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

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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 …
Year:
2017
Contributor:
Le, Quang Nhat (creator)
Schwartz, RIchard (Advisor)
Kenyon, RIchard (Reader)
Robins, Sinai (Reader)
Brown University. Department of Mathematics (sponsor)
Genre:
theses
Subject:
Dynamics
Geometry, Projective
Polygon iterations
Collection:
Mathematics
Theses and Dissertations
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 …
Year:
2015
Contributor:
Makrides, Elizabeth (creator)
Sandstede, Bjorn (Director)
Beck, Margaret (Reader)
Menon, Govind (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
dynamical systems
pattern formation
PDEs
spatial dynamics
Evans function
Dynamics
Pattern formation (Physical sciences)
Collection:
Applied Mathematics
Theses and Dissertations
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 …
Year:
2016
Contributor:
Carter, Paul A (creator)
Sandstede, Bjorn (Director)
Holmer, Justin (Reader)
Strauss, Walter (Reader)
Brown University. Mathematics (sponsor)
Genre:
theses
Subject:
dynamical systems
partial differential equations
singular perturbation theory
traveling waves
FitzHugh-Nagumo
Dynamics
Differential equations, Partial
Collection:
Mathematics
Theses and Dissertations
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 …
Year:
2016
Contributor:
Huang, Ji (creator)
Delaney, Sarah (Director)
Sello, Jason (Reader)
Seto, Christopher (Reader)
Brown University. Chemistry (sponsor)
Genre:
theses
Subject:
kinetics
DNA
Dynamics
Thermodynamics
Collection:
Chemistry
Theses and Dissertations
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 …
Year:
2017
Contributor:
Ciocanel, Maria-Veronica (creator)
Sandstede, Bjorn (Advisor)
Maxey, Martin (Reader)
McKinley, Scott (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Developmental biology
Differential equations, Partial
mathematical modelling
Dynamics
Xenopus laevis
Fluorescence microscopy
Parameter estimation
Collection:
Applied Mathematics
Theses and Dissertations
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 …
Year:
2011
Contributor:
Obeid, Dina N (creator)
Kosterlitz, J. Michael (Director)
Pelcovits, Robert (Reader)
Ling, Xinsheng Sean (Reader)
Guralnik, Gerald (Reader)
Brown University. Physics (sponsor)
Genre:
theses
Subject:
Nonequilibrium
Pattern formation
dynamical system
Pattern formation (Physical sciences)
Dynamics
Collection:
Physics
Theses and Dissertations
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 …
Year:
2011
Contributor:
Pehlevan, Cengiz (creator)
Guralnik, Gerald (Director)
Dell'Antonio, Ian (Reader)
Spradlin, Marcus (Reader)
Brown University. Physics (sponsor)
Genre:
theses
Subject:
Complex Langevin Equation
Dynamical Systems
AdS/CFT Correspondence
Chiral Phase Transition
Dynamics
D-branes
Collection:
Physics
Theses and Dissertations
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 …
Year:
2014
Contributor:
McQuighan, Kelly Teresa (creator)
Sandstede, Bjorn (Director)
Menon, Govind (Reader)
Dafermos, Constantine (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
dynamical systems
pattern formation
oscillons
spatial dynamics
localized radial structures
geometric blow-up
complex Ginzburg--Landau equation
Dynamics
Collection:
Applied Mathematics
Theses and Dissertations
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 …
Year:
2018
Contributor:
Alevy, Ian (creator)
Kenyon, Richard (Advisor)
Menon, Govind (Reader)
Schwartz, Richard (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Dynamics
Probability
Discrete mathematics
Geometry
Statistical mechanics
Collection:
Applied Mathematics
Theses and Dissertations
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 …
Year:
2010
Contributor:
Bush, Joseph Caissie (creator)
Weber, Peter (Director)
Doll, Jimmie (Reader)
Baird, James (Reader)
Brown University. Chemistry (sponsor)
Genre:
theses
Subject:
Rydberg
IVR
Photoelectrons
Ionization
Dynamics
Collection:
Chemistry
Theses and Dissertations
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 …
Year:
2012
Contributor:
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
Subject:
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)
Collection:
Biology and Medicine
Biomedical Engineering
Theses and Dissertations
Full Record
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Items (1-11) out of 11 results