• 한국콘텐츠학회논문지
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• 제7권12호
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• pp.322-332
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• 2007

프랙탈의 특성에 알맞은 변형 방법을 고려하였다. IFS 프랙탈에서 점의 위치 특성은 공간적 좌표뿐만 아니라 코드에 의해서도 표현된다. 코드는 프랙탈 내에서의 점의 주소로 볼 수 있는데, 코드값을 바꾸어 생기는 점의 이동에 프랙탈적 특성이 있으므로, 코드의 정보를 이용한 세 가지 변형 방법을 제안하였다. 즉, 한점의 이동에 사용될 벡터로서 1) 코드 변환을 통해 얻어지는 다른 점에서의 벡터장 값을 이용하는 방법과 2) 코드 정보를 활용하여 변위 벡터를 정하는 방법을 구현하여 본 결과, 연속적 변형의 특징과 프랙탈적 특징을 모두 갖는 변형을 얻을 수 있었다. 또한 3) 변형이 가해질 영역을 코드를 활용하여 제한함으로써, 고사리의 경우, 보다 자연물에 적합한 변형을 얻을 수 있었다.

• 대한수학회보
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• 제58권5호
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• pp.1109-1127
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• 2021

We study the long-term dynamics for a family of incompressible three-dimensional Leray-α-like models that employ the spectral fractional Laplacian operators. This family of equations interpolates between incompressible hyperviscous Navier-Stokes equations and the Leray-α model when varying two nonnegative parameters 𝜃₁ and 𝜃₂. We prove the existence of a finite-dimensional global attractor for the continuous semigroup associated to these models. We also show that an operator which projects the weak solution of Leray-α-like models into a finite-dimensional space is determining if it annihilates the difference of two "nearby" weak solutions asymptotically, and if it satisfies an approximation inequality.

• Steel and Composite Structures
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• 제6권2호
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• pp.87-101
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• 2006

The deformation and dynamic behavior mechanism of submerged shell-like lattice structures with membranes are in principle of a non-conservative nature as circulatory system under hydrostatic pressure and disturbance forces of various types, existing in a marine environment. This paper deals with a characteristic analysis on quasi-periodic and chaotic behavior of a circular arch under follower forces with small disturbances. The stability region chart of the disturbed equilibrium in an excitation field was calculated numerically. Then, the periodic and chaotic behaviors of a circular arch were investigated by executing the time histories of motion, power spectrum, phase plane portraits and the Poincare section. According to the results of these studies, the state of a dynamic aspect scenario of a circular arch could be shifted from one of quasi-oscillatory motion to one of chaotic motion. Moreover, the correlation dimension of fractal dynamics was calculated corresponding to stochastic behaviors of a circular arch. This research indicates the possibility of making use of the correlation dimension as a stability index.

• BMB Reports
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• 제48권12호
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• pp.677-684
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• 2015

Cardiovascular function is regulated by the rhythmicity of circadian, infradian and ultradian clocks. Specific time scales of different cell types drive their functions: circadian gene regulation at hours scale, activation-inactivation cycles of ion channels at millisecond scales, the heart's beating rate at hundreds of millisecond scales, and low frequency autonomic signaling at cycles of tens of seconds. Heart rate and rhythm are modulated by a hierarchical clock system: autonomic signaling from the brain releases neurotransmitters from the vagus and sympathetic nerves to the heart's pacemaker cells and activate receptors on the cell. These receptors activating ultradian clock functions embedded within pacemaker cells include sarcoplasmic reticulum rhythmic spontaneous Ca²⁺ cycling, rhythmic ion channel current activation and inactivation, and rhythmic oscillatory mitochondria ATP production. Here we summarize the evidence that intrinsic pacemaker cell mechanisms are the end effector of the hierarchical brain-heart circadian clock system.