Browsing Mathematics by Title
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Characteristic matrices for linear periodic delay differential equations
(2011)Szalai, Stépán, and Hogan [SIAM J. Sci. Comput., 28 (2006), pp. 1301–1317] gave a general construction for characteristic matrices for systems of linear delay differential equations with periodic coefficients. First, we ... 
Classification of robust heteroclinic cycles for vector fields in R3 with symmetry
(Institute of Physics, 2005)We consider a classification of robust heteroclinic cycles in the positive octant of R3 under the action of the symmetry group (Z2)3. We introduce a coding system to represent different classes up to a topological equivalence, ... 
Classification of wave regimes in excitable systems with linear cross diffusion
(American Physical Society, 2014)We consider principal properties of various wave regimes in two selected excitable systems with linear cross diffusion in one spatial dimension observed at different parameter values. This includes fixedshape propagating ... 
Climate impacts of geoengineering marine stratocumulus clouds
(American Geophysical Union (AGU), 2009)[1] Theoretical potential geoengineering solutions to the global warming problem have recently been proposed. Here, we present an idealized study of the climate response to deliberately seeding largescale stratocumulus ... 
Climate impacts of the southern annular mode simulated by the CMIP3 models
(American Meteorological Society, 2009)The southern annular mode (SAM) has a wellestablished impact on climate in the Southern Hemisphere. The strongest response in surface air temperature (SAT) is observed in the Antarctic, but the SAM’s area of influence ... 
Climate predictions: the influence of nonlinearity and randomness
(Royal Society, 2012)The current threat of global warming and the public demand for confident projections of climate change pose the ultimate challenge to science: predicting the future behaviour of a system of such overwhelming complexity as ... 
Climate tipping as a noisy bifurcation: a predictive technique
(Oxford University Press for Institute of Mathematics and its Applications, 2011)It is often known, from modelling studies, that a certain mode of climate tipping (of the oceanic thermohaline circulation, for example) is governed by an underlying fold bifurcation. For such a case, we present a scheme ... 
Climate–carbon cycle feedback analysis: results from the C4MIP model intercomparison
(American Meteorological Society, 2006)Eleven coupled climatecarbon cycle models used a common protocol to study the coupling between climate change and the carbon cycle. The models were forced by historical emissions and the Intergovernmental Panel on Climate ... 
Cluster observations of the midaltitude cusp under strong northward Interplanetary magnetic field
(American Geophysical Union (AGU), 2008)We report on a multispacecraft cusp observation lasting more than 100 min. We determine the cusp boundary motion and reveal the effect on the cusp size of the interplanetary magnetic field (IMF) changing from southward to ... 
Comparing the degree of land–atmosphere interaction in four atmospheric general circulation models
(American Meteorological Society, 2002)The strength of the coupling between the land and the atmosphere, which controls, for example, the degree to which precipitationinduced soil moisture anomalies affect the overlying atmosphere and thereby the subsequent ... 
Comparison of the Bayesian and Randomised Decision Tree Ensembles within an Uncertainty Envelope Technique
(Springer, 2006)Multiple Classifier Systems (MCSs) allow evaluation of the uncertainty of classification outcomes that is of crucial importance for safety critical applications. The uncertainty of classification is determined by a tradeoff ... 
Computation of the drift velocity of spiral waves using response functions
(American Physical Society, 2010)Rotating spiral waves are a form of selforganization observed in spatially extended systems of physical, chemical, and biological nature. In the presence of a small perturbation, the spiral wave's center of rotation and ... 
Computation of the response functions of spiral waves in active media
(American Physical Society, 2009)Rotating spiral waves are a form of selforganization observed in spatially extended systems of physical, chemical, and biological natures. A small perturbation causes gradual change in spatial location of spiral's rotation ... 
A Computer Simulation Study of Anatomy Induced Drift of Spiral Waves in the Human Atrium
(Hindawi Publishing Corporation, 2014)The interaction of spiral waves of excitation with atrial anatomy remains unclear. This simulation study isolates the role of atrial anatomical structures on spiral wave spontaneous drift in the human atrium. We implemented ... 
Conditions for propagation and block of excitation in an asymptotic model of atrial tissue.
(2006)Detailed ionic models of cardiac cells are difficult for numerical simulations because they consist of a large number of equations and contain small parameters. The presence of small parameters, however, may be used for ... 
Conditions for sinktosource transitions and runaway feedbacks from the land carbon cycle
(Cambridge University Press, 200602)The first GCM climatecarbon cycle simulation indicated that the land biosphere could provide a significant acceleration of 21st century climate change (Cox et al. 2000). In this numerical experiment the carbon storage was ... 
Cone exchange transformations and boundedness of orbits
(Cambridge University Press, 2010)We introduce a class of twodimensional piecewise isometries on the plane that we refer to as cone exchange transformations (CETs). These are generalizations of interval exchange transformations (IETs) to 2D unbounded ... 
Confidence in Classification: A Bayesian Approach
(Springer Verlag, 2006)Bayesian classification is currently of considerable interest. It provides a strategy for eliminating the uncertainty associated with a particular choice of classifiermodel parameters, and is the optimal decisiontheoretic ... 
Confident interpretation of Bayesian decision tree ensembles for clinical applications
(Institute of Electrical and Electronics Engineers (IEEE), 2007)Bayesian averaging (BA) over ensembles of decision models allows evaluation of the uncertainty of decisions that is of crucial importance for safetycritical applications such as medical diagnostics. The interpretability ... 
A conjecture of Stanley on alternating permutations
(Electronic Journal of Combinatorics, 2007)We give two simple proofs of a conjecture of Richard Stanley concerning the equidistribution of derangements and alternating permutations with the maximal number of fixed points.