On the Implementation of the 0-1 Test for Chaos
Gottwald, GA and Melbourne, I (2009) On the Implementation of the 0-1 Test for Chaos SIAM J APPL DYN SYST, 8 (1). pp. 129-145.
Available under License : See the attached licence file.
In this paper we address practical aspects of the implementation of the 0-1 test for chaos. In addition, we present a new formulation of the test which significantly increases its sensitivity. The test can be viewed as a method to distill a binary quantity from the power spectrum. The implementation is guided by recent results from the theoretical justification of the test as well as by exploring better statistical methods to determine the binary quantities. We give several examples to illustrate the improvement.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Identification Number :||10.1137/080718851|
|Uncontrolled Keywords :||deterministic dynamical systems, chaos, time series analysis, MULTIDIMENSIONAL SYSTEMS, DETERMINISTIC SYSTEMS, DYNAMICAL-SYSTEMS, GROUP EXTENSIONS, ORBITS|
|Additional Information :||Copyright 2009 Society for Industrial and Applied Mathematics|
|Depositing User :||Symplectic Elements|
|Date Deposited :||19 Mar 2012 12:02|
|Last Modified :||23 Sep 2013 19:18|
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