Balakrishnan, V. ; Nicolis, G. ; Nicolis, C. (1997) Recurrence time statistics in chaotic dynamics. I. Discrete time maps. Journal of Statistical Physics, 86 (1-2). pp. 191-212. ISSN 0022-4715
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Official URL: http://www.springerlink.com/index/P2M3615H34577254...
Related URL: http://dx.doi.org/10.1007/BF02180204
Abstract
The dynamics of transitions between the cells of a finite-phase-space partition in a variety of systems giving rise to chaotic behavior is analyzed, with special emphasis on the statistics of recurrence times. In the case of one-dimensional piecewise Markow maps the recurrence problem is cast into a-renewal process. In the presence of intermittency, transitions between cells define a non-Markovian, non-renewal process reflected in the presence of power-law probability distributions and of divergent variances and mean values.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| Keywords: | Recurrence Time; Escape Time; Markov Partition; Fully Developed Chaos; Intermittent Chaos |
| ID Code: | 1065 |
| Deposited On: | 25 Sep 2010 11:11 |
| Last Modified: | 11 May 2011 12:13 |
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