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Estimation of Lyapunov spectra from space–time data

✍ Scribed by Martin J. Bünner; R. Hegger

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
98 KB
Volume
258
Category
Article
ISSN
0375-9601

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✦ Synopsis

A method to estimate Lyapunov spectra from spatio-temporal data is presented, which is well-suited to be applied to experimental situations. It allows to characterize the high-dimensional chaotic states, with possibly a large number of positive Lyapunov exponents, observed in spatio-temporal chaos. The method is applied to data from a coupled map lattice.

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✍ M. Sadkane 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 194 KB

The solutions of the discrete-time Lyapunov equation applied to a matrix A with no eigenvalues on a circle are characterized. The equation is used to derive bounds for the powers of A