2 resultados para degenerate Hopf bifurcation

em Bucknell University Digital Commons - Pensilvania - USA


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We have measured high-precision infrared parallaxes with the Canada-France-Hawaii Telescope for a large sample of candidate young (approximate to 10-100 Myr) and intermediate-age (approximate to 100-600 Myr) ultracool dwarfs, with spectral types ranging from M8 to T2.5. These objects are compelling benchmarks for substellar evolution and ultracool atmospheres at lower surface gravities (i.e., masses) than most of the field population. We find that the absolute magnitudes of our young sample can be systematically offset from ordinary (older) field dwarfs, with the young late-M objects being brighter and the young/dusty mid-L (L3-L6.5) objects being fainter, especially at J band. Thus, we conclude the "underluminosity" of the young planetary-mass companions HR 8799b and 2MASS J1207-39b compared to field dwarfs is also manifested in young free-floating brown dwarfs, though the effect is not as extreme. At the same time, some young objects over the full spectral type range of our sample are similar to field objects, and thus a simple correspondence between youth and magnitude offset relative to the field population appears to be lacking. Comparing the kinematics of our sample to nearby stellar associations and moving groups, we identify several new moving group members, including the first free-floating L dwarf in the AB Dor moving group, 2MASS J0355+11. Altogether, the effects of surface gravity (age) and dust content on the magnitudes and colors of substellar objects appear to be degenerate. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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There have been numerous councils throughout the Catholic Church?s history. From the First Council of Nicaea in 325 CE to Vatican II in 1962, only a few centuries have passed without any major church doctrinal change. Following hand in hand with changes in doctrine came the bifurcation of the Christian Church into the Roman CatholicChurch and the Orthodox Church. The first split came in 325 CE with Arianism. Arius of Alexandria and his followers did not agree with the Catholic Church?s viewpoint that the son, Jesus, should be on equal footing with the Father and the Holy Spirit. Constantine the Great brought the Arianism debate to the First Council of Nicaea,which declared Arianism a heretical religion. The following Catholic council?s decisions separated the two Churches even more, eventually creating the formal separation of the Church during the East-West Schism in the middle of the 11th century. Although the twoChurches constantly tried to unite, the Churches hit speed bumps along the way. Eventually, the 1274 Second Council of Lyons officially united the two Churches, even if only for an ephemeral time. At first glance, it might not seem that much resulted from the 1274 Second Council of Lyons. Almost immediately after the council?s ruling, the two Churches split again. Little is known as to why the 1274 Second Council of Lyons ultimately failed in its unification attempt. In this thesis, I will examine the churches of the Little Metropolis at Athens, Merbaka in the Argolid, and Agioi Theodoroi in Athens. In detailing the architectural features of these buildings, I will reconstruct the church building program in association with the 1274 Second Council of Lyons. I will also compare these churchesusing historical sources to keep the sociological, religious, political, and historical context accurate.