Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 212, Issue 1-2, Pages 100-110Publisher
ELSEVIER
DOI: 10.1016/j.physd.2005.09.011
Keywords
testing for chaos; deterministic dynamical systems; nonlinear time series; Lyapunov exponents; measurement noise
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Funding
- Engineering and Physical Sciences Research Council [GR/S22714/01] Funding Source: researchfish
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Recently, we introduced a new test for distinguishing regular from chaotic dynamics in deterministic dynamical systems and argued that the test had certain advantages over the traditional test for chaos using the maximal Lyapunov exponent. In this paper, we investigate the capability of the test to cope with moderate amounts of noisy data. Comparisons are made between an improved version of our test and both the tangent space method and direct method for computing the maximal Lyapunov exponent. The evidence of numerical experiments, ranging from the logistic map to an eight-dimensional Lorenz system of differential equations (the Lorenz 96 system), suggests that our method is superior to tangent space methods and that it compares very favourably with direct methods. (c) 2005 Elsevier B.V. All rights reserved.
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