Memory Functions of the Additive Markov chains: Applications to Complex Dynamic Systems
| dc.creator | Melnyk, S. S. | |
| dc.creator | Usatenko, O. V. | |
| dc.creator | Yampol'skii, V. A. | |
| dc.date | 2004-12-28 | |
| dc.date | 2005-06-17 | |
| dc.date.accessioned | 2026-07-07T05:53:49Z | |
| dc.date.available | 2026-07-07T05:53:49Z | |
| dc.description | A new approach to describing correlation properties of complex dynamic systems with long-range memory based on a concept of additive Markov chains (Phys. Rev. E 68, 061107 (2003)) is developed. An equation connecting a memory function of the chain and its correlation function is presented. This equation allows reconstructing the memory function using the correlation function of the system. Thus, we have elaborated a novel method to generate a sequence with prescribed correlation function. Effectiveness and robustness of the proposed method is demonstrated by simple model examples. Memory functions of concrete coarse-grained literary texts are found and their universal power-law behavior at long distances is revealed. | |
| dc.description | 5 pages, 5 figures, changes of minor nature, 1 figure added | |
| dc.identifier | https://arxiv.org/abs/physics/0412169 | |
| dc.identifier | http://arxiv.org/abs/physics/0412169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/86773 | |
| dc.subject | Classical Physics | |
| dc.subject | Data Analysis, Statistics and Probability | |
| dc.title | Memory Functions of the Additive Markov chains: Applications to Complex Dynamic Systems | |
| dc.type | text |