Now showing items 92-111 of 346

  • Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation 

    Aguiar, M.; Ashwin, Peter; Dias, A.; Field, M. (Springer Verlag, 2011)
    We consider the dynamics of small networks of coupled cells. We usually assume asymmetric inputs and no global or local symmetries in the network and consider equivalence of networks in this setting; that is, when two ...
  • Dynamics of filaments of scroll waves 

    Biktashev, V. N.; Biktasheva, I. V. (World Scientific, 2014)
    The following sections are included: A Brief History and Motivation; Wave-Particle Duality of Spiral Waves; Perturbative Dynamics of Scrolls, and Tension of Filaments; Scroll Wave Turbulence; Rigidity of Scroll Filaments: ...
  • Dynamics of the nearly parametric pendulum 

    Horton, B.; Sieber, J.; Thompson, J.M.; Wiercigroch, M. (Elsevier, 2011)
  • Dynamics of two laterally coupled semiconductor lasers: strong- and weak-coupling theory. 

    Erzgraber, H.; Wieczorek, Sebastian; Krauskopf, Bernd (American Physical Society, 2008)
    The stability and nonlinear dynamics of two semiconductor lasers coupled side to side via evanescent waves are investigated by using three different models. In the composite-cavity model, the coupling between the lasers ...
  • Dynamics on networks of cluster states for globally coupled phase oscillators 

    Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart (Society for Industrial and Applied Mathematics, 2007)
    Systems of globally coupled phase oscillators can have robust attractors that are heteroclinic networks. We investigate such a heteroclinic network between partially synchronized states where the phases cluster into three ...
  • Effective diffusion of scalar fields in a chaotic flow 

    Turner, M. R.; Gilbert, Andrew D.; Thuburn, John (American Institute of Physics, 2008)
    The advection of a tracer field in a fluid flow can create complex scalar structures and increase the effect of weak diffusion by orders of magnitude. One tool to quantify this is to measure the flux of scalar across contour ...
  • Effects of frozen soil on soil temperature, spring infiltration, and runoff: results from the PILPS 2(d) experiment at Valdai, Russia 

    Luo, Lifeng; Robock, Alan; Vinnikov, Konstantin Y.; Schlosser, C. Adam; Slater, Andrew G.; Boone, Aaron; Braden, Harald; Cox, Peter M.; De Rosnay, Patricia; Dickinson, Robert E.; Dai, Yongjiu; Duan, Qingyun; Etchevers, Pierre; Henderson-Sellers, Ann; Gedney, Nicola; Gusev, Yevgeniy M.; Habets, Florence; Kim, Jinwon; Kowalczyk, Eva; Mitchell, Ken; Nasonova, Olga N.; Noilhan, Joel; Pitman, Andrew; Schaake, John; Shmakin, Andrey B.; Smirnova, Tatiana G.; Wetzel, Peter; Xue, Yongkang; Yang, Zong-Liang; Zeng, Qing-Cun (American Meteorological Society, 2009-12-18)
    The Project for Intercomparison of Land-Surface Parameterization Schemes phase 2(d) experiment at Valdai, Russia, offers a unique opportunity to evaluate land surface schemes, especially snow and frozen soil parameterizations. ...
  • An Elementary Proof of the Simplicity of the Mathieu Groups M11 and M23 

    Chapman, Robin (Mathematical Association of America (MAA), 1995)
  • Elevated risk of stillbirth in males: systematic review and meta-analysis of more than 30 million births 

    Mondal, Debapriya; Galloway, Tamara S.; Bailey, Trevor C.; Mathews, Fiona (BioMed Central, 2014)
    BACKGROUND: Stillbirth rates have changed little over the last decade, and a high proportion of cases are unexplained. This meta-analysis examined whether there are inequalities in stillbirth risks according to sex. METHODS: ...
  • Elliptic behaviour in the sawtooth standard map 

    Ashwin, Peter (Elsevier, 1997)
    This paper examines the standard map with sawtooth nonlinearity when the eigenvalues of the Jacobian lie on the unit circle. This is an area-preserving map of the torus to itself that is linear except on a line on which ...
  • Emergence and maintenance of functional modules in signaling pathways 

    Soyer, Orkun S. (BioMed Central, 2007)
    Background: While detection and analysis of functional modules in biological systems have received great attention in recent years, we still lack a complete understanding of how such modules emerge. One theory is that ...
  • Encoding via conjugate symmetries of slow oscillations for globally coupled oscillators 

    Ashwin, Peter; Borresen, Jon (American Physical Society, 2004)
    We study properties of the dynamics underlying slow cluster oscillations in two systems of five globally coupled oscillators. These slow oscillations are due to the appearance of structurally stable heteroclinic connections ...
  • Energy-crossing number relations for braided magnetic fields 

    Berger, M.A. (American Physical Society, 1993)
    This Letter derives lower bounds on the energy of braided magnetic fields, based on crossing number techniques pioneered by Freedman and He. Mean crossing numbers are defined for magnetic fields inside a cylinder; for ...
  • Envelope quasisolitons in dissipative systems with cross-diffusion 

    Biktashev, V. N.; Tsyganov, M. A. (American Physical Society, 2011)
    We consider two-component nonlinear dissipative spatially extended systems of reaction-cross-diffusion type. Previously, such systems were shown to support "quasisoliton" pulses, which have a fixed stable structure but can ...
  • Equitability revisited: why the 'equitable threat score' is not equitable 

    Hogan, Robin J.; Ferro, Christopher A.T.; Jolliffe, Ian T.; Stephenson, David B. (American Meteorological Society, 2010)
    In the forecasting of binary events, verification measures that are “equitable” were defined by Gandin and Murphy to satisfy two requirements: 1) they award all random forecasting systems, including those that always issue ...
  • Erroneous arctic temperature trends in the ERA-40 reanalysis: A closer look 

    Screen, James A.; Simmonds, Ian (American Meteorological Society, 2011)
    Atmospheric reanalyses can be useful tools for examining climate variability and change; however, they must be used cautiously because of time-varying biases that can induce artificial trends. This study explicitly documents ...
  • Error bounds in the gap metric for dissipative balanced approximations 

    Guiver, Chris; Opmeer, Mark R. (Elsevier, 2013)
    We derive an error bound in the gap metric for positive real balanced truncation and positive real singular perturbation approximation. We prove these results by working in the context of dissipative driving-variable ...
  • Estimates of past and future ozone trends from multi-model simulations using a flexible smoothing spline methodology 

    Scinocca, John F.; Stephenson, David B.; Bailey, Trevor C.; Austin, John (American Geophysical Union, 2010)
    A novel additive model analysis of multimodel trends is presented. The approach is motivated by, and particularly suited to, the analysis of multimodel time series of varying length. This Time series Additive Model (TSAM) ...
  • The evaluation of directionally writhing polymers 

    Prior, C.B.; Berger, M.A. (arXiv.org, 2010)
    We discuss the appropriate techniques for modelling the geometry of open ended elastic polymer molecules. The molecule is assumed to have fixed endpoints on a boundary surface. In particular we discuss the concept of the ...
  • Event collisions in systems with delayed switches 

    Sieber, J.; Kowalczyk, P. (Elsevier, 2006)
    We study dynamical systems that switch between two different vector fields depending on a discrete variable. If the two vector fields have linearly unstable fixed points and the switch is subject to a hysteresis and to a ...