Browsing Mathematics by Title
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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 ... 
BSim: an agentbased tool for modeling bacterial populations in systems and synthetic biology.
(Public Library of Science (PLoS), 2012)Largescale collective behaviors such as synchronization and coordination spontaneously arise in many bacterial populations. With systems biology attempting to understand these phenomena, and synthetic biology opening up ... 
Buckling of scroll waves
(American Physical Society, 2012)A scroll wave in a sufficiently thin layer of an excitable medium with negative filament tension can be stable nevertheless due to filament rigidity. Above a certain critical thickness of the medium, such scroll wave will ... 
The Buildup to Eruptive Solar Events Viewed as the Development of Chiral Systems
(Astronomical Society of the Pacific, 2012)When we examine the chirality or observed handedness of the chromospheric and coronal structures involved in the longterm buildup to eruptive events, we find that they evolve in very specific ways to form two and only ... 
A Ca2+based computational model for NMDA receptordependent synaptic plasticity at individual postsynaptic spines in the Hippocampus.
(Frontiers, 2010)Associative synaptic plasticity is synapse specific and requires coincident activity in presynaptic and postsynaptic neurons to activate NMDA receptors (NMDARs). The resultant Ca(2+) influx is the critical trigger for ... 
CalciumInduced Calcium Release during Action Potential Firing in Developing Inner Hair Cells
(Biophysical Society / Elsevier, 2015)In the mature auditory system, inner hair cells (IHCs) convert soundinduced vibrations into electrical signals that are relayed to the central nervous system via auditory afferents. Before the cochlea can respond to normal ... 
The carbon cycle response to ENSO: a coupled climate–carbon cycle model study
(American Meteorological Society, 2001)There is significant interannual variability in the atmospheric concentration of carbon dioxide (CO2) even when the effect of anthropogenic sources has been accounted for. This variability is well correlated with the El ... 
A case study of the radiative forcing of persistent contrails evolving into contrailinduced cirrus
(American Geophysical Union (AGU), 2009)[1] The radiative forcing due to a distinct pattern of persistent contrails that form into contrailinduced cirrus near and over the UK is investigated in detail for a single case study during March 2009. The development ... 
Caution needed when linking weather extremes to amplified planetary waves
(National Academy of Sciences, 2013) 
The central role of diminishing sea ice in recent Arctic temperature amplification
(Nature Publishing Group, 2010)The rise in Arctic nearsurface air temperatures has been almost twice as large as the global average in recent decadesa feature known as 'Arctic amplification'. Increased concentrations of atmospheric greenhouse gases ... 
Chaos in symmetric phase oscillator networks
(American Physical Society, 2011)Phasecoupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization so far has been found to be chaotic ... 
Chaotic Weak Chimeras and their Persistence in Coupled Populations of Phase Oscillators
(arXiv.org, 20150929)Nontrivial collective behavior may emerge from the interactive dynamics of many oscillatory units. Chimera states are chaotic patterns of spatially localized coherent and incoherent oscillations. The recentlyintroduced ... 
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 ... 
Chimera states in networks of phase oscillators: the case of two small populations
(Arxiv.org, 20150812)Chimera states are dynamical patterns in networks of coupled oscillators in which regions of synchronous and asynchronous oscillation coexist. Although these states are typically observed in large ensembles of oscillators ... 
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, ...