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 54 for “"quasiperiodic"”.
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Exploring recurrences in quasiperiodic systems
… results to exploit the recurrence properties of quasiperiodic dynamical systems are presented by means of a two dimensional visualization technique, Recurrence Plots(RPs). Quasiperiodicity is the simplest form of dynamics exhibiting nontrivial recurrences, which are common in many nonlinear …
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Studies on Aperiodic and Quasiperiodic Crystals
… applied to one- and two-component aperiodic and quasiperiodic crystals. First the free energy as a function of density is calculated using an average environment approximation. Then this approximation is lifted and all particles are allowed to move and search out their local free energy minima. …
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Hollow condensates, topological ladders and quasiperiodic chains
… physics of one-dimensional quasiperiodic models, and end by focusing on the physics of localized edge modes and topological phases in quasi-one-dimensional ladder models. For all three topics we maintain a focus on experimentally accessible, physically realistic systems and …
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Phase transitions in quasiperiodic and driven optical lattices
Ultracold atoms in optical lattices are a versatile tool for precisely-controlled quantum simulation of a range of condensed matter phenomena. This thesis describes work to apply this tool in two areas: the simulation of quasicrystalline materials with a novel lattice geometry, and the use of …
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Exploiting quasiperiodic electromagnetic radiation using software-defined radio
… information. In video display units these are quasiperiodic: nearly periodic in the short term. Video-eavesdropping attacks on these, a main motivation for the use of TEMPEST shielded equipment in security-critical applications, have evolved little since first publicly demonstrated by van Eck …
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Double diffraction of quasiperiodic structures and bayesian image reconstruction
We study the spectrum of quasiperiodic structures by using quasiperiodic pulse trains. We find a single sharp diffraction peak when the dynamics of the incident wave matches the arrangement of the scatterers, that is, when the pulse train and the scatterers are in resonance. The maximum diffraction …
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Analysis of Linear and Nonlinear Quasiperiodic Metamaterials with Local Resonators
… linear and nonlinear topological phenomena of quasiperiodic metamaterials with the inclusion of local resonators using both analytical and numerical approaches. The proposed metamaterial is modeled as a spring-mass chain with each mass coupled to a single spring-mass resonator. In the first …
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Impact of morphology and scale on the physical properties of periodic/quasiperiodic micro- and nano- structures
A central pillar of real-world engineering is controlled molding of different types of waves (such as optical and acoustic waves). The impact of these wave-molding devices is directly dependent on the level of wave control they enable. Recently, artificially structured metamaterials have emerged, …
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Quantum simulation beyond periodicity: A theoretical study of the many-body and topological properties of quasiperiodic systems
… of truly quantum properties caused by their quasiperiodic atomic structure. In contrast, by shining intense laser light at specific angles onto ultracold atomic clouds, physicists are now able to create synthetic, defect-free, optical quasicrystalline lattices. These optical quasicrystals …
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An Exploration of Nonlinear Locally Resonant Metamaterials with Electromechanical and Topological elements
… control. Furthermore, metamaterials with quasiperiodic patterning have been shown to possess useful properties such as edge-localized modes. However, no works investigate the interaction between all these elements, especially in the nonlinear regime. In this work, we investigate a unique …
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Iterates of functions defined in terms of digital representations of the integers
… periodic-like behavior which we refer to as “quasiperiodic.” Conway conjectured that all RATS sequences in base 10 are either eventually periodic, or they eventually lead to the previously mentioned quasiperiodic sequence. In this thesis, we study RATS sequences in various bases. In …
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Breaking symmetries in ordered materials : spin polarized light transport in magnetized noncentrosymmetric 1D photonic crystals, and photonic gaps and fabrication of quasiperiodic structured materials from interference lithography
Effects of breaking various symmetries on optical properties in ordered materials have been studied. Photonic crystals lacking space-inversion and time-reversal symmetries were shown to display nonreciprocal dispersion relations, and to exhibit a remarkable set of symmetry-related properties. Even …
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Ultra-lightweight nanorelief networks : photopatterned microframes
… lithography were implemented for periodic and quasiperiodic bicontinuous polymer-air structures on the submicrometer length scale. For 3D quasiperiodically nanostructured materials, quasicrystalline phase mask lithography utilizing 2D quasiperiodic phase mask was successfully employed. 2D …
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Estimates for solutions to the Dysthe equation and numerical simulations of walking droplets in harmonic potentials
… vibrational forcing, a number of periodic and quasiperiodic trajectories emerge. In the limit of large vibrational forcing, the walker's trajectory becomes chaotic, but the resulting trajectories can be decomposed into portions of unstable quasiperiodic states. We then recast the …
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Application of Bifurcation Theory to Subsynchronous Resonance in Power Systems
… resulting in the creation of a two-period quasiperiodic subsynchronous oscillation, a two-torus attractor. On further increases of the compensation level, the quasiperiodic attractor collides with its basin boundary, resulting in the destruction of the attractor and its basin boundary in a …
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Numerical and Harmonic Analysis of Simplex Number Parity
… congruences in a single modulus, and are thus quasiperiodic. We therefore show that these "even index-sequences" are particular elements in an affine space of functions, providing a natural decomposition result. We then introduce the discrete Fourier transform to construct the periodic parts of …
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Quasicrystalline optical lattices for ultracold atoms
… large variety of potential landscapes, including quasiperiodic geometries. In recent years, optical lattices have become one of the most successful tools in the large-scale quantum simulation of condensed-matter problems. This study presents the first experimental realisation of a two-dimensional …
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A Newton Method For The Continuation Of Invariant Tori
… occur for continuous dynamical systems having quasiperiodic orbits in state space. The discretization of the continuous system in terms of a map is accomplished in terms of its flow function. Results for one-dimensional invariant tori in two and three-dimensional state space and for …
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Polyelectrolyte nanostructures formed in the moving contact line: fabrication, characterization and application
… templates for assembling amphiphile molecules. Quasiperiodic aligned and oriented nanostructures of polyelectrolyte molecules formed in moving droplets were utilized for fabrication of electrically conductive one-dimensional nanowires.
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Thermodynamics of Micellar Lyotropic Liquid Crystals
… space adjacent to FK morphologies. However, quasiperiodic ordering of micelles in LLC self-assembly is surprisingly unknown given the pervasiveness of the periodic approximants. This thesis elucidates the amphiphile structural motifs that stabilize FK phases and related DDQCs in aqueous LLCs. …
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