Method for calculating a Lyapunov exponent
- 1 May 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 29 (5) , 2924-2927
- https://doi.org/10.1103/physreva.29.2924
Abstract
A new method is presented for calculating the leading Lyapunov exponent directly from experimental data for systems having a strange attractor with dimensionality near 2. The method is exact for one-dimensional maps and gives good results for systems that have approximate one-dimensional maps associated with them even in the presence of some noise. Numerical examples are given.Keywords
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