Characterization of chaotic systems at transition points through dimension spectra
- 1 January 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (1) , 434-437
- https://doi.org/10.1103/physreva.39.434
Abstract
We study the behavior of chaotic systems at transition points (intermittency and crisis) through their dimension spectra f(α). In the transition regions the finite-statistics f(α) curves display a characteristic doubly peaked structure whose convergence to the asymptotic concave shape occurs for exceedingly large numbers of points. This slowing-down effect is studied for both the Duffing equation and the Hénon map and is used as a guideline in the interpretation of the spectra of NMR-laser experimental data sets.Keywords
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