Spurious Lyapunov Exponents Computed Using the Eckmann-Ruelle Procedure
| dc.creator | Tempkin, Joshua A. | |
| dc.date | 2000-03-02 | |
| dc.date.accessioned | 2026-07-07T05:32:43Z | |
| dc.date.available | 2026-07-07T05:32:43Z | |
| dc.description | Lyapunov exponents can be difficult to determine from experimental data. In particular, when using embedding theory to build chaotic attractors in a reconstruction space, extra "spurious" Lyapunov exponents arise that are not Lyapunov exponents of the original system. By studying the local linearization matrices that are key to the Eckmann-Ruelle method for computing Lyapunov exponents, we determine explicit formulas for the spurious exponents in certain cases. Notably, when a two-dimensional system with Lyapunov exponents A and B is reconstructed in a five-dimensional space, we show that the reconstructed system has exponents A, B, 2A, A+B, 2B. | |
| dc.description | Ph.D. Thesis, c. 75 pages with front matter, 13 postscript figures, 3 tables, LATEX using "rotating" and "subfigure" packages, master file is mythesis.tex | |
| dc.identifier | https://arxiv.org/abs/nlin/0003007 | |
| dc.identifier | http://arxiv.org/abs/nlin/0003007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79756 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Spurious Lyapunov Exponents Computed Using the Eckmann-Ruelle Procedure | |
| dc.type | text |