4,374 research outputs found

    General solution for Hamiltonians with extended cubic and quartic potentials

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    We integrate with hyperelliptic functions a two-particle Hamiltonian with quartic potential and additionnal linear and nonpolynomial terms in the Liouville integrable cases 1:6:1 and 1:6:8.Comment: LaTex 2e. To appear, Theoretical and Mathematical Physics 200

    Completeness of the cubic and quartic H\'enon-Heiles Hamiltonians

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    The quartic H\'enon-Heiles Hamiltonian H=(P12+P22)/2+(Ω1Q12+Ω2Q22)/2+CQ14+BQ12Q22+AQ24+(1/2)(α/Q12+β/Q22)−γQ1H = (P_1^2+P_2^2)/2+(\Omega_1 Q_1^2+\Omega_2 Q_2^2)/2 +C Q_1^4+ B Q_1^2 Q_2^2 + A Q_2^4 +(1/2)(\alpha/Q_1^2+\beta/Q_2^2) - \gamma Q_1 passes the Painlev\'e test for only four sets of values of the constants. Only one of these, identical to the traveling wave reduction of the Manakov system, has been explicitly integrated (Wojciechowski, 1985), while the three others are not yet integrated in the generic case (α,β,γ)≠(0,0,0)(\alpha,\beta,\gamma)\not=(0,0,0). We integrate them by building a birational transformation to two fourth order first degree equations in the classification (Cosgrove, 2000) of such polynomial equations which possess the Painlev\'e property. This transformation involves the stationary reduction of various partial differential equations (PDEs). The result is the same as for the three cubic H\'enon-Heiles Hamiltonians, namely, in all four quartic cases, a general solution which is meromorphic and hyperelliptic with genus two. As a consequence, no additional autonomous term can be added to either the cubic or the quartic Hamiltonians without destroying the Painlev\'e integrability (completeness property).Comment: 10 pages, To appear, Theor.Math.Phys. Gallipoli, 34 June--3 July 200

    Integration of a generalized H\'enon-Heiles Hamiltonian

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    The generalized H\'enon-Heiles Hamiltonian H=1/2(PX2+PY2+c1X2+c2Y2)+aXY2−bX3/3H=1/2(P_X^2+P_Y^2+c_1X^2+c_2Y^2)+aXY^2-bX^3/3 with an additional nonpolynomial term μY−2\mu Y^{-2} is known to be Liouville integrable for three sets of values of (b/a,c1,c2)(b/a,c_1,c_2). It has been previously integrated by genus two theta functions only in one of these cases. Defining the separating variables of the Hamilton-Jacobi equations, we succeed here, in the two other cases, to integrate the equations of motion with hyperelliptic functions.Comment: LaTex 2e. To appear, Journal of Mathematical Physic

    Float zone experiments in space

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    The molten zone/freezing crystal interface system and all the mechanisms were examined. If Marangoni convection produces oscillatory flows in the float zone of semiconductor materials, such as silicon, then it is unlikely that superior quality crystals can be grown in space using this process. The major goals were: (1) to determine the conditions for the onset of Marangoni flows in molten tin, a model system for low Prandtl number molten semiconductor materials; (2) to determine whether the flows can be suppressed by a thin oxide layer; and (3) based on experimental and mathematical analysis, to predict whether oscillatory flows will occur in the float zone silicon geometry in space, and if so, could it be suppressed by thin oxide or nitride films. Techniques were developed to analyze molten tin surfaces in a UHV system in a disk float zone geometry to minimize buoyancy flows. The critical Marangoni number for onset of oscillatory flows was determined to be greater than 4300 on atomically clean molten tin surfaces

    On reductions of some KdV-type systems and their link to the quartic He'non-Heiles Hamiltonian

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    A few 2+1-dimensional equations belonging to the KP and modified KP hierarchies are shown to be sufficient to provide a unified picture of all the integrable cases of the cubic and quartic H\'enon-Heiles Hamiltonians.Comment: 12 pages, 3 figures, NATO ARW, 15-19 september 2002, Elb

    From centralization to decentralization in Chinese higher education

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    Since the late 1970’s, the Chinese government has been gradually changing its traditional policy for providing higher education and has begun to emphasize the comprehensiveness of the universities. Interdisciplinary cooperation and the synergization of resources are being promoted, and institutional autonomy is gradually increasing. Schools and faculties have been restored in universities, and new research institutions, research schools, research centers and the like have been established. From a unitary three-level model— university/department/ teaching and research group—before the reform, the organizational structures of the universities have developed a new organizational structure that is more flexible and more open. This more adaptable structure is intended to meet the developmental demands of modern universities with close links being created between their work and regional economic and social development. China has moved from a very centralized educational system in which the main decisions were taken by the central government to a decentralized educational system. This reform is also taking place within the institutions of higher education, and their internal organizational structure has also become more decentralized

    Person prominence and relation prominence : on the typology of syntactic relations with particular reference to Yucatec Maya

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    PM3969, ISO 639-3 : -, Maya language--Syntax1. Introduction 2. Theoretical background 2.1. The cognitive structure of a situation 2.1.1. Situation, situation core, and participants 2.1.2. Participant features 2.1.3. Participant roles 2.2. Syntactic functions 2.3. Correlation between syntactic functions and participant roles 3. Prominence in typology 3.1. Subject prominence vs. topic prominence 3.2. Reference domination vs. role domination 3.3. Person prominence vs. relation prominence 4. Languages investigated 4.1. Yucatec Maya 4.2. Samoan 4.3. Maori 4.4. Tamil 4.5. Lezgian 4.6. Korean 5. Prominence in syntactic constructions 5.1. Introduction 5.2. Higher predicates 5.2.1. Modal predicates 5.2.2. Phase predicates 5.2.3. Tense, aspect, and aktionsart auxiliaries 5.3. Possessive constructions 5.3.1. Part-whole relations 5.3.2. Ascription of possession 5.3.3. Predication of belonging 5.3.4. Ascription of property to body part 5.3.5. Affection of possessor 5.4. Mental, sensual, and emotional states and processes 5.4.1. Preliminaries 5.4.2. Sensual states and processes 5.4.3. Emotional states and processes 5.4.4. Mental states and processes 5.4.5. Conclusion 5.5. Benefactive 6. Relation prominence in YM: a historical-comparative perspective 6.1. Colonial Yucatec Maya 6.1.1. Preliminaries 6.1.2. Modal predicates 6.1.3. Phase predicates 6.1.4. Aspect auxiliaries 6.1.5. Conclusion 6.2. Cognate languages 6.2.1. Preliminaries 6.2.2. Higher predicates 6.2.3. Possessive constructions 6.2.4. Mental, sensual and emotional states and processes 6.2.5. Benefactive 6.2.6. Conclusion 7. Typology 7.1. Empirical generalizations 7.1.1. The domain of possession 136 7.1.2. Higher predicates 7.1.3. Participant roles 7.2. Grammatical correlations 7.3. Conclusion Indices Abbreviations Morpheme glosses & syntactic categories Languages Sources of data Bibliographical references LIST OF FIGURES LIST OF TABLE

    Autonomy vs. control: Quality assurance and governmental policy in Flanders

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    Higher education in Flanders has seen some major changes in the 1990s. One of the key elements of the new higher education regulations was the quality assessment system. This exemplified best the government's policy of granting all institutions of higher education autonomy, making them responsible for their policies, while still keeping the quality of higher education somewhat under governmental control. In this article, we focus on the tension between the government's aim of improving and controlling the quality of higher education and universities ' concern for their autonomy. We describe the Flemish government's view on issues of quality in higher education and confront these with an account on the basis of case studies of how the quality assurance system was actually implemented in universities. We conclude that the model of the "market state" or the "evaluative state" is only realised partially in Flanders. The government is still interventionist when it comes to key policy issue
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