Browsing Mathematics by Title
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Tangencies in invariant disc packings for certain planar piecewise isometries are rare
(Taylor & Francis, 2001)For planar piecewise isometries (PWIs) (twodimensional maps that restrict to isometries on some partition) there is a natural coding given by the itinerary of a trajectory between the pieces (atoms) of the partition on ... 
Temporally correlated fluctuations drive epileptiform dynamics
(Elsevier, 20161116)Macroscopic models of brain networks typically incorporate assumptions regarding the characteristics of afferent noise, which is used to represent input from distal brain regions or ongoing fluctuations in nonmodelled ... 
The terrestrial biosphere as a net source of greenhouse gases to the atmosphere
(Nature Publishing Group, 20160309)The terrestrial biosphere can release or absorb the greenhouse gases carbon dioxide (CO2), methane (CH4) and nitrous oxide (N2O), and therefore has an important role in regulating atmospheric composition and climate1. ... 
The terrestrial carbon budget of South and Southeast Asia
(IOP Publishing, 20161019)Accomplishing the objective of the current climate policies will require establishing carbon budget and flux estimates in each region and county of the globe by comparing and reconciling multiple estimates including the ... 
Theory of ferromagnetic microswimmers
(Oxford University Press, 2011)This paper considers the dynamics of a microscale swimmer based on two magnetic beads that are elastically coupled together. A timevarying external magnetic field is imposed that has two principal effects: one is to exert ... 
A theory of passive linear systems with no assumptions
(Elsevier, 20170909)We present two linked theorems on passivity: the passive behavior theorem, parts 1 and 2. Part 1 provides necessary and sufficient conditions for a general linear system, described by a set of high order differential ... 
The thermal phase curve offset on tidally and nontidallylocked exoplanets: a shallow water model
(American Astronomical Society / IOP Publishing, 20170620)Using a shallow water model with timedependent forcing we show that the peak of an exoplanet thermal phase curve is, in general, offset from the secondary eclipse when the planet is rotating. That is, the planetary hotspot ... 
Thermalgravitational wind equation for the windinduced gravitational signature of giant gaseous planets: mathematical derivation, numerical method, and illustrative solutions
(American Astronomical Society, 20150620)The standard thermal wind equation (TWE) relating the vertical shear of a flow to the horizontal density gradient in an atmosphere has been used to calculate the external gravitational signature produced by zonal winds in ... 
Three recommendations for evaluating climate predictions
(Wiley / Royal Meteorological Society, 20130610)Evaluation is important for improving climate prediction systems and establishing the credibility of their predictions of the future. This paper shows how the choices that must be made about how to evaluate predictions ... 
A threedimensional multilayered spherical dynamic interface dynamo using the MalkusProctor formulation
(IOP Publishing / American Astronomical Society, 2008)We investigate a fully threedimensional and multilayered spherical dynamic interface dynamo using a finiteelement method based on the threedimensional tetrahedralization of the whole spherical system. The dynamic interface ... 
A threedimensional numerical solution for the shape of a rotationally distorted polytrope of index unity
(American Astronomical Society, 20130201)We present a new threedimensional numerical method for calculating the nonspherical shape and internal structure of a model of a rapidly rotating gaseous body with a polytropic index of unity. The calculation is based ... 
Threshold switching via electric field induced crystallization in phasechange memory devices
(American Institute of Physics, 2012)Phasechange devices exhibit characteristic threshold switching from the reset (off) to the set (on) state. Mainstream understanding of this electrical switching phenomenon is that it is initiated electronically via the ... 
Thresholds for the formation of satellites in twodimensional vortices
(Cambridge University Press, 2008)This paper examines the evolution of a twodimensional vortex which initially consists of an axisymmetric monopole vortex with a perturbation of azimuthal wavenumber m = 2 added to it. If the perturbation is weak, then the ... 
Tipping points in open systems: bifurcation, noiseinduced and ratedependent examples in the climate system
(The Royal Society, 2012)Tipping points associated with bifurcations (Btipping) or induced by noise (Ntipping) are recognized mechanisms that may potentially lead to sudden climate change. We focus here on a novel class of tipping points, where ... 
Toward interplanetary space weather: Strategies for manned missions to Mars
(American Geophysical Union (AGU), 2005)Analysis of the interplanetary space weather environment will contribute to reducing uncertainties and assuring crew radiation safety. 
Towards a Global Controller Design for Guaranteed Synchronization of Switched Chaotic Systems
(Elsevier, 20141112)In this paper, synchronization of identical switched chaotic systems is explored based on Lyapunov theory of guaranteed stability. Concepts from robust control principles and switched linear systems are merged together to ... 
Towards predictive understanding of regional climate change
(Nature Publishing Group, 20150907)Regional information on climate change is urgently needed but often deemed unreliable. To achieve credible regional climate projections, it is essential to understand underlying physical processes, reduce model biases and ... 
Towards quantifying uncertainty in predictions of Amazon 'dieback'.
(Royal Society, 20080527)Simulations with the Hadley Centre general circulation model (HadCM3), including carbon cycle model and forced by a 'businessasusual' emissions scenario, predict a rapid loss of Amazonian rainforest from the middle of ... 
Towards the validation of a traceable climate model hierarchies
(Oxford University Press (OUP), 20170718)Background It is a common practice to use a simple model to explain the mechanisms or processes that occur in a much more complex, complete and computationally expensive model. Many such examples can be found in climate ... 
Toy model of ERK signalling with two negative feedback loops: a fast one from ppERK to upstream effectors; and a slow one via phosphatase expression
(2015)This is a computation model used in the study of GnRH signalling; data generated using the model appeared in the paper 'Information Transfer in Gonadotropinreleasing Hormone (GnRH) Signaling: extracellular signalregulated ...