Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 84 for “"Vector fields"”.
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Visualization of Surfaces and 3D Vector Fields
Visualization of trivariate functions and vector fields with three components in scientific computation is still a hard problem in compute graphic area. People build their own visualization packages for their special purposes. And there exist some general-purpose packages (MatLab, Vis5D), but they …
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Conformal Vector Fields on Compact Riemannian Manifolds
Made available in DSpace on 2014-12-09T22:17:45Z (GMT). No. of bitstreams: 1 6812219.pdf: 1974392 bytes, checksum: 5c72a2f611b65dea6a2dacf605a251d9 (MD5) Previous issue date: 1968
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Equivariant dynamics and categories of equivariant vector fields
… for studying the dynamics of equivariant vector fields near relative equilibria. To overcome the lack of linearization at a relative equilibrium or the possible non-smoothness of the orbit space, we categorify the space of equivariant vector fields. A category where the objects are …
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Global Analysis of Meromorphic Vector Fields in the Plane
This work examines the behavior of meromorphic vector fields k(z) on the plane. The set of trajectories of k(z) whose maximal interval of definition is not all of R is called the incomplete set, and the analysis of k( z) then falls into two parts: the behavior of the incomplete set, and the …
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On the Classification Problem for the Control Vector Fields
Made available in DSpace on 2014-12-11T18:24:13Z (GMT). No. of bitstreams: 1 7511751.pdf: 1365102 bytes, checksum: 87d0ba24f8e73360de536a18086b6ebe (MD5) Previous issue date: 1974
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Vector fields during cosmic inflation: stability analysis and phenomenological signatures.
This thesis is based on the study of vector fields during cosmic inflation. Cosmic inflation has proven to be an accurate description of the very early universe, not only because of its success in resolving the classical problems of big bang cosmology, but also for introducing a natural mechanism …
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New methods for the integration of distributions of vector fields
… manifolds of involutive distributions of vector fields. In particular, it is focused on the important particular case of distributions generated by the vector fields associated to ordinary differential equations (ODEs). We introduce the concept of Cinf-structure, which generalizes the …
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Transversely Holomorphic Flows on 3-Manifolds and Geodesible Vector Fields
… the geodesibility of the projections of basic vector fields onto the normal bundle, in the regular and in the singular case. Finally the topology of the singularities of transversely meromorphic vector fields and meromorphic differential forms is studied.
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Bilinear Discretization of Integrable Quadratic Vector Fields: Algebraic Structure and Algebro-Geometric Solutions
In der Arbeit werden die Integrabilitätseigenschaften der Hirota- Kimura Diskretisierungen (HK-Diskretisierungen) von algebraisch integrablen Systemen gewöhnlicher Differentialgleichungen beschrieben. Dieser Diskretisierungs-ansatz, der zuerst von Kahan beschrieben wurde und später von Hirota und …
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Evolved neural network approximation of discontinuous vector fields in unit quaternion space (S3) for anatomical joint constraint
… performance). This work briefly explores Support Vector Machine neural networks as joint configuration classifiers that group joint configurations into invalid and valid. A far more detailed investigation is carried out into the use of topologically evolved feed forward neural networks for the …
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Finite element method using vector finite elements applied to eddy current problems
Vector fields found in electromagnetics are fundamentally different to vector fields found in other research areas such as structural mechanics. Electromagnetic vector fields possess different physical behaviour patterns and different properties in comparison to the other vector fields and therein …
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Lifts of Frobenius on Arithmetic Jet Spaces of Schemes
… may be viewed as arithmetic analogues of vector fields on manifolds. In particular, vector fields on the tangent bundle of a manifold, appearing for instance in Hamiltonian mechanics, have as arithmetic analogues lifts of Frobenius on arithmetic jet spaces J^1(X) of schemes. In this …
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Symplectic and complex foliations
… Hamiltonian functions for which Hamiltonian ""vector fields"" are holonomy invariant classes of vector fields in the transverse bundle, and this structure induces a holonomy invariant Poisson bracket structure on the space of basic functions."
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Submanifold Helicity
… a way to measure the coiling of flow lines in a vector field, computed by the formula [see formula in PDF file] . To start our exploration of helicity we begin with the topic of differential forms and their correspondence with vector fields in R 3 . Then we use the correspondence of forms and …
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Maximum principle, mean value operators and quasi boundedness in non-euclidean settings
… by families of locally Lipschitz-continuous vector fields in RN, generating metric spaces of Carnot- Carath´eodory type. The Carnot-Carath´eodory metric related to a family {Xj}j=1,...,m is the control distance obtained by minimizing the time needed to go from two points along piecewise …
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Global Existence of solutions to Reaction-Diffusion Systems with Mass Transport type Boundary Conditions
… boundary through mass transport. We proved if vector fields are locally Lipschitz functions and satisfies quasi-positivity conditions, and if initial data are component-wise bounded and non-negative then there exists T_max >0 such that our model has component-wise non-negative solution with T = …
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Dynamical and Riemannian properties of Engel structures
… stable in the sense of Cartan are line fields, contact structures, even contact structures and Engel structures. This thesis studies various aspects of the theory of Engel structures, i.e. maximally non-integrable smooth 2-plane fields on smooth 4-manifolds. First of all we analyze the …
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Some Extensions of Poincaré-Bendixson Theory Applied to a Resonant Converter.
… Poincaré-Bendixson theory to non-smooth vector fields. We discuss relevant control theory and the role of simulations.
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Passive Scalar Transport by Non-Smooth Incompressible Fluids: Mixing and Vanishing Viscosity
… on the behaviour of fluid flows characterised by vector fields of lower regularity—a crucial feature in understanding turbulent dynamics. Through careful examination of these flows in various function spaces, particularly Sobolev spaces, we develop new analytical tools and insights into three key …
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