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A New Test for Chaotic Dynamics Using Lyapunov ExponentsFernando Fernández RodríguezUniversity of Las Palmas de Gran Canaria - Faculty of Economic Science Simón Sosvilla RiveroComplutense University of Madrid Julián Andrada FélixUniversity of Las Palmas de Gran Canaria - Faculty of Economic Science March 2003 FEDEA Working Paper No. 2003-09 Abstract: We propose a new test to detect chaotic dynamics, based on the stability of the largest Lyapunov exponent from different sample sizes. This test is applied to the data used in the single-blind controlled competition tests for nonlinearity and chaos that were generated by Barnett et al. (1997), as well as to several chaotic series. The results suggest that the new test is particularly effective when compared to other stochastic alternatives (both linear and nonlinear). The test size is one for large samples, although for small sample sizes it diminishes below the nominal size for two out of the three chaotic processes considered, what is not a surprise given some well-known properties of such processes.
Number of Pages in PDF File: 40 Keywords: Chaos, Nonlinear Dynamics, Lyapunov exponents, Bootstrapping JEL Classification: C13, C14, C15, C22 working papers seriesDate posted: May 5, 2003Suggested CitationContact Information
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