Ian Melbourne's Publication List

Publications on 0-1 Test for Chaos

1. G. Gottwald and I. Melbourne. On the detection of superdiffusive behaviour in time series.
   J. Stat. Mech. (2016) 123205 (14 pages) (abstract, pdf file)

2. G. Gottwald and I. Melbourne. Broadband nature of power spectra for intermittent maps with summable and nonsummable decay of correlations.
   J. Phys. A 49 (2016) 174003 (17 pages) (abstract, pdf file)

3. G. Gottwald and I. Melbourne. A test for a conjecture on the nature of attractors for smooth dynamical systems.
   Chaos 24 (2014) 024403 (abstract, pdf file)

4. G. Gottwald and I. Melbourne. On the validity of the 0-1 test for chaos.
   Nonlinearity 22 (2009) 1367-1382. (abstract, pdf file)

5. G. Gottwald and I. Melbourne. On the implementation of the 0-1 test for chaos.
   SIAM J. Appl. Dyn. Sys. 8 (2009) 129-145 (abstract, pdf file)

6. G. Gottwald and I. Melbourne. Comment on ``Reliability of the 0-1 test for chaos''.
   Phys. Rev. E 77 (2008) 028201. (abstract, pdf file)

7. I. Melbourne and G. Gottwald. Power spectra for deterministic chaotic dynamical systems.
   Nonlinearity 21 (2008) 179-189. (abstract, pdf file)

8. I. Falconer, G. Gottwald, I. Melbourne and K. Wormnes. Application of the 0-1 Test for Chaos to Experimental Data.
   SIAM J. Appl. Dyn. Sys. 6 (2007) 395-402. (abstract, pdf file)

9. G. Gottwald and I. Melbourne. Testing for chaos in deterministic systems with noise.
   Physica D 212 (2005) 100-110. (abstract, pdf file)

10. G. Gottwald and I. Melbourne. A new test for chaos in deterministic systems.
    Proc. Roy. Soc. London A 460 (2004) 603-611. (abstract, pdf file)