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 20 for “"symmetry analysis"”.
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Discrete symmetry analysis of partial differential equations for bond pricing
… the full automorphism group by constructing the symmetry generators' centralizer and Lie algebra's radical. The other is by P. Hydon which is based on the observation that the adjoint action of any point symmetry of a partial differential equation is an automorphism of the PDE's Lie point …
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A study of certain multi-dimensional partial differential equations using Lie symmetry analysis
… Boussinesq equations are obtained using the Lie symmetry method along with the simplest equation method. The solutions obtained are solitary waves and non-topological solution. Conservation laws for both equations are constructed using the new conservation theorem due to Ibragimov. Lie symmetry …
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The analysis of symmetric structures using group representation theory.
… language best suited to describing the symmetry properties of a structure, and a structural analysis can utilises Group Representation Theory to provide the most efficient and systematic method of exploiting the full symmetry properties of any symmetric structure. Group Representation …
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Phase equilibria, thermal expansion and symmetry relations within the HfO2-Ta2O5-TiO2-temperature system
… of atomic motifs with associated material symmetry analysis and (iv) calorimetry. The tools and methodologies developed herein are essential for the development of next generation high temperature materials. The extreme temperatures were achieved by utilizing a quadrupole lamp furnace (QLF) …
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Robust Event Detection and Retrieval in Surveillance Video
… with color histograms for tracking. We use shape symmetry analysis and color histograms to detect people carrying bags. Our experiments demonstrate the ability to search for instances of events according to specific attributes in large video sequences.
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Same-Sex Socio-Sexual Interactions Among a Group of Captive Bottlenose Dolphins (<i>Tursiops truncatus</i>)
… the existence of preferred associations. A symmetry analysis showed that most pairs shared a symmetric relationship, as only five of 22 dyads were significantly asymmetric. Evidence of association preferences and overall symmetry suggest that homosexual interactions in this population …
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Symbolic software for symmetry reduction and computation of invariant solutions of differential equations
… of a Maple-based, symbolic software package for symmetry reduction of differential equations and computation of symmetry-invariant solutions. The package developed in the current thesis is compatible with and can be viewed as an extension of the package GeM for symbolic symmetry analysis, …
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Analysis of Energy-Transport Models for semiconductors
… includes as variable the lattice temperature. A symmetry analysis approach to this model is performed. We determine the group classi cation of the model equations, collecting them into equivalence classes and fi nd the functional forms of the constitutive functions appearing in the equations. In …
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Polar frequency discriminators
… version are identified as a lack of component symmetry and a need to cross over two transmission lines while maintaining isolation. The accuracy due to lack of symmetry shows up analytically. effect on TOUCHSTONE, a micro-computer analysis package, is demonstrated as an excellent analysis tool …
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Shape analysis for digital representation of East Asian silk patterns
… in Korea and China. Through a comparative analysis, I identify that the pattern is a shared heritage of the region and proses that more holistic approach is required to understand its relation with geometric patterns from other cultures. One of the approach is symmetry analysis, a method …
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The BCS - BEC Crossover in Ultracold Fermion Gases
… the spontaneous breaking of global $U(1)$ gauge symmetry which underlies both quantum condensation phenomena. Recently much attention has been paid to this problem, since Feshbach resonances allow for an experimental implementation of crossover physics in cold fermion gases. The strong …
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Current-induced torques in ferromagnets at room temperature
… and measure the longitudinal DC voltage. From a symmetry analysis of the ferromagnetic resonance lineshape, the amplitudes and directions of the CITs parameterised by an effective magnetic field are accurately estimated. In Chapter 4, YIG samples of different thickness, capped by either Pt or Ta, …
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Ratchet dynamics in nonlinear Klein-Gordon systems
… motion based on resonances that explains earlier symmetry analysis of this phenomenon. We also found in the framework of the collective coordinate theory an explanation to the dynamics dependence on the damping. In the second part of the work we have presented and studied a novel design for a …
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Application of Lie symmetries to Solving Partial Differential Equations associated with the Mathematics of Finance
… algorithmic quantitative theory of Lie, the Lie symmetry analysis, to derive and solve the models associated with interest rate derivatives whose price dynamics comprise of partial differential equations in their set up. The interest rate derivative model that we consider is of great importance …
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Lie Analysis for Partial Differential Equations in Finance
… price of an European option. We apply the Lie analysis theory to solve the PDEs, we provide the group classification and use it to find the invariant analytical solutions, particularly the ones compatible with the terminal conditions.
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Power network and smart grids analysis from a graph theoretic perspective
… of complex network theory in their modelling, analysis, and synthesis. Though most of the previous studies in this area have focused on distributed control through well established protocols like synchronization and consensus, recently, a few fundamental concepts from graph theory have also …
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Directed transport without net bias in physics and biology
… fields. The directed transport is predicted by symmetry analysis and demonstrated by direct numerical simulation. The resulting 'magnetic micropump', unlike other transport methods, requires only minor modification of the basic atom wire configuration. Molecular motors also generate directed …
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Directed transport without net bias in physics and biology
… fields. The directed transport is predicted by symmetry analysis and demonstrated by direct numerical simulation. The resulting 'magnetic micropump', unlike other transport methods, requires only minor modification of the basic atom wire configuration. Molecular motors also generate directed …
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An articulated drill and hybrid tracking navigation system for orthopaedic surgery
… evaluative experiments in sawbones. 3D geometric analysis of the shape of the cut area experiment was done. The analysis of results confirmed that the tracking system is able to guide the articulated drill inside femur, in which a deviation from cut area and outline of femoral stem from navigation …
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On Symmetry of Multiple Self-Consistent-Field Hartree–Fock Solutions
… ground and excited states. In this thesis, an analysis method based on symmetry via group and representation theories is first developed for the systematic classification of multiple HF solutions. The necessity of this method is then illustrated via an examination of the many low-lying HF …