Browsing Mathematics by Title
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Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations
(American Physical Society, 2015)A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behavior is affected by the layer geometry. We identify the effect of sharp variations of the layer thickness, which is separate ... 
Dual Trigger of Transverse Oscillations in a Prominence by EUV Fast and Slow Coronal Waves: SDO/AIA and STEREO/EUVI Observations
(American Astronomical Society / IOP Publishing, 2012)We analyze flareassociated transverse oscillations in a quiescent solar prominence on 2010 September 89. Both the flaring active region and the prominence were located near the west limb, with a favorable configuration ... 
Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation
(Springer Verlag, 2011)We consider the dynamics of small networks of coupled cells. We usually assume asymmetric inputs and no global or local symmetries in the network and consider equivalence of networks in this setting; that is, when two ... 
Dynamics of filaments of scroll waves
(World Scientific, 2014)The following sections are included: A Brief History and Motivation; WaveParticle Duality of Spiral Waves; Perturbative Dynamics of Scrolls, and Tension of Filaments; Scroll Wave Turbulence; Rigidity of Scroll Filaments: ... 
Dynamics of the nearly parametric pendulum
(Elsevier, 2011) 
Dynamics of two laterally coupled semiconductor lasers: strong and weakcoupling theory.
(American Physical Society, 2008)The stability and nonlinear dynamics of two semiconductor lasers coupled side to side via evanescent waves are investigated by using three different models. In the compositecavity model, the coupling between the lasers ... 
Dynamics on networks of cluster states for globally coupled phase oscillators
(Society for Industrial and Applied Mathematics, 2007)Systems of globally coupled phase oscillators can have robust attractors that are heteroclinic networks. We investigate such a heteroclinic network between partially synchronized states where the phases cluster into three ... 
Effective diffusion of scalar fields in a chaotic flow
(American Institute of Physics, 2008)The advection of a tracer field in a fluid flow can create complex scalar structures and increase the effect of weak diffusion by orders of magnitude. One tool to quantify this is to measure the flux of scalar across contour ... 
Effects of frozen soil on soil temperature, spring infiltration, and runoff: results from the PILPS 2(d) experiment at Valdai, Russia
(American Meteorological Society, 20091218)The Project for Intercomparison of LandSurface Parameterization Schemes phase 2(d) experiment at Valdai, Russia, offers a unique opportunity to evaluate land surface schemes, especially snow and frozen soil parameterizations. ... 
An Elementary Proof of the Simplicity of the Mathieu Groups M11 and M23
(Mathematical Association of America (MAA), 1995) 
Elliptic behaviour in the sawtooth standard map
(Elsevier, 1997)This paper examines the standard map with sawtooth nonlinearity when the eigenvalues of the Jacobian lie on the unit circle. This is an areapreserving map of the torus to itself that is linear except on a line on which ... 
Emergence and maintenance of functional modules in signaling pathways
(BioMed Central, 2007)Background: While detection and analysis of functional modules in biological systems have received great attention in recent years, we still lack a complete understanding of how such modules emerge. One theory is that ... 
Encoding via conjugate symmetries of slow oscillations for globally coupled oscillators
(American Physical Society, 2004)We study properties of the dynamics underlying slow cluster oscillations in two systems of five globally coupled oscillators. These slow oscillations are due to the appearance of structurally stable heteroclinic connections ... 
Energycrossing number relations for braided magnetic fields
(American Physical Society, 1993)This Letter derives lower bounds on the energy of braided magnetic fields, based on crossing number techniques pioneered by Freedman and He. Mean crossing numbers are defined for magnetic fields inside a cylinder; for ... 
Envelope quasisolitons in dissipative systems with crossdiffusion
(American Physical Society, 2011)We consider twocomponent nonlinear dissipative spatially extended systems of reactioncrossdiffusion type. Previously, such systems were shown to support "quasisoliton" pulses, which have a fixed stable structure but can ... 
Equitability revisited: why the 'equitable threat score' is not equitable
(American Meteorological Society, 2010)In the forecasting of binary events, verification measures that are “equitable” were defined by Gandin and Murphy to satisfy two requirements: 1) they award all random forecasting systems, including those that always issue ... 
Erroneous arctic temperature trends in the ERA40 reanalysis: A closer look
(American Meteorological Society, 2011)Atmospheric reanalyses can be useful tools for examining climate variability and change; however, they must be used cautiously because of timevarying biases that can induce artificial trends. This study explicitly documents ... 
Error bounds in the gap metric for dissipative balanced approximations
(Elsevier, 2013)We derive an error bound in the gap metric for positive real balanced truncation and positive real singular perturbation approximation. We prove these results by working in the context of dissipative drivingvariable ... 
Estimates of past and future ozone trends from multimodel simulations using a flexible smoothing spline methodology
(American Geophysical Union, 2010)A novel additive model analysis of multimodel trends is presented. The approach is motivated by, and particularly suited to, the analysis of multimodel time series of varying length. This Time series Additive Model (TSAM) ... 
The evaluation of directionally writhing polymers
(arXiv.org, 2010)We discuss the appropriate techniques for modelling the geometry of open ended elastic polymer molecules. The molecule is assumed to have fixed endpoints on a boundary surface. In particular we discuss the concept of the ...