성형한계 예측)

  • You Bongsun;Yim Changdong;Kim Youngsuk;Won Sungyeun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.8 s.239
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    • pp.1139-1145
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    • 2005
  • Most failures of ductile materials in metal forming processes occurred due to material damage evolution - void nucleation, growth and coalescence. In this paper, the modified yield function of Liao et al in conjunction with the Hosford's yield criterion is studied to clarify the plastic deformation characteristic of voided anisotropic sheet metals. The void growth of an anisotropic sheet under biaxial tensile loading and damage effect of void growth on forming limits of sheet metals are investigated. Also the characteristic length defining the neck geometry is introduced in M-K model to incorporate the effect of triaxial stress in necked region on forming limits. The forming limits theoretically predicted are compared with experimental data. Satisfactory agreement was obtained between the predictions and experimental data.

Using the MCDM of the Innovative Product Value Chain to Promote New Product Design

  • Liao, Shih-Chung
    • Asian Journal of Business Environment
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    • v.4 no.3
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    • pp.27-37
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    • 2014
  • Purpose - In the past, designs for traditional products have usually focused on historic techniques. However, this tradition of using historic techniques has now been replaced by the trend of using the innovative design concept. Research design, data, and methodology - To measure future market trends and quality requirements, we apply the results of the questionnaires and analyze them with various experimental processes and a design methodology. In this way, we gauge the impact of the innovative product value chain on the promotion of new products. Results - Accompanied with an innovative product value chain, the product can stimulate the development of enterprise management, which has become the main issue in social and economic development in every developed country, and can facilitate the progress of enterprise management throughout the enterprise. Conclusions - Customer demand should be emphasized as the primary means to solve design problems, to design optimal solutions, to create differentiation with competitors, and to pursue optimal marketing strategies.

Fundamental Properties of Mortar and Wall Sand Coat Wall Materials Mixed with Eco-Friendly Plaster Material (친환경 미장재료로서 사벽재료를 혼입한 모르타르 및 벽체의 기초적 물성)

  • Liao, Xiao-Kai;Kim, Dong-Hun;Lim, Nam-Gi
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2017.05a
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    • pp.133-134
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    • 2017
  • The In the experiment on flow using sand walls, when white clay+sand was mixed with glutinous rice, traditional paper and seaweed as adherents and preventive measures for cracks, the flow was higher than other sand wall mortars. This indicates that it is effective in improving flow. Moreover, in terms of strength, a mix of white clay+sand, traditional paper and flour had a greater strength than a mix of white clay+sand, straws and flour. In the experiment to test for cracks and shrinking during drying, a composition of white clay+sand+traditional paper showed fewer cracks and less shrinking than the walls where straws were mixed in.

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Dual-Mode Liquid Crystal Devices with Switchable Memory and Dynamic Modes

  • Yao, I-An;Kou, Hsiao-Ti;Yang, Chiu-Lien;Liao, Shih-Fu;Li, Jia-Hsin;Wu, Jin-Jei
    • Journal of Information Display
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    • v.10 no.4
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    • pp.184-187
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    • 2009
  • A liquid crystal device with switchable dynamic and memory modes was investigated and developed. The proposed device reveals the splay, $\pi$-twist, and bend states via selective switching among them. In the dynamic mode, the device is operated in the bend state, which exhibits a wide viewing-angle and a fast-response-time due to its self-compensated bend structure and flow-accelerated fast response time, respectively. In the memory mode, the permanent memory characteristics in the splay and $\pi$-twist sates are obtained, respectively. The switching mechanisms of the tristate device are also proposed.

The Edge Detector Using Wavelet Transform developed for Heavy Noised Images. (심한 잡음성 영상의 경계선 검출을 위한 웨이블릿 변환 이용 검출기 개발)

  • 이혜성;변혜란;유지상
    • Proceedings of the Korean Information Science Society Conference
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    • 1998.10c
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    • pp.464-466
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    • 1998
  • 경계선 검출은 시각 인식 또는 기계 시각 인식의 과정에서 제일 먼저 수행되는 전처리 단계이다. 경계선 검출은 컴퓨터 시각 인식성능에 매우 중대한 요인으로 작용한다. 최근 MPEG-4에서 Model Based Coding 기법이 채택되면서, 경계선 검출 및 이를 이용한 컴퓨터 시각 인식의 중요성은 날로 커지고 있다. 한편, 잡음이 있는 영상의 경계선 검출 방법으로 여러 가지가 제시되었는데, 특히 잡음의 종류가 Additive White Gaussian인 경우에는 Canny Edge Detector가, Impulse인 경우에는 Dual Stack Filter를 적용한 방법이 각각 높은 성능으로 인정을 받고 있다. 그러나 Canny Edge Detector의 경우, Canny는 이론적인 Optimal Filter를 구하는 데에 성공하였지만 실제 적용에는, 이 Optimal Filter의 근사로써 Gauss함수의 1계 도함수를 사용하였다. 본 연구에서는 Gauss함수보다는 상당히 Optimal Filter와 가까운 Filter를 얻기 위하여 웨이블릿 변환을 사용한 Liao등의 방법과, 각기 다른 Scale에서의 웨이블릿 변환들이 가지는 잡음과의 관계를 고려한 새로운 경계선 검출방법을 개발하였다. 실험결과, 본 연구에서의 방법은 기존에 사용되던 Canny Edge Detector나 Stochastic Operator보다 뛰어난 성능을 보여주었다.

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A Digitally Controlled Three-Phase Cycloconverter Type High Frequency AC Link Inverter Using Space Vector Modulation

  • Sha, Deshang;Qin, Zian;Wu, Dan;Liao, Xiaozhong
    • Journal of Power Electronics
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    • v.11 no.1
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    • pp.28-36
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    • 2011
  • In this paper, a three phase cycloconverter type high frequency AC link inverter is discussed. The configuration consists of a high frequency full-bridge inverter and a high frequency transformer followed by a three phase cycloconverter whose switch is composed of anti-series connected MOSFETs with a common source. A simple digital control strategy based on space vector modulation (SVM) and repetitive control for the cycloconverter is proposed although its input voltage is a high frequency AC pulse. The operation principle of the proposed control strategy is analyzed and the equivalent working modes during one interval are also presented. The effectiveness of the proposed control strategy is verified through Matlab/Simulink simulations and experiments on a 1.45kW prototype.

Applying the Product Design of Learning and Management for Innovation Development

  • Liao, Shih-Chung
    • Journal of Distribution Science
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    • v.13 no.6
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    • pp.25-33
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    • 2015
  • Purpose - This paper's goal is to assess and promote several good teaching product designs and several learning environments. The paper discusses research product design learning and management. Research design, data, and methodology - As part of information science and technology, a school uses several teaching networks for auxiliary teaching, taking several designs as the teaching foundation, and creating multimedia curricula. Results - The results indicate that in the best learning designs and environments, the learner can maintain a high interest, which not only attracts all levels in the schools, but also has a pivotal influence on teaching around the world. The research study answers the question, was the atmosphere already luxurious? Conclusions - This study introduces several methodologies that are widely used for experimental processes. Using multi-criterion decision-making technology in studies of language product evaluation systems, the language teaching quality and space design is developed, and the language classroom learning system, the machine operation, the classroom environment design method, etc., conform to specifics of the study, the best choices, the most effective utilization, and are the most efficient.