Browsing by Author "Yu, CJ"

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An algorithm to approach invariant curves
(2001-02-01)
Yu, CJ
;
Lee, JE
;
應用數學系
;
Department of Applied Mathematics
We develop an algorithm to identify invariant curves efficiently. In dynamical systems, it helps do continuations of branches of quasi-periodic solutions smoothly in bifurcation diagrams. Several examples are demonstrated to provide the numerical evidence for the versatility of the algorithm. (C) 2001 Elsevier Science B.V. All rights reserved.
Preparation and characterization of garnet phosphor nanoparticles derived from oxalate coprecipitation
(1999-05-01)
Chen, TM
;
Chen, SC
;
Yu, CJ
;
應用化學系
;
Department of Applied Chemistry
Terbium-activated Y3Al5O12 (YAG:Tb) phosphor nanoparticles with homogeneous grain size and crystallinity have been prepared at 1000 degrees C by heat treatment of a metal oxalate precursor derived from an alkaline coprecipitation route, The diffraction profile of as-prepared YAG:Tb nanoparticles can be indexed as a garnet structure and exhibits peak broadening phenonmenon, as revealed by X-ray diffraction (XRD) data. Grains of YAG:Tb nanoparticles appear to be irregularly spherical or elliptical and their sizes range from 60 to 70 nm, as indicated by morphological studies from bright-field transmission electron microscopy (TEM) imaging. Furthermore, the photoluminescence (PL) spectra of the (Y2.9Tb0.1)Al5O12 phase were investigated to determine the energy level of electron transition related to luminescence processes and the possible blue shift in the excitation or emission PL spectra, (C) 1999 Academic Press.
The invariant tori for the 2-mode damped, driven sine-Gordon ODE
(2003-02-01)
Yu, CJ
;
Lee, JE
;
應用數學系
;
Department of Applied Mathematics
In this paper, we perform our algorithm developed in [Yu & Lee, 2001] to present the entire branches of quasiperiodic solutions starting from the bifurcation points in the branches of periodic solutions in an interval of parameters for the 2-mode damped, driven sine-Gordon ODE.