Brown University Theses and Dissertations

Brown University Library archives dissertations in accordance with the Brown Graduate School policy.

For dissertations published prior to 2008, please consult the following Dissertation LibGuide

Refine Your Search

Selected Facets
KeywordDynamics Cancel selected facet

Items

Items (1-11) out of 11 results

A family of projectively natural polygon iterations

Description:
Polygon iterations, which can be thought of as discrete dynamical systems on the space of polygons, provide an abundance of interesting discrete dynamical systems in ...
Copyright Date:
2017
Contributors:
Le, Quang Nhat (creator) Schwartz, RIchard (Advisor) Kenyon, RIchard (Reader) Robins, Sinai (Reader) Brown University. Department of Mathematics (sponsor)
Genre:
theses
Keywords:
Dynamics Geometry, Projective Polygon iterations
Full Record

Existence and Stability of Spatially Localized Planar Patterns

Description:
Spatially localized structures, in which a spatially oscillatory pattern on a finite spatial range connects to a trivial homogeneous solution outside this range, have been ...
Copyright Date:
2015
Contributors:
Makrides, Elizabeth (creator) Sandstede, Bjorn (Director) Beck, Margaret (Reader) Menon, Govind (Reader) Brown University. Applied Mathematics (sponsor)
Genre:
theses
Keywords:
dynamical systems pattern formation PDEs spatial dynamics Evans function Dynamics Pattern formation (Physical sciences)
Full Record

Fast Pulses with Oscillatory Tails in the FitzHugh-Nagumo System

Description:
The FitzHugh-Nagumo equations are known to admit fast traveling pulses that have monotone tails and arise as the concatenation of Nagumo fronts and backs in ...
Copyright Date:
2016
Contributors:
Carter, Paul A (creator) Sandstede, Bjorn (Director) Holmer, Justin (Reader) Strauss, Walter (Reader) Brown University. Mathematics (sponsor)
Genre:
theses
Keywords:
dynamical systems partial differential equations singular perturbation theory traveling waves FitzHugh-Nagumo Dynamics Differential equations, Partial
Full Record

From Nucleotide to Nucleosome: A Kinetic and Calorimetric Study of DNA

Description:
DNA stores the genetic information of almost all organisms and its integrity and stability are essential to life. Unfortunately, mutations can occur within the genome ...
Copyright Date:
2016
Contributors:
Huang, Ji (creator) Delaney, Sarah (Director) Sello, Jason (Reader) Seto, Christopher (Reader) Brown University. Chemistry (sponsor)
Genre:
theses
Keywords:
kinetics DNA Dynamics Thermodynamics
Available to Brown-affiliated users only
Full Record

Modeling Intracellular Transport during Messenger RNA Localization in Xenopus Oocytes

Description:
Many organisms need to establish spatial orientation during early development. In egg cells (oocytes) of the frog Xenopus laevis, spatial differentiation is achieved by localization ...
Copyright Date:
2017
Contributors:
Ciocanel, Maria-Veronica (creator) Sandstede, Bjorn (Advisor) Maxey, Martin (Reader) McKinley, Scott (Reader) Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Keywords:
Developmental biology Differential equations, Partial mathematical modelling Dynamics Xenopus laevis Fluorescence microscopy Parameter estimation
Full Record

Noisy Stabilized Kuramoto-Sivashinsky: A modelfor studying state selection in far fromequilibrium systems

Description:
In this thesis we address the question of pattern selection in spatially extendedsystems in the presence of stochastic noise. As a model equation, we study ...
Copyright Date:
2011
Contributors:
Obeid, Dina N (creator) Kosterlitz, J. Michael (Director) Pelcovits, Robert (Reader) Ling, Xinsheng Sean (Reader) Guralnik, Gerald (Reader) Brown University. Physics (sponsor)
Genre:
theses
Keywords:
Nonequilibrium Pattern formation dynamical system Pattern formation (Physical sciences) Dynamics
Full Record

Non-perturbative Methods in Quantum Field Theory

Description:
In this thesis we first study various aspects of stationary distributions of certain deterministic and stochastic dynamical systems. We look at the 30 year old ...
Copyright Date:
2011
Contributors:
Pehlevan, Cengiz (creator) Guralnik, Gerald (Director) Dell'Antonio, Ian (Reader) Spradlin, Marcus (Reader) Brown University. Physics (sponsor)
Genre:
theses
Keywords:
Complex Langevin Equation Dynamical Systems AdS/CFT Correspondence Chiral Phase Transition Dynamics D-branes
Full Record

Oscillons Near Hopf Bifurcations of Planar Reaction Diffusion Equations

Description:
Oscillons are spatially localized, time-periodic structures that have been observed in many natural processes, often under temporally periodic forcing. Near Hopf bifurcations, such systems can ...
Copyright Date:
2014
Contributors:
McQuighan, Kelly Teresa (creator) Sandstede, Bjorn (Director) Menon, Govind (Reader) Dafermos, Constantine (Reader) Brown University. Applied Mathematics (sponsor)
Genre:
theses
Keywords:
dynamical systems pattern formation oscillons spatial dynamics localized radial structures geometric blow-up complex Ginzburg--Landau equation Dynamics
Full Record

Regular Polygon Surfaces and Renormalizable Rectangle Exchange Maps

Description:
We investigate two different topics in discrete mathematics: the geometry of piecewise-linear surfaces and the long-term behavior of discrete dynamical systems. A regular polygon surface ...
Copyright Date:
2018
Contributors:
Alevy, Ian (creator) Kenyon, Richard (Advisor) Menon, Govind (Reader) Schwartz, Richard (Reader) Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Keywords:
Dynamics Probability Discrete mathematics Geometry Statistical mechanics
Full Record

Rydberg Fingerprint Spectroscopy on Biomolecular Model Systems

Description:
Rydberg Fingerprint Spectroscopy (RFS) has been deftly applied to small molecules and shown exquisitely sensitive to global molecular structure. This has stimulated interest in its ...
Copyright Date:
2010
Contributors:
Bush, Joseph Caissie (creator) Weber, Peter (Director) Doll, Jimmie (Reader) Baird, James (Reader) Brown University. Chemistry (sponsor)
Genre:
theses
Keywords:
Rydberg IVR Photoelectrons Ionization Dynamics
Full Record

The Application of Biplanar Videoradiography to the Study of Kinematic and Kinetic Factors Associated with Non-Contact Deceleration

Description:
The studies presented in this dissertation describe and apply methods for using biplanar videoradiography to study dynamic in vivo knee motion. The techniques presented in ...
Copyright Date:
2012
Contributors:
Miranda, Daniel Leo (creator) Braden, Fleming (Director) Joseph, Crisco (Reader) Elizabeth, Brainerd (Reader) David, Laidlaw (Reader) Michael, Bey (Reader) Brown University. Biomedical Engineering (sponsor)
Genre:
theses
Keywords:
kinetics ACL injury biplanar videoradiography optical motion capture computed tomography CT motion capture biomechanics recreational athletes anatomical coordinate system ACS bone model three-dimensional 3-D jump-cut gender ACL reconstruction error accuracy markerless tracking marker-based tracking muscle activity quadriceps hamstring gastrocnemius EMG elongation excursion ground reaction force force plate surface interactions Biomedical engineering Kinematics Dynamics Anterior cruciate ligament Atlantic Coast Line Railroad Company Biomechanics Tomography American Colonization Society Bones--Models Three-dimensional imaging Sex Modeling Medical errors Algorithms Quadriceps muscle Hamstring muscle Electromyography Ground reaction force (Biomechanics)
Full Record

Items (1-11) out of 11 results