## Browsing by Author Melbourne, Ian

Showing results 1 to 14 of 14

Issue Date | Title | Author(s) | Citation |
---|---|---|---|

2016 | The 0-1 Test for Chaos: A Review | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | The 0-1 Test for Chaos: A Review in Chaos Detection and Predictability, Springer-Verlag, 2016, pp. 221-247 |

2007 | Application of the 0-1 Test for Chaos to Experimental Data | Falconer, Ian; Gottwald, Georg; Wormnes, Kjetil; Melbourne, Ian; Physics; Mathematics & Statistics; Civil Engineering | Application of the 0-1 Test for Chaos to Experimental Data, SIAM Journal on Applied Dynamical Systems, vol.6,(2),2007,pp 395-402 |

2016 | Broadband nature of power spectra for intermittent maps with summable and nonsummable decay of correlations | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | Broadband 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 |

2016 | Central limit theorems and suppression of anomalous diffusion for systems with symmetry | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | Central limit theorems and suppression of anomalous diffusion for systems with symmetry, Nonlinearity, vol.29, 10, 2016,pp 2941-2960 |

2008 | Comment on "Reliability of the 0 - 1 test for chaos" | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | Comment on "Reliability of the 0 - 1 test for chaos", Physical Review E, vol.77,(2),2008,pp 028201-1-028201-2 |

2013 | Homogenization for deterministic maps and multiplicative noise | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | Homogenization for deterministic maps and multiplicative noise, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, vol.469, 2156, 2013,pp 1-17 |

2013 | A Huygens principle for diffusion and anomalous diffusion in spatially extended systems | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | A 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 |

2004 | A New Test For Chaos In Deterministic Systems | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | A 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 |

2016 | On the detection of superdiffusive behaviour in time series | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | On the detection of superdiffusive behaviour in time series, Journal of Statistical Mechanics, vol.12, N/A, 2016,pp 1-17 |

2009 | On the implementation of the 0-1 test for chaos | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | On the implementation of the 0-1 test for chaos, SIAM Journal on Applied Dynamical Systems, vol.8, 1, 2009,pp 129-145 |

2009 | On the validity of the 0-1 test for chaos | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | On the validity of the 0-1 test for chaos, Nonlinearity, vol.22,(N/A),2009,pp 1367-1382 |

2008 | Power spectra for deterministic chaotic dynamical systems | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | Power spectra for deterministic chaotic dynamical systems, Nonlinearity, vol.21,(1),2008,pp 179-189 |

2014 | A test for a conjecture on the nature of attractors for smooth dynamical system | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | A test for a conjecture on the nature of attractors for smooth dynamical system, Chaos, vol.24, N/A, 2014,pp 024403-1-024403-9 |

2005 | Testing for chaos in deterministic systems with noise | Gottwald, Georg; Melbourne, Ian; Mathematics & Statistics | Testing for chaos in deterministic systems with noise, Physica D: Nonlinear Phenomena, vol.212,(1-2),2005,pp 100-110 |