Gade, P. M. ; Amritkar, R. E. (1990) Characterizing loss of memory in a dynamical system Physical Review Letters, 65 (4). pp. 389-392. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v65/i4/p389_1
Related URL: http://dx.doi.org/10.1103/PhysRevLett.65.389
Abstract
We propose here a new method to characterize the loss of memory with time in a chaotic system from a time series. This is done by introducing time-dependent generalized exponents. The asymptotic behavior can distinguish between chaotic systems which lose memory of the initial conditions completely, those which partially retain the memory, and those (borderline of chaos) which fully retain the memory. We give illustrative examples of the logistic and Henon maps.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 465 |
| Deposited On: | 21 Sep 2010 10:37 |
| Last Modified: | 12 May 2011 05:15 |
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