Browsing Mathematics by Title
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Control of scrollwave turbulence using resonant perturbations
(American Physical Society, 2008)Turbulence of scroll waves is a sort of spatiotemporal chaos that exists in threedimensional excitable media. Cardiac tissue and the BelousovZhabotinsky reaction are examples of such media. In cardiac tissue, chaotic ... 
Controlbased continuation of unstable periodic orbits
(American Society of Mechanical Engineers (ASME), 2011)We present an experimental procedure to track periodic orbits through a fold (saddlenode) bifurcation and demonstrate it with a parametrically excited pendulum experiment where the tracking parameter is the amplitude of ... 
Controlling unstable chaos: stabilizing chimera states by feedback
(American Physical Society, 2014)We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a ... 
Controls on terrestrial carbon feedbacks by productivity versus turnover in the CMIP5 Earth System Models
(European Geosciences Union (EGU), 20150907)© Author(s) 2015. To better understand sources of uncertainty in projections of terrestrial carbon cycle feedbacks, we present an approach to separate the controls on modeled carbon changes. We separate carbon changes into ... 
Convergence to local random attractors
(Taylor & Francis, 2003)Random attractors allow one to classify qualitative and quantitative aspects of the longtime behaviour of stochastically forced systems viewed as random dynamical systems (RDS) in an analogous way to attractors for ... 
Coronal Alfvén speed determination : consistency between seismology using AIA/SDO transverse loop oscillations and magnetic extrapolation
(American Astronomical Society / IOP Publishing, 2013)Two transversely oscillating coronal loops are investigated in detail during a flare on the 2011 September 6 using data from the Atmospheric Imaging Assembly (AIA) on board the Solar Dynamics Observatory. We compare two ... 
Correcting the finiteensemble bias of the ignorance score
(Royal Meteorological Society, 2015)This study considers the application of the Ignorance Score (also known as the Logarithmic Score) in the context of ensemble verification. In particular, we consider the case where an ensemble forecast is transformed to a ... 
Correction to ‘Shifted convolution and the Titchmarsh divisor problem over Fq[t]
(Royal Society, 20160213)Correction to original article: Phil. Trans. R. Soc. A 373, 20140308 (28 April 2015; Published online 23 March 2015) (doi:10.1098/rsta.2014.0308). Two of the equations in the original article contained a typographical ... 
Correction to: “Constraining climate forecasts: The role of prior assumptions”
(American Geophysical Union (AGU) / Wiley, 20140502)N/A 
A counterexample to "positive realness preserving model reduction with ℋ∞ norm error bounds"
(Institute of Electrical and Electronics Engineers (IEEE), 2011)We provide a counterexample to the H∞ error bound for the difference of a positive real transfer function and its positive real balanced truncation stated in “Positive realness preserving model reduction with H∞ norm error ... 
Countertraveling waves in rotating RayleighBénard convection.
(American Physical Society, 2008)Linear and nonlinear countertraveling waves in a fluidfilled annular cylinder with realistic noslip boundary conditions uniformly heated from below and rotating about a vertical axis are investigated. When the gap of ... 
Criteria for robustness of heteroclinic cycles in neural microcircuits.
(BioMed Central / SpringerOpen, 2011)We introduce a test for robustness of heteroclinic cycles that appear in neural microcircuits modeled as coupled dynamical cells. Robust heteroclinic cycles (RHCs) can appear as robust attractors in LotkaVolterratype ... 
Critical fronts in initiation of excitation waves
(American Physical Society, 2007)We consider the problem of initiation of propagating waves in a onedimensional excitable fiber. In the FitzHughNagumo theory, the key role is played by "critical nucleus" and "critical pulse" solutions whose (center) ... 
Critical layer and radiative instabilities in shallowwater shear flows
(Cambridge University Press, 20140623)In this study a linear stability analysis of shallowwater flows is undertaken for a representative Froude number $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let ... 
A critical role for network structure in seizure onset: a computational modeling approach
(Frontiers Media, 2014)Recent clinical work has implicated network structure as critically important in the initiation of seizures in people with idiopathic generalized epilepsies. In line with this idea, functional networks derived from the ... 
Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection
(Elsevier, 1998)We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this `cycling chaos' manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant ... 
Cycling chaotic attractors in two models for dynamics with invariant subspaces
(American Institute of Physics, 2004)Nonergodic attractors can robustly appear in symmetric systems as structurally stable cycles between saddletype invariant sets. These saddles may be chaotic giving rise to "cycling chaos." The robustness of such attractors ... 
Damped large amplitude transverse oscillations in an EUV solar prominence, triggered by largescale transient coronal waves
(EDP Sciences, 2011)Aims. We investigate two successive trains of large amplitude transverse oscillations in an arched EUV prominence, observed with SoHO/EIT on the northeast solar limb on 30 July 2005. The oscillatory trains are triggered ... 
Decelerating defects and nonergodic critical behaviour in a unidirectionally coupled map lattice
(Elsevier, 2003)We examine a coupled map lattice (CML) consisting of an infinite chain of logistic maps coupled in one direction by inhibitory coupling. We find that for sufficiently strong coupling strength there are dynamical states ... 
Decentralised static output feedback stabilisation and synchronisation of networks
(Elsevier, 200912)In this paper global stabilisation of a complex network is attained by applying local decentralised output feedback control to a minimum number of nodes of the network. The stabilisation of the network is treated as a rank ...