Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:B3L-C

Session:

Number:447

Using Lyapunov exponents in time series

Francisco Balibrea,  María Victoria Caballero,  

pp.447-449

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.447

PDF download (327.7KB)

Summary:
We complete some results from the literature, concerning the construction of examples proving that can exist dynamical systems in [0, 1) = I with forward orbits instable in the sense of Lyapunov and having negative Lyapunov exponents and forward orbits stable in the same sense,but having positive Lyapunov exponents. We study similar problems in the setting of non-autonomous systems, proving that concerning Lyapunov stability, the results are not comparable. These results can be proved in the setting of some time series.

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