• 제목/요약/키워드: periodic point class

검색결과 15건 처리시간 0.019초

New phenomena associated with the nonlinear dynamics and stability of autonomous damped systems under various types of loading

  • Sophianopoulos, Dimitris S.
    • Structural Engineering and Mechanics
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    • 제9권4호
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    • pp.397-416
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    • 2000
  • The present study deals with the nonlinear dynamics and stability of autonomous dissipative either imperfect potential (limit point) systems or perfect (bifurcational) non-potential ones. Through a fully nonlinear dynamic analysis, performed on two simple 2-DOF models corresponding to the classes of systems mentioned above, and with the aid of basic definitions of the theory of nonlinear dynamical systems, new important phenomena are revealed. For the first class of systems a third possibility of postbuckling dynamic response is offered, associated with a point attractor on the prebuckling primary path, while for the second one the new findings are chaos-like (most likely chaotic) motions, consecutive regions of point and periodic attractors, series of global bifurcations and point attractor response of always existing complementary equilibrium configurations, regardless of the value of the nonconservativeness parameter.

Five-year investigation of a large orthodontic patient population at a dental hospital in South Korea

  • Piao, Yongxu;Kim, Sung-Jin;Yu, Hyung-Seog;Cha, Jung-Yul;Baik, Hyoung-Seon
    • 대한치과교정학회지
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    • 제46권3호
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    • pp.137-145
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    • 2016
  • Objective: The purpose of this study was to investigate the characteristics of orthodontic patients at Yonsei Dental Hospital from 2008 to 2012. Methods: We evaluated Angle's classification from molar relationships, classification of skeletal malocclusion from the A point-nasion-B point angle, facial asymmetry, and temporomandibular joint disorders (TMDs) from the records of 7,476 patients who received an orthodontic diagnosis. The orthognathic surgery rate, extraction rate, and extraction sites were determined from the records of 4,861 treated patients. Results: The patient number increased until 2010 and gradually decreased thereafter. Most patients were aged 19-39 years, with a gradual increase in patients aged ${\geq}40years$. Angle's Class I, Class II divisions 1 and 2, and Class III malocclusions were observed in 27.7%, 25.6%, 10.6%, and 36.1% patients, respectively, with a gradual decrease in the frequency of Class I malocclusion. The proportion of patients with skeletal Class I, Class II, and Class III malocclusions was 34.3%, 34.3%, and 31.4%, respectively, while the prevalence of facial asymmetry and TMDs was 11.0% and 24.9%, respectively. The orthognathic surgery rate was 18.5%, with 70% surgical patients exhibiting skeletal Class III malocclusion. The overall extraction rate among nonsurgical patients was 35.4%, and the maxillary and mandibular first premolars were the most commonly extracted teeth. Conclusions: The most noticeable changes over time included a decrease in the patient number after 2010, an increase in the average patient age, and a decrease in the frequency of Angle's Class I malocclusion. Our results suggest that periodic characterization is necessary to meet the changing demands of orthodontic patients.

TAME DIFFEOMORPHISMS WITH C1-STABLE PROPERTIES

  • Lee, Manseob
    • 충청수학회지
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    • 제21권4호
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    • pp.519-525
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    • 2008
  • Let f be a diffeomorphisms of a compact $C^{\infty}$ manifold, and let p be a hyperbolic periodic point of f. In this paper, we prove that if generically, f is tame diffeomorphims then the following conditions are equivalent: (i) f is ${\Omega}$-stable, (ii) f has the $C^1$-stable shadowing property (iii) f has the $C^1$-stable inverse shadowing property.

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C1-STABLE INVERSE SHADOWING CHAIN COMPONENTS FOR GENERIC DIFFEOMORPHISMS

  • Lee, Man-Seob
    • 대한수학회논문집
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    • 제24권1호
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    • pp.127-144
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    • 2009
  • Let f be a diffeomorphism of a compact $C^{\infty}$ manifold, and let p be a hyperbolic periodic point of f. In this paper we introduce the notion of $C^1$-stable inverse shadowing for a closed f-invariant set, and prove that (i) the chain recurrent set $\cal{R}(f)$ of f has $C^1$-stable inverse shadowing property if and only if f satisfies both Axiom A and no-cycle condition, (ii) $C^1$-generically, the chain component $C_f(p)$ of f associated to p is hyperbolic if and only if $C_f(p)$ has the $C^1$-stable inverse shadowing property.

ATM 기반 광 가입자망에서 멀티클래스 트래픽의 효율적인 전송을 위한 윈도우 기반 허락 분배 기법 (A Window-Based Permit Distribution Scheme to Support Multi-Class Traffic in ATM Passive Optical Networks)

  • 이호숙;은지숙;노선식;김영천
    • 대한전자공학회논문지TC
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    • 제37권1호
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    • pp.12-22
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    • 2000
  • 본 논문에서는 트리 구조의 가입자 전달망인 APON(ATM passive optical network)에서 멀티클래스트래픽의 효율적인 전송을 위한 윈도우 기반 허락 분배 기법을 제안하였다. 제안된 기법은 상향 셀들의 다중화를 위한 허락 분배 과정에서 ATM 트래픽 클래스별 전송 특성을 고려함을써 각 트래픽 유형별 QoS를 보장할 수 있도록 설계되었다. 이를 위하여 상향 프레임의 주기적 요구 블록 (RAU)에 트래픽 유형별 요구 필드를 두고, 윈도우 기반 허락 분배 알고리즘을 수행하여 각 트래픽의 특성을 고려한 전송 허락이 이루어지도록 한다. 엄격한 전송 지연 성능을 요구하는 CBR/VBR 트래픽에 대해서는 Running-window 개념을 사용한 최소화할 수 있도록 하고, ABR 트래픽에 대해서는 CBR/VBR 허락 분배 후 여분 대역을 우선적으로 할당함으로써 전송 지연을 줄인다. 또한 대역 할당 후 남은 대역은 UBR 트래픽에게도 예약이 가능하도록 함으로써 망 자원의 이용률을 높일 수 있도록 하였다. 시뮬레이션을 통해 제안된 기법의 성능이 기존 프로토콜에 비해 우수함을 보였다.

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