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Journals and Conferences
In 1980’s, Thurston established a combinatorial characterization for post-critically finite rational maps among post-critically finite branched coverings of the two sphere to itself. A completed proof was written by Douady and Hubbard in their paper [A. Douady, J.H. Hubbard, A proof of Thurston’s topological characterization of rational functions, Acta… (More)
A compact two-dimensional micro scanner with small volume, large deflection angles and high frequency is presented and the two-dimensional laser scanning is achieved by specular reflection. To achieve large deflection angles, the micro scanner excited by a piezoelectric actuator operates in the resonance mode. The scanning frequencies and the maximum… (More)
With the current increased widespread interest in the development and applications of micro/nanosatellites, it was found that we needed to design a small high accuracy satellite attitude determination system, because the star trackers widely used in large satellites are large and heavy, and therefore not suitable for installation on micro/nanosatellites. A… (More)
We prove that every bounded type Siegel disk of a rational map must be a quasi-disk with at least one critical point on its boundary. This verifies Douady-Sullivan’s conjecture in the case of bounded type rotation numbers.
Compared to the error factors of the Linear Array Digital Sun Sensor (DSS), those of the Area Array DSS are complicated and methods used for error compensation are not valid or simple enough. This paper presents the main error factors of the Area Array DSS and proposes an effective method to compensate them. The procedure of error compensation of Area Array… (More)
Let 0 < θ < 1 be an irrational number of bounded type. We prove that for any map in the family (ez + αz)e , α ∈ C, the boundary of the Siegel disk, with fixed point at the origin, is a quasicircle passing through one or both of the critical points.
We studied the rational realization problem for sub-hyperbolic semi-rational branched coverings. By using the shielding ring lemma, we are able to give a direct proof of CJS’s Theorem following the lines of the proof of Thurston’s Theorem given in the paper of Douady-Hubbard.
In this paper, we develop a method to verify David’s integrability condition for certain Beltrami differentials without using Petersen puzzles. Using this method and trans-quasiconformal surgery, we prove that for any David type rotation number, the boundary of the Siegel disk of fθ(z) = e 2πiθ sin(z) is a Jordan curve which passes through exactly two… (More)
An effective multisource energy harvesting system is presented as power supply for wireless sensor nodes (WSNs). The advanced system contains not only an expandable power management module including control of the charging and discharging process of the lithium polymer battery but also an energy harvesting system using the maximum power point tracking… (More)
A new tadalafil analogue was detected and isolated from a dietary supplement, the structure was elucidated by means of nuclear magnetic resonance (NMR) and mass spectroscopy. The compound was determined to be diethylaminopretadalafil, which might be derived from a precursor in the synthesis of tadalafil.