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Phase Clusters And Chimeras In Networks Of Kuramoto Oscillators With Inertia, Barrett N. Brister Aug 2020

Phase Clusters And Chimeras In Networks Of Kuramoto Oscillators With Inertia, Barrett N. Brister

Mathematics Dissertations

Modeling cooperative dynamics using networks of phase oscillators is a common practice for a wide spectrum of biological networks. Patterns of synchronized clusters are some of the most prevalent instances of such cooperative behavior, manifesting themselves in ways similar to groups of neurons firing together during epileptic seizures or Parkinson's tremors. Despite significant interest, the emergence and hysteretic transitions between stable clusters in oscillator networks have still not been fully understood. In particular, the celebrated Kuramoto model of phase oscillators is known to exhibit multiple spatio-temporal patterns, including co-existing clusters of synchrony and chimera states in which some oscillators form …


Formation Pathways In Brightest Cluster Galaxies: Measuring The Distribution Of Ages, Metallicities, And Hydrodynamics Of Stellar Populations, Priscilla E. Holguin West May 2020

Formation Pathways In Brightest Cluster Galaxies: Measuring The Distribution Of Ages, Metallicities, And Hydrodynamics Of Stellar Populations, Priscilla E. Holguin West

Physics

Brightest Cluster Galaxies (BCGs) are the most massive galaxies in the local universe and have had the full age of the universe to build. This makes their formation and evolution history particularly interesting as they offer a glimpse at potential evolutionary pathways for younger systems. We present the radial profile of ages, metallicities, and preliminary classification of companions to 23 BCGs observed using the SparsePak instrument on WIYN by running the STARLIGHT stellar population synthesis models. This analysis of the BCGs’ stellar populations is done by separating each BCG into different regions, and preliminary results of the stellar populations for …


Clustering And Classifying Geophysical Rock Properties Of The San Andreas Fault, Jared Bryan Apr 2020

Clustering And Classifying Geophysical Rock Properties Of The San Andreas Fault, Jared Bryan

Physics Capstone Projects

Borehole geophysical data provide important in situ observations for identifying and characterizing geologic and structural features in the subsurface. We perform an unsupervised classification of geophysical logs from the Sand Andreas Fault Observatory at Depth (SAFOD) borehole in order to define intervals of distinct geophysical properties. We focus on borehole geophysical data collected during Phase 3 drilling operations from 3.0-3.3 km measured depth, which encompasses the active trace of the San Andreas Fault. We use dimensionality reduction to increase the interpretability of the retrieved clusters, and we compare the performance of distance- and density-based clustering techniques. K-means clustering produces highly …


Digital Civil Turnover: A Targeted And Conceptual Scientific And Theoretical Approach, Sh. Ruzinazarov Apr 2020

Digital Civil Turnover: A Targeted And Conceptual Scientific And Theoretical Approach, Sh. Ruzinazarov

Review of law sciences

This article examines the role and importance of civilian science and a new trend in fundamental research in their priority areas. In it, based on the scientific direction of the digital economy, the conclusions and proposals on current problems of civil law are justified.