• 제목/요약/키워드: periodic point

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EMI/EMC 측정용 십자형 대수 주기 다이폴 안테나의 설계 및 해석 (A Design of EMI / EMC Crossed Log-Periodic Dipole Antenna)

  • 김진태;최학근;진년강
    • 한국전자파학회지:전자파기술
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    • 제5권3호
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    • pp.48-58
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    • 1994
  • 본 논문에서는 EMI/EMC 측정용 안테나로서 다이폴 소자가 료차된 삽자형 대수-주기 다이폴 안테나 (CLPDA: Crossed Log-Periodic Dipole Antenna)를 제시하고 모멘트 법과 전송선로 이론을 결합하여 해석하였다. 이 안테나의 광대역 특성을 고려하여 전 주파수 범위에서 임피던스 정합에 중점을 두었으며, 이에 따라 트윈-붐(Twin-boom) 급전 방식을 사용하였다.해석 결과로써 전류 분포, 입력 어드미턴스, 복사 패턴 및 이득을 계산 하였으며, 실제 CLPDA를 설계하여 복사 패턴과 이득을 측정하였다. 제작한 CLPDA의 측정치는 주어진 주파수 범위(200MHz~500MHz)내에서 이론치에 근접하게 나타났다.

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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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    • 제30권5_6호
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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.

정기보전제도에서 응급수리제품에 대한 무상수리 적용의 비용분석 모델 (A Cost Analysis Model of Minimal-Repairable Items in Free Replacement under the Periodic Maintenance Policy)

  • 김재중;김원중;조남호
    • 산업경영시스템학회지
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    • 제19권39호
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    • pp.89-98
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    • 1996
  • This paper is concerned with cost analysis model in free -replacement policy under the periodic maintenance policy The free-replacement policy with minimal repairable item is considered as follows; in a manufacturer's view point operating unit is periodically replaced, if a failure occurs between minimal repair and periodic maintenance time, unit is remained in a failure condition. Also unit undergoes minimal repair at failures in minimal-repair interval. Then total expected cost per unit time is calculated according to maintenance period Tin a viewpoint of consumer's. The expected costs are included repair cost and usage cost: operating, fixed, minimal repair and loss cost. Numerical example is shown in which failure time of item has beta distribution.

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PERIODICITY AND POSITIVITY IN NEUTRAL NONLINEAR LEVIN-NOHEL INTEGRO-DIFFERENTIAL EQUATIONS

  • Bessioud, Karima;Ardjouni, Abdelouaheb;Djoudi, Ahcene
    • 호남수학학술지
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    • 제42권4호
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    • pp.667-680
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    • 2020
  • Our paper deals with the following neutral nonlinear Levin-Nohel integro-differential with variable delay $${\frac{d}{dt}x(t)}+{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{t-r(t)}}^t}a(t,s)x(s)ds+{\frac{d}{dt}}g(t,x(t-{\tau}(t)))=0.$$ By using Krasnoselskii's fixed point theorem we obtain the existence of periodic and positive periodic solutions and by contraction mapping principle we obtain the existence of a unique periodic solution. An example is given to illustrate this work.

SOLVABILITY FOR A CLASS OF FDES WITH SOME (e1, e2, θ)-NONLOCAL ANTI PERIODIC CONDITIONS AND ANOTHER CLASS OF KDV BURGER EQUATION TYPE

  • Iqbal Jebril;Yazid GOUARI;Mahdi RAKAH;Zoubir DAHMANI
    • Nonlinear Functional Analysis and Applications
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    • 제28권4호
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    • pp.1017-1034
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    • 2023
  • In this paper, we work two different problems. First, we investigate a new class of fractional differential equations involving Caputo sequential derivative with some (e1, e2, θ)-periodic conditions. The existence and uniqueness of solutions are proven. The stability of solutions is also discussed. The second part includes studying traveling wave solutions of a conformable fractional Korteweg-de Vries-Burger (KdV Burger) equation through the Tanh method. Graphs of some of the waves are plotted and discussed, and a conclusion follows.

A Chaos Control Method by DFC Using State Prediction

  • Miyazaki, Michio;Lee, Sang-Gu;Lee, Seong-Hoon;Akizuki, Kageo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제3권1호
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    • pp.1-6
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    • 2003
  • The Delayed Feedback Control method (DFC) proposed by Pyragas applies an input based on the difference between the current state of the system, which is generating chaos orbits, and the $\tau$-time delayed state, and stabilizes the chaos orbit into a target. In DFC, the information about a position in the state space is unnecessary if the period of the unstable periodic orbit to stabilize is known. There exists the fault that DFC cannot stabilize the unstable periodic orbit when a linearlized system around the periodic point has an odd number property. There is the chaos control method using the prediction of the $\tau$-time future state (PDFC) proposed by Ushio et al. as the method to compensate this fault. Then, we propose a method such as improving the fault of the DFC. Namely, we combine DFC and PDFC with parameter W, which indicates the balance of both methods, not to lose each advantage. Therefore, we stabilize the state into the $\tau$ periodic orbit, and ask for the ranges of Wand gain K using Jury' method, and determine the quasi-optimum pair of (W, K) using a genetic algorithm. Finally, we apply the proposed method to a discrete-time chaotic system, and show the efficiency through some examples of numerical experiments.

WiBro시스템에서 주기적 레인징 코드를 이용한 다중 레벨 Keep - Alive 알고리즘 (MLKA Scheme Based on Periodic Ranging Code Group for Detecting Abnormal AT in WiBro System)

  • 이숙진;김환우
    • 한국통신학회논문지
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    • 제32권6A호
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    • pp.600-607
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    • 2007
  • 최근 초고속의 무선데이터 통신을 지원하기 위한 시스템으로 WiBro (Wireless Broadband) 시스템이 대두 되고있다. 본 논문은 WiBro시스템의 한 셀에서 서비스 중인 단말기의 비정상 상태를 점검하는 다중레벨 keep-alive 방법(MLKA : Multi-Level Keep Alive) 방법을 제안하고 있다. 본 논문에서 제안하는 MLKA방법은 WiBro 시스템에서 주기적인 레인징 코드들을 그룹화 하여 단말의 위치에 따라 시간 오차와 전력 오차를 조정하기 위해서 사용하는 주기적인 레인징 기능을 이용한다. 본 논문에서 제안하는 MLKA 알고리즘은 단말의 비정상 상태를 점검하기 위해서 필요한 keep-alive 메시지 사용을 감소 시킨다. 본 논문에서는 제안된 알고리즘의 우수성을 검증하기 위해서 이론적인 수학적 접근 방법과 시뮬레이션 검증 방법을 사용 하였고, 시뮬레이션 결과로부터 기존의 메시지 기반 keep-alive 방법보다 keep-alive 메시지 사용을 줄일 수 있다. 그러므로 본 논문에서 제안하는 MLKA 알고리즘은 제어 메시지 사용을 감소 시키므로 WiBro 시스템의 트래픽 성능을 증가 시킨다.

ON THE RELATIONSHIP BETWEEN STABLE DOMAINS AND CRITICAL ORBITS

  • Yoo, Seung Jae
    • 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.

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VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM

  • JUNG, TACKSUN;CHOI, Q-HEUNG
    • 대한수학회보
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    • 제52권4호
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    • pp.1149-1167
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    • 2015
  • We get a theorem which shows the existence of at least four $2{\pi}$-periodic weak solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity. We obtain this result by using the variational method, the critical point theory induced from the limit relative category theory.

EXISTENCE THEOREM FOR NON-ABELIAN VORTICES IN THE AHARONY-BERGMAN-JAFFERIS-MALDACENA THEORY

  • Zhang, Ruifeng;Zhu, Meili
    • 대한수학회보
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    • 제54권3호
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    • pp.737-746
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    • 2017
  • In this paper, we discuss the existence theorem for multiple vortex solutions in the non-Abelian Chern-Simons-Higgs field theory developed by Aharony, Bergman, Jafferis, and Maldacena, on a doubly periodic domain. The governing equations are of the BPS type and derived by Auzzi and Kumar in the mass-deformed framework labeled by a continuous parameter. Our method is based on fixed point method.