Browsing Mathematics by Title
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Chaos in generically coupled phase oscillator networks with nonpairwise interactions
(arXiv.org, 206)The KuramotoSakaguchi system of coupled phase oscillators, where interaction between oscillators is determined by a single harmonic of phase differences of pairs of oscillators, has very simple emergent dynamics in the ... 
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 multiobjective optimization based design of fractional order PIλDμ controller in AVR system
(Elsevier, 20120704)In this paper, a fractional order (FO) PI{\lambda}D\mu controller is designed to take care of various contradictory objective functions for an Automatic Voltage Regulator (AVR) system. An improved evolutionary Nondominated ... 
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 ... 
Chimera states in two populations with heterogeneous phaselag
(AIP Publishing, 201609)The simplest network of coupled phaseoscillators exhibiting chimera states is given by two populations with disparate intra and interpopulation coupling strengths. We explore the effects of heterogeneous coupling ... 
Chloroplasts play a central role in plant defence and are targeted by pathogen effectors
(Nature Publishing Group, 20150601)Microbe associated molecular pattern (MAMP) receptors in plants recognize MAMPs and activate basal defences; however a complete understanding of the molecular and physiological mechanisms conferring immunity remains elusive. ... 
Choice of function spaces for thermodynamic variables in mixed finite element methods
(Wiley / Royal Meteorological Society, 20180223)We study the dispersion properties of three choices for the buoyancy space in a mixed finite element discretization of geophysical fluid flow equations. The problem is analogous to that of the staggering of the buoyancy ... 
Classification framework for partially observed dynamical systems
(American Physical Society, 20170414)We present a general framework for classifying partially observed dynamical systems based on the idea of learning in the model space. In contrast to the existing approaches using model point estimates to represent ... 
Classification methodology of CVD with localized feature analysis using Phase Space Reconstruction targeting personalized remote health monitoring
(Computing in Cardiology, 20160302)This paper introduces the classification methodology of Cardiovascular Disease (CVD) with localized feature analysis using Phase Space Reconstruction (PSR) technique targeting personalized health care. The proposed ... 
Classification of autism spectrum disorder using supervised learning of brain connectivity measures extracted from synchrostates
(IOP Publishing, 20140701)OBJECTIVE: The paper investigates the presence of autism using the functional brain connectivity measures derived from electroencephalogram (EEG) of children during face perception tasks. APPROACH: Phase synchronized ... 
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, ... 
Classification of wave regimes in excitable systems with linear cross diffusion
(American Physical Society, 2014)We consider principal properties of various wave regimes in two selected excitable systems with linear cross diffusion in one spatial dimension observed at different parameter values. This includes fixedshape propagating ... 
Classifying dynamic transitions in high dimensional neural mass models: A random forest approach.
(Public Library of Science (PLoS), 20180302)Neural mass models (NMMs) are increasingly used to uncover the largescale mechanisms of brain rhythms in health and disease. The dynamics of these models is dependent upon the choice of parameters, and therefore it is ... 
Climate impacts of geoengineering marine stratocumulus clouds
(American Geophysical Union (AGU), 2009)[1] Theoretical potential geoengineering solutions to the global warming problem have recently been proposed. Here, we present an idealized study of the climate response to deliberately seeding largescale stratocumulus ... 
Climate impacts of the southern annular mode simulated by the CMIP3 models
(American Meteorological Society, 2009)The southern annular mode (SAM) has a wellestablished impact on climate in the Southern Hemisphere. The strongest response in surface air temperature (SAT) is observed in the Antarctic, but the SAM’s area of influence ... 
Climate model response from the Geoengineering Model Intercomparison Project (GeoMIP)
(American Geophysical Union, 20130809)Solar geoengineering  deliberate reduction in the amount of solar radiation retained by the Earth  has been proposed as a means of counteracting some of the climatic effects of anthropogenic greenhouse gas emissions. We ... 
Climate predictions: the influence of nonlinearity and randomness
(Royal Society, 2012)The current threat of global warming and the public demand for confident projections of climate change pose the ultimate challenge to science: predicting the future behaviour of a system of such overwhelming complexity as ... 
Climate simulations for 18802003 with GISS modelE
(Springer Verlag (Germany), 2007)We carry out climate simulations for 18802003 with GISS modelE driven by ten measured or estimated climate forcings. An ensemble of climate model runs is carried out for each forcing acting individually and for all forcing ...