Browsing by Author Gottwald, Georg

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Issue DateTitleAuthor(s)Citation
2016The 0-1 Test for Chaos: A ReviewGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsThe 0-1 Test for Chaos: A Review in Chaos Detection and Predictability, Springer-Verlag, 2016, pp. 221-247
2007Application of the 0-1 Test for Chaos to Experimental DataFalconer, Ian; Gottwald, Georg; Wormnes, Kjetil; Melbourne, Ian; Physics; Mathematics & Statistics; Civil EngineeringApplication of the 0-1 Test for Chaos to Experimental Data, SIAM Journal on Applied Dynamical Systems, vol.6,(2),2007,pp 395-402
2008Bifurcation analysis of a normal form for excitable media: Are stable dynamical alternans on a ring possible?Gottwald, Georg; Mathematics & StatisticsBifurcation analysis of a normal form for excitable media: Are stable dynamical alternans on a ring possible?, Chaos: an interdisciplinary journal of nonlinear science, vol.18, 1, 2008,pp 013129-1-013129-17
2005Bifurcations in reaction-diffusion systems in chaotic flowsGottwald, Georg; Menon, Shakti; Mathematics & Statistics; Mathematics & StatisticsBifurcations in reaction-diffusion systems in chaotic flows, Physical Review E, vol.71,(6),2005,pp 066201-1-066201-7
2007Bifurcations of flame filaments in chaotically mixed combustion reactionsGottwald, Georg; Menon, Shakti; Mathematics & Statistics; Mathematics & StatisticsBifurcations of flame filaments in chaotically mixed combustion reactions, Physical Review E, vol.75,(1),2007,pp 016209-1-016209-13
2006A bistable reaction-diffusion system in a stretching flowGottwald, Georg; Cox, Stephen M; Mathematics & StatisticsA bistable reaction-diffusion system in a stretching flow, Physica D-Nonlinear Phenomena, vol.216,(2),2006,pp 307-318
2009Boltzmann's Dilemma: An Introduction to Statistical Mechanics via the Kac RingGottwald, Georg; Oliver, M; Mathematics & StatisticsBoltzmann's Dilemma: An Introduction to Statistical Mechanics via the Kac Ring, SIAM Review, vol.51, 3, 2009,pp 613-635
2016Broadband nature of power spectra for intermittent maps with summable and nonsummable decay of correlationsGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsBroadband nature of power spectra for intermittent maps with summable and nonsummable decay of correlations, Journal of Physics A: Mathematical and Theoretical, vol.49, March 2016, 2016,pp 174003-17 pages
2003Camassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water wavesDullin, Holger; Gottwald, Georg; Holm, Darryl D.; Mathematics & Statistics; Mathematics & StatisticsCamassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water waves, Fluid Dynamics Research, vol.33,(1),2003,pp 73-95
2016Central limit theorems and suppression of anomalous diffusion for systems with symmetryGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsCentral limit theorems and suppression of anomalous diffusion for systems with symmetry, Nonlinearity, vol.29, 10, 2016,pp 2941-2960
2008Comment on "Reliability of the 0 - 1 test for chaos"Gottwald, Georg; Melbourne, Ian; Mathematics & StatisticsComment on "Reliability of the 0 - 1 test for chaos", Physical Review E, vol.77,(2),2008,pp 028201-1-028201-2
2014A computational method to extract macroscopic variables and their dynamics in multi-scale systemsGottwald, Georg; Hammerlindl, Andrew; Froyland, Gary; Mathematics & Statistics; Mathematics & StatisticsA computational method to extract macroscopic variables and their dynamics in multi-scale systems, SIAM Journal on Applied Dynamical Systems, vol.13, 4, 2014,pp 1816-1846
2014Controlling balance in an ensemble Kalman filterGottwald, Georg; Mathematics & StatisticsControlling balance in an ensemble Kalman filter, Nonlinear Processes in Geophysics, vol.21, N/A, 2014,pp 417-426
2013Controlling model error of underdamped forecast models in sparse observational networks using a variance-limiting Kalman filterGottwald, Georg; Mitchell, Lewis; Mathematics & Statistics; Mathematics & StatisticsControlling model error of underdamped forecast models in sparse observational networks using a variance-limiting Kalman filter, Royal Meteorological Society. Quarterly Journal, vol.139, 670, 2013,pp 212-225
2011Controlling Overestimation of Error Covariance in Ensemble Kalman Filters with Sparse Observations: A Variance-Limiting Kalman FilterGottwald, Georg; Mitchell, Lewis; Reich, Sebastian; Mathematics & Statistics; Mathematics & StatisticsControlling Overestimation of Error Covariance in Ensemble Kalman Filters with Sparse Observations: A Variance-Limiting Kalman Filter, Monthly Weather Review, vol.139, N/A, 2011,pp 2650-2667
2012Data assimilation in slow-fast systems using homogenized climate modelsGottwald, Georg; Mitchell, Lewis; Mathematics & Statistics; Mathematics & StatisticsData assimilation in slow-fast systems using homogenized climate models, Journal of the Atmospheric Sciences, vol.69, 4, 2012,pp 1359-1377
2016A data-driven method for the stochastic parametrisation of subgrid-scale tropical convective area fractionGottwald, Georg; Davies, Laura; Peters, Karsten; Mathematics & StatisticsA data-driven method for the stochastic parametrisation of subgrid-scale tropical convective area fraction, Quarterly Journal of the Royal Meteorological Society, vol.142, N/A, 2016,pp 349-359
2009Ensemble propagation and continuous matrix factorization algorithmsGottwald, Georg; Bergemann, Kay; Reich, Sebastian; Mathematics & StatisticsEnsemble propagation and continuous matrix factorization algorithms, Royal Meteorological Society. Quarterly Journal, vol.135, 643,pp 1560-1572
2007High Lewis number combustion wavefronts: a perturbative Melnikov analysisGottwald, Georg; Hornibrook, John; Balasuriya, Sanjeeva; Lafortune, Stephane; Mathematics & Statistics; Mathematics & StatisticsHigh Lewis number combustion wavefronts: a perturbative Melnikov analysis, SIAM Journal on Applied Mathematics, vol.67,(2),2007,pp 464-486
2013Homogenization for deterministic maps and multiplicative noiseGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsHomogenization for deterministic maps and multiplicative noise, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, vol.469, 2156, 2013,pp 1-17