Browsing Mathematics by Title
Now showing items 1534 of 362

Asymptotic and numerical solutions of the initial value problem in rotating planetary fluid cores
(Oxford University Press / Royal Astronomical Society, 2010)An initial state of fluid motion in planetary cores or atmospheres, excited, for example, by the giant impact of an asteroid or an earthquake and then damped by viscous dissipation, decays towards the state of rigidbody ... 
Asymptotic properties of mathematical models of excitability.
(Royal Society, 2006)We analyse small parameters in selected models of biological excitability, including HodgkinHuxley (Hodgkin & Huxley 1952 J. Physiol.117, 500544) model of nerve axon, Noble (Noble 1962 J. Physiol.160, 317352) model of ... 
Asymptotic theory of resonant flow in a spheroidal cavity driven by latitudinal libration
(Cambridge University Press, 2012) 
Asymptotics of conduction velocity restitution in models of electrical excitation in the heart.
(Springer Verlag, 2011)We extend a nonTikhonov asymptotic embedding, proposed earlier, for calculation of conduction velocity restitution curves in ionic models of cardiac excitability. Conduction velocity restitution is the simplest nontrivial ... 
Atmospheric impacts of Arctic seaice loss, 19792009: separating forced change from atmospheric internal variability
(SpringerVerlag, 2013)The ongoing loss of Arctic seaice cover has implications for the wider climate system. The detection and importance of the atmospheric impacts of seaice loss depends, in part, on the relative magnitudes of the seaice ... 
The atmospheric response to three decades of observed arctic sea ice loss
(American Meteorological Society, 2013)Arctic sea ice is declining at an increasing rate with potentially important repercussions. To understand better the atmospheric changes that may have occurred in response to Arctic sea ice loss, this study presents results ... 
Attractors of a randomly forced electronic oscillator
(Elsevier, 1999)This paper examines an electronic oscillator forced by a pseudorandom noise signal. We give evidence of the existence of one or more random attractors for the system depending on noise amplitude and system parameters. ... 
The Bayesian Decision Tree Technique with a Sweeping Strategy
(2004)The uncertainty of classification outcomes is of crucial importance for many safety critical applications including, for example, medical diagnostics. In such applications the uncertainty of classification can be reliably ... 
Bayesian inductively learned modules for safety critical systems
(Interface Foundation of North America, Inc., 2003)This work examines the use of Bayesian inductively learned software modules for safety critical systems. Central to the safety critical application is the desire to generate confidence measures associated with predictions. ... 
A biascorrected decomposition of the Brier score
(Royal Meteorological Society, 2012)The Brier score is a widely used measure of performance for probabilistic forecasts of event occurrences and is often decomposed additively into three terms that quantify the reliability and resolution of the forecasts and ... 
Biclustering models for structured microarray data
(IEEE, 2005)Microarrays have become a standard tool for investigating gene function and more complex microarray experiments are increasingly being conducted. For example, an experiment may involve samples from several groups or may ... 
Bidirectional transport and pulsing states in a multilane ASEP model
(IOP Publishing, 2011)In this paper, we introduce an ASEPlike transport model for bidirectional motion of particles on a multilane lattice. The model is motivated by {\em in vivo} experiments on organelle motility along a microtubule (MT), ... 
Bifurcation analysis of delayinduced resonances of the ElNiño Southern Oscillation.
(Royal Society, 2014)Models of global climate phenomena of low to intermediate complexity are very useful for providing an understanding at a conceptual level. An important aspect of such models is the presence of a number of feedback loops ... 
Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators
(Elsevier, 2008)We study the bifurcation and dynamical behaviour of the system of N globally coupled identical phase oscillators introduced by Hansel, Mato and Meunier, in the cases N=3 and N=4. This model has been found to exhibit robust ... 
Bistability in feedback circuits as a byproduct of evolution of evolvability
(2012)Noisy bistable dynamics in gene regulation can underlie stochastic switching and is demonstrated to be beneficial under fluctuating environments. It is not known, however, if fluctuating selection alone can result in ... 
Blowout bifurcation in a system of coupled chaotic lasers
(American Physical Society, 1998)We show that loss of synchronization of two identical coupled chaotic class B lasers can occur via a blowout bifurcation. This occurs when a transverse Lyapunov exponent governing the stability of a synchronized subspace ... 
Bounded real and positive real balanced truncation for infinitedimensional systems
(American Institute of Mathematical Sciences, 2013)Bounded real balanced truncation for infinitedimensional systems is considered. This provides reduced order finitedimensional systems that retain bounded realness. We obtain an error bound analogous to the finitedimensional ... 
Bounds on the dynamics of sink populations with noisy immigration
(Elsevier, 2014)Sink populations are doomed to decline to extinction in the absence of immigration. The dynamics of sink populations are not easily modelled using the standard framework of per capita rates of immigration, because numbers ... 
Broad range of 2050 warming from an observationally constrained large climate model ensemble
(Nature Publishing Group, 2012)Incomplete understanding of three aspects of the climate system—equilibrium climate sensitivity, rate of ocean heat uptake and historical aerosol forcing—and the physical processes underlying them lead to uncertainties in ...