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Ian Melbourne
Researcher at University of Warwick
Publications - 178
Citations - 7145
Ian Melbourne is an academic researcher from University of Warwick. The author has contributed to research in topics: Dynamical systems theory & Central limit theorem. The author has an hindex of 45, co-authored 176 publications receiving 6481 citations. Previous affiliations of Ian Melbourne include University of Houston & University of Surrey.
Papers
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Journal ArticleDOI
A new test for chaos in deterministic systems
Georg A. Gottwald,Ian Melbourne +1 more
TL;DR: In this paper, a new test for determining whether a given deterministic dynamical system is chaotic or non-chaotic is proposed, which is applied directly to the time-series data and does not require phase space reconstruction.
Journal ArticleDOI
A New Test for Chaos
Georg A. Gottwald,Ian Melbourne +1 more
TL;DR: In this article, a new test for determining whether a given deterministic dynamical system is chaotic or non-chaotic is proposed, which is independent of the dimension of the system.
Journal ArticleDOI
On the Implementation of the 0-1 Test for Chaos
Georg A. Gottwald,Ian Melbourne +1 more
TL;DR: Practical aspects of the implementation of the 0–1 test for chaos in deterministic systems are addressed and a new formulation of the test is presented which significantly increases its sensitivity.
Journal ArticleDOI
On the Implementation of the 0-1 Test for Chaos
Georg A. Gottwald,Ian Melbourne +1 more
TL;DR: In this article, the authors present a new formulation of the 0-1 test for chaos in deterministic systems, which significantly increases its sensitivity and can be viewed as a method to distill a binary quantity from the power spectrum.
Journal ArticleDOI
Testing for Chaos in Deterministic Systems with Noise
Georg A. Gottwald,Ian Melbourne +1 more
TL;DR: The capability of a new test for distinguishing regular from chaotic dynamics in deterministic dynamical systems using the maximal Lyapunov exponent to cope with moderate amounts of noisy data is investigated.