Browsing Mathematics by Title
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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 ... 
Dynamo action in the ABC flows using symmetries
(Taylor & Francis, 20130925)This paper concerns kinematic dynamo action by the 1:1:1 ABC flow, in the highly conducting limit of large magnetic Reynolds number Rm. The flow possesses 24 symmetries, with a symmetry group isomorphic to the group O24 ... 
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) 
Elevated risk of stillbirth in males: systematic review and metaanalysis of more than 30 million births
(BioMed Central, 2014)BACKGROUND: Stillbirth rates have changed little over the last decade, and a high proportion of cases are unexplained. This metaanalysis examined whether there are inequalities in stillbirth risks according to sex. METHODS: ... 
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 ... 
Emergent constraints on climatecarbon cycle feedbacks in the CMIP5 Earth system models
(American Geophysical Union (AGU), 20140512)An emergent linear relationship between the longterm sensitivity of tropical land carbon storage to climate warming (γLT) and the shortterm sensitivity of atmospheric carbon dioxide (CO2) to interannual temperature ... 
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 ... 
An Energy Conserving Restoration Scheme for the Shallow Water Equations.
(Wiley, 20151120)The numericalmethods that solve the governing equations in an atmospheric dynamical core are designed to dissipate potential enstrophy and prevent the buildup of kinetic energy at the grid scale. A side effect of this is ... 
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 ... 
ENSO and greenhouse warming
(Nature Publishing Group, 20150821)The El Niño/Southern Oscillation (ENSO) is the dominant climate phenomenon affecting extreme weather conditions worldwide. Its response to greenhouse warming has challenged scientists for decades, despite model agreement ... 
Enso extremes and diversity: Dynamics, teleconnections, and impacts
(American Meteorological Society, 201511)In boreal spring of 2014, the tropical Pacific was primed for an El Niño, when most forecast agencies such as the National Oceanic and Atmospheric Administration (NOAA) and the Australian Bureau of Meteorology elevated ... 
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 ...