Browsing by Author Melbourne, Ian

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Showing results 1 to 14 of 14
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
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
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
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
2013A Huygens principle for diffusion and anomalous diffusion in spatially extended systemsGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsA Huygens principle for diffusion and anomalous diffusion in spatially extended systems, Proceedings of the National Academy of Sciences (PNAS), vol.110, 21, 2013,pp 8411-8416
2004A New Test For Chaos In Deterministic SystemsGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsA New Test For Chaos In Deterministic Systems, Proceedings of The Royal Society A. Mathematical, Physical and Engineering Sciences, vol.460,(2042),2004,pp 603-611
2016On the detection of superdiffusive behaviour in time seriesGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsOn the detection of superdiffusive behaviour in time series, Journal of Statistical Mechanics, vol.12, N/A, 2016,pp 1-17
2009On the implementation of the 0-1 test for chaosGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsOn the implementation of the 0-1 test for chaos, SIAM Journal on Applied Dynamical Systems, vol.8, 1, 2009,pp 129-145
2009On the validity of the 0-1 test for chaosGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsOn the validity of the 0-1 test for chaos, Nonlinearity, vol.22,(N/A),2009,pp 1367-1382
2008Power spectra for deterministic chaotic dynamical systemsGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsPower spectra for deterministic chaotic dynamical systems, Nonlinearity, vol.21,(1),2008,pp 179-189
2014A test for a conjecture on the nature of attractors for smooth dynamical systemGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsA test for a conjecture on the nature of attractors for smooth dynamical system, Chaos, vol.24, N/A, 2014,pp 024403-1-024403-9
2005Testing for chaos in deterministic systems with noiseGottwald, Georg; Melbourne, Ian; Mathematics & StatisticsTesting for chaos in deterministic systems with noise, Physica D: Nonlinear Phenomena, vol.212,(1-2),2005,pp 100-110