Calculation of the entropy in chaotic systems
- 1 May 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 31 (5) , 3477-3479
- https://doi.org/10.1103/physreva.31.3477
Abstract
A systematic approximation which consists of neglecting long-time memory effects for the entropy in chaotic systems is studied and its fast convergence is demonstrated. We determine the Lyapunov exponent for some one-dimensional maps with a high precision. For example the Lyapunov exponent of the logistic map at the first band merging point is obtained as λ=0.342 172 7. . . .Keywords
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