Mathematics
Welcome to the research outputs of the University of Exeter College of Engineering, Mathematics and Physical Sciences, Department of Mathematics
Recent Submissions

Influence of velocity fluctuations on the KelvinHelmholtz instability and its associated mass transport
(American Geophysical Union (AGU) / Wiley, 20170919)KelvinHelmholtz instability (KHI) and associated magnetic reconnection and diffusion processes provide plasma transport from solar wind into the magnetosphere. The efficiency of this transport depends on the magnetosheath ... 
Dynamical mechanism of atrial fibrillation: A topological approach
(AIP Publishing, 20170920)While spiral wave breakup has been implicated in the emergence of atrial fibrillation, its role in maintaining this complex type of cardiac arrhythmia is less clear. We used the Karma model of cardiac excitation to investigate ... 
Clonal differences in Staphylococcus aureus bacteraemiaassociated mortality
(Springer Nature, 20170807)The bacterium Staphylococcus aureus is a major human pathogen for which the emergence of antibiotic resistance is a global public health concern. Infection severity, and in particular bacteraemiaassociated mortality, has ... 
Epidemiological and ecological determinants of Zika virus transmission in an urban setting
(eLife Sciences Publications, 20170909)The Zika virus has emerged as a global public health concern. Its rapid geographic expansion is attributed to the success of Aedes mosquito vectors, but local epidemiological drivers are still poorly understood. Feira de ... 
Authors response to communication about mathematical modeling of gonadotropinreleasing hormone signaling
(Elsevier, 20171004)Letter to the Editor: Authors response to communication about mathematical modeling of gonadotropinreleasing hormone signaling 
Lagrangian particle path formulation of multilayer shallowwater flows dynamically coupled to vessel motion
(Springer Verlag, 20170123)The coupled motion—between multiple inviscid, incompressible, immiscible fluid layers in a rectangular vessel with a rigid lid and the vessel dynamics—is considered. The fluid layers are assumed to be thin and the shallowwater ... 
Influence of facial feedback and mind perception during a cooperative humanrobot task in schizophrenia
(Springer Nature, 2017)Rapid progress in the area of humanoid robots offers tremendous possibilities for investigating and improving social competences in people with social deficits, but remains yet unexplored in schizophrenia. In this study, ... 
Antiwindup for a class of partially linearisable nonlinear systems with application to wave energy converter control
(Institution of Engineering and Technology (IET), 20160824)This paper studies the antiwindup (AW) problem for a certain class of nonlinear systems, in which the plant is globally quadratically stable and also partially linearisable by a suitably chosen nonlinear feedback control ... 
Analysis of Automotive CyberAttacks on Highways using Partial Differential Equation Models
(Institute of Electrical and Electronics Engineers (IEEE), 20171009)This paper considers scenarios wherein a group of malicious vehicles on a highway perform a cooperative attack with the motive of creating undesirable wave effects among other vehicles on the highway. The two species ... 
Historical trends and variability in heat waves in the United Kingdom
(MDPI, 20170930)Increases in numbers and lengths of heat waves have previously been identified in global temperature records, including locations within Europe. However, studies of changes in UK heat wave characteristics are limited. ... 
Is the choice of statistical paradigm critical in extreme event attribution studies?
(Springer Verlag, 20170828)The science of event attribution meets a mounting demand for reliable and timely information about the links between climate change and individual extreme events. Studies have estimated the contribution of humaninduced ... 
Counting HopfGalois structures on cyclic field extensions of squarefree degree
(Elsevier for Academic Press, 20170921)We investigate HopfGalois structures on a cyclic field extension L/K of squarefree degree n. By a result of Greither and Pareigis, each such HopfGalois structure corresponds to a group of order n, whose isomorphism class ... 
Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions
(American Physical Society, 20171019)We present an approach to generate chimera dynamics (localized frequency synchrony) in oscillator networks with two groups of (at least) two elements using a general method based on delayed interaction with linear and ... 
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 ... 
Fastslow asymptotics for a Markov chain model of fast sodium current
(AIP Publishing, 20170921)Modern models of excitability of cardiac cells include description of ionic channels in terms of deterministic Markov chains. The transition rates in these chains often vary by several orders of magnitude, which makes ... 
Mean Values of Derivatives of Lfunctions in Function Fields: II
(Elsevier, 20170922)This is the second part of our investigation of mean values of derivatives of Lfunctions in function fields. In this paper, specifically, we prove several mean values results for the derivatives of Lfunctions in function ... 
Second order sliding mode observers for fault reconstruction in power networks
(Institution of Engineering and Technology, 20170817)This paper proposes a 2sliding mode observer to detect and reconstruct a certain class of load altering faults in a power network. The observer design is based on the recently proposed multivariable supertwisting structure. ... 
The NonLinear Growth of the Magnetic RayleighTaylor Instability
(EDP Sciences for European Southern Observatory (ESO), 20170725)This work examines the effect of the embedded magnetic field strength on the nonlinear development of the magnetic RayleighTaylor Instability (RTI) (with a fieldaligned interface) in an ideal gas close to the incompressible ... 
Oscillatory stimuli differentiate adapting circuit topologies
(Springer Nature, 20170828)Biology emerges from interactions between molecules, which are challenging to elucidate with current techniques. An orthogonal approach is to probe for 'response signatures' that identify specific circuit motifs. For ... 
A refined version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields
(American Mathematical Society, 2017)In this paper we prove a refined version of a theorem by Tamagawa and Mochizuki on isomorphisms between (tame) arithmetic fundamental groups of hyperbolic curves over finite fields, where one “ignores” the information ...