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Dynamic Neuromechanical Sets For Locomotion, Aravind Sundararajan
Dynamic Neuromechanical Sets For Locomotion, Aravind Sundararajan
Doctoral Dissertations
Most biological systems employ multiple redundant actuators, which is a complicated problem of controls and analysis. Unless assumptions about how the brain and body work together, and assumptions about how the body prioritizes tasks are applied, it is not possible to find the actuator controls. The purpose of this research is to develop computational tools for the analysis of arbitrary musculoskeletal models that employ redundant actuators. Instead of relying primarily on optimization frameworks and numerical methods or task prioritization schemes used typically in biomechanics to find a singular solution for actuator controls, tools for feasible sets analysis are instead developed …
Role Of Influence In Complex Networks, Nur Dean
Role Of Influence In Complex Networks, Nur Dean
Dissertations, Theses, and Capstone Projects
Game theory is a wide ranging research area; that has attracted researchers from various fields. Scientists have been using game theory to understand the evolution of cooperation in complex networks. However, there is limited research that considers the structure and connectivity patterns in networks, which create heterogeneity among nodes. For example, due to the complex ways most networks are formed, it is common to have some highly “social” nodes, while others are highly isolated. This heterogeneity is measured through metrics referred to as “centrality” of nodes. Thus, the more “social” nodes tend to also have higher centrality.
In this thesis, …
A Spider's Web Of Doughnuts, Daniel Stoertz
A Spider's Web Of Doughnuts, Daniel Stoertz
Graduate Research Theses & Dissertations
This dissertation studies an interplay between the dynamics of iterated quasiregular map-
pings and certain topological structures. In particular, the relationship between the Julia set
of a uniformly quasiregular mapping f : R 3 → R 3 and the fast escaping set of its associated
Poincaré linearizer is explored. It is shown that, if the former is a Cantor set, then the latter
is a spider’s web. A new class of uniformly quasiregular maps is constructed to which this
result applies. Toward this, a geometrically self-similar Cantor set of genus 2 is constructed.
It is also shown that for any …